博士，1997，南京大学
Ph.D, 1997, Nanjing University
常微分方程与动力系统, 奇异摄动理论
Ordinary Differential Equations and Dynamical Systems, Singular perturbation theory
欧洲科学与艺术院院士
Member of European Academy of Sciences and Arts
大阳城娱乐官方网站平台介绍特聘教授（二级教授、博士生导师），享受国务院特殊津贴。2018年入选欧洲科学与艺术院院士。
主要从事常微分方程的定性、分支和可积理论，以及奇异摄动理论及其应用等方面的研究。代表性研究成果发表在《American J. Mathematics》、《Advances in Mathematics》、《Communications in Mathematical Physics》、《Ergodic Theory and Dynamical Systems》、《J. Differential Equations》、《J. Functional Analysis》、《J. Nonlinear Sciences》、《Physical D》、《Pacific J. Mathematics》和《Transaction of American Mathematical Society》等国际重要数学期刊上。现已独立在Springer出版社出版专著《Integrable Theory of Dynamical Systems: Algebra and Analysis》和科学出版社出版教材《常微分方程》各一部。
近年来多次应邀在德国、法国、西班牙、美国、加拿大、日本和墨西哥等召开的动力系统国际学术会议上做大会特邀报告。现任中国数学会奇异摄动专业委员会主任和上海市数学会理事（曾任中国数学会理事）。担任SCI杂志《Qualitative Theory of Dynamical Systems》和《International Journal of Bifurcation and Chaos》的Associate编辑。
1994.09-1997.06 南京大学，数学系，获博士学位 (导师叶彦谦教授、罗定军教授）
Ph.D. in Mathematics, Nanjing University, Nanjing, Jiangsu, P.R. China
1988.09-1991.06 安徽师范大学，数学系，研究生，获硕士学位 (导师莫嘉琪教授、石炳国教授）
Master in Mathematics, Anhui Normal Univeristy, Wuhu, Anhui, P.R. China
1984.09-1988.06 安徽师范大学，数学系，本科生，获学士学位 (导师莫嘉琪教授）
Bachelor in Mathematics, Anhui Normal Univeristy, Wuhu, Anhui, P.R. China
工作经历：
国内（National）
2015.07-- , 大阳城娱乐官方网站平台介绍，特聘教授
Distinguished professor, Shanghai Jiao Tong University，Shanghai
2002.08--, 大阳城娱乐官方网站平台介绍，教授，博导（二级教授）
Professor, Shanghai Jiao Tong University，Shanghai
2001.10--2002.07, 大阳城娱乐官方网站平台介绍，副教授
Associate professor, Shanghai Jiao Tong University，Shanghai
2000.07--2001.09, 南京师范大学，副教授
Associate professor, Nanjing Normal University，Nanjing
1997.07--2000.06, 南京师范大学，讲师
Lecturer, Nanjing Normal University，Nanjing
1991.07--1994.08, 安徽师范大学，助教
Teaching assistant, Anhui Normal University
国外（Abroad）：
2007.10--2008.09， 西班牙巴塞罗那数学研究中心访问教授(合作研究)
Visiting professor (research), Centre de Recerca Mathematica, Barcelona, Spain
With professor Jaume Llibre and professor Armengol Gasull
2003.08--2004.08， 美国佐治亚理工学院，访问教授 (合作研究与教学)
Visiting professor (teaching and research), Georgia Institute of Technology, USA
With professor Yingfei Yi
1999.03--2001.03， 西班牙巴塞罗那数学研究中心博士后(合作研究)
Post-doctoral (research), Centre de Recerca Mathematica, Barcelona, Spain
With professor Jaume Llibre
2013.01--, Qualitative Theory of Dynamical Systems, Associate editor
2015.01--2021.12, International Journal of Bifurcation and Chaos, Associate editor
2017.07--, 中国数学会-奇异摄动专业委员会， 主任
Chinese Society of Singular Perturbation, of Chinese Mathematical Society, Director
2015.07--2017.06, 中国数学会-奇异摄动专业委员会， 常务副主任
2016-2024， 中国数学会，理事
2024-2028， 上海市数学会，理事
美国数学评论 （AMS MathScinet） 评论员 (Reviewer)
德国数学文摘 (Zentralblatt Math) 评论员 (Reviewer)
国家科技部重点研发项目：
Lienard 系统极限环与全局动力学/Hilbert第16问题与动力系统分岔理论, 2022.12—2027.11
项目编号 2022YFA1005900 课题2负责人
国家自然科学基金：
有限维微分系统的可积理论与动力学分析, 2025—2028
国家自然科学基金面上项目(12471169) 主持人
Integrability theory and dynamics of finite dimensional differential systems, 2025--2028, PI
supported by the National Natural Science Foundation of China
具有非可逆返回映射的快-慢系统, 2022—2024
国家自然科学基金国际合作重点项目(12161131001) 主持人
Slow-fast systems with noninvertible return maps, 2022--2024, PI
supported by the National Natural Science Foundation of China
动力系统的对称、可积与动力学, 2021—2024
国家自然科学基金面上项目(12071284) 主持人
Symmetry, integrability and dynamics of dynamical systems, 2021--2024, PI
supported by the National Natural Science Foundation of China
有限维动力系统可积的刻画及其动力学研究 2019—2022
国家自然科学基金面上项目(1187134) 第二合作人
Integrability and dynamics of finite dimensional dynamical systems, 2019--2022, co-PI
supported by the National Natural Science Foundation of China
动力系统的可积理论与动力学分析, 2017—2020
国家自然科学基金面上项目(11671254) 主持人
Integrability theory and dynamics of dynamical systems, 2017--2020, PI
supported by the National Natural Science Foundation of China
动力系统的可积、分支与嵌入流, 2013—2016
国家自然科学基金面上项目(11271252) 主持人
Integrability，bifurcation and embedding flows of dynamical systems, 2013--2016, PI
supported by the National Natural Science Foundation of China
常微分方程与动力系统的分支理论和应用, 2009—2012
国家自然科学基金重点项目(10831003) 主要参加者
Bifurcation and Applications of Ordinary Differential Equations and Dynamical Systems, 2009--2012, Local Leader
supported by the National Natural Science Foundation of China (important project)
有限维动力系统可积的代数、几何与拓扑性质, 2007—2009
国家自然科学基金面上项目(10671123) 主持人
The Algebra, Geometry and Topology for Integrable Dynamical Systems, 2007--2009, PI
supported by the National Natural Science Foundation of China
常微分方程和动力系统, 2003-2006
国家自然科学基金重点项目(10231020) 主要参加者
Ordinary Differential Equations and Dynamical Systems, 2003--2006, local leader
supported by the National Natural Science Foundation of China (important project)
多项式系统的极限环分支和不变代数曲线, 2000-2002
国家自然科学基金青年项目(19901013) 主持人
Bifurcation of Limit Cycles and Invariant Algebraic Curves of Polynomial Differential Systems, 2000--2002, PI
supported by the National Natural Science Foundation of China
人才基金：
教育部新世纪优秀人才支持计划, 2006--2008
中华人民共和国教育部(050391) 主持人
Program for New Century Excellent Talents in University, 2006--2008, PI
supported by the Ministry of Education of China
上海市浦江计划, 2009--2011
上海市科学技术委员会(09PJD013) 主持人
Integrability and Bifurcation of Periodic orbits of Dynamical Systems, 2009--2011, PI
supported by the Committee of Science and Technology of Shanghai (Pujiang Plan)
上海市曙光计划, 2003--2005
上海市教育委员会(03SG10) 主持人
Integrability Theory and Algebraic Invariant Set of Holomporphic Foliations, 2004--2005, PI
supported by the Committee of Education of Shanghai (Shuguang Plan)
国际合作项目:
Contributions to codimension k bifurcations in dynamical systems theory 2018-2021(Local leader)
supported by EUROPEAN Commission, Horizon 2020--Research and Innovation Framework Programme
Algunos aspectos de la dinamica local y global de los sistemas dinamicos continuos y discretos, 2017--2019, Participant
supported by Ministerio de Economia Y competitividad，SPAIN
Dynamical systems and their applications, 2013--2016, Local leader
supported by Marie Curie International Research Staff Exchange Scheme Fellowship of EUROPE
其它基金
微分方程的定性分析及其应用 2021-2025
上海市教育委员会科研创新项目 主要参加人
Qualitative analysis and applications of differential equations, 2021--2025 (Participant)
supported by Innovation Program of Shanghai Municipal Education Commission, China
非线性动力系统的可积理论及其应用 2015-2017
上海市教育委员会科研创新项目 主持人
Integrability theory of nonlinear dynamical systems and its application, 2015---2017, PI
supported by the Committee of Education of Shanghai (innovation program)
动力系统的嵌入流和可积性 2012-2013
教育部高等学校博士点基金 主持人
Embedding flow and integrability of dynamical systems, 2012--2013, PI
supported by the Ministry of Education of China (doctoral)
上海市白玉兰科技人才基金 2007
上海市科学技术委员会 主持人
多项式向量场的Darboux可积性 2002-2004
国家教育部留学回国基金 主持人
Darboux Integrability of Polynomial Vector Fields, 2002--2004, PI
supported by the Ministry of Education of China
Talks in conferences (abroad)
2019.9.2-8 (CRM, Montreal, Canada) New Trends in Polynomial Differential Systems
Plenary Talk: Dynamics of complex planar polynomial Hamiltonian systems.
Organized by Jaume Llibre and Dana Schlomiuk
2019.6.17-21 (Castro Urdiales, Spain) Advances in Qualitative Theory of Dynamical Systems
Plenary Talk: Dynamics of slow fast predator--prey model of generalized Holling type III
Organized by Rafel Prohens, Joan Torregrosa and Jordi Villadelprat
2018.9.3—7 (Universitat Autònoma de Barcelona, Spain), HAMSYS conference.
Plenary Talk: Dynamics of complex planar polynomial Hamiltonian systems.
Organized by Montserrat Corbera, Josep Maria Cors and Jaume Llibre
2016.9.5--9 (LLeida, Spain) Symposium on Planar Vector fields
Plenary Talk: Piecewise smooth differential systems with a center: normal form and limit cycle bifurcation,
Organized by Isaac A. García, Jaume Giné, Maite Grau and Susanna Maza
2015.4.20--25 (Tarragona, Spain) Advances in Qualitative Theory of Differential Equations
Plenary Talk: Varieties and normalization of partially integrable analytic differential systems,
Organized by Toni Garijo, Armengol Gasull, Joan Torregrosa and Jordi Villadelprat
2013.3.16--20(GaTech, Atlanta, USA) International conference on dynamics of differential equations
Invited Talk: The analytic normal form of diffeomorphisms on torus and its applications (40 minutes),
Organized by Profs. Luca Dieci, Rafael De la Llave, Yingfei Yi
2012.10.1--5(Salou, Spain) New trends in dynamical systems
Plenary Talk: The Hilbert 16th problem: a simple version on algebraic limit cycles (40 minutes),
Organized by Profs. Armengol Gassul and Lious Alseda
2011.9.12--16(Castro Urdiales, Spain) Advances in Qualitative Theory of Differential Equations
Plenary Talk: Generalized rational first integrals of analytic differential equations (1 hour),
Organized by Profs. Joan Torregrosa and Armengol Gasull
2010.12.12--18 (Mathematisches Forschungsinstitut Oberwolfach, Germany) Mini-Workshop: Algebraic and Analytic Techniques for Polynomial Vector Fields
Plenary Talk: Darboux Theory of Integrability (1 hour talk and half hour discussion),
Organized by Prof. Armengol Gasull, Jaume Llibre and Sebastian Walcher
2008. 11.23--11.28(Banff, Canada), 08w5055: Classical Problems on Planar Polynomial Vector Field
Plenary Talk: Darboux Theory of Integrability for Polynomial Differential Systems (1 hour),
Organized by Prof. Jaume Llibre, Prof. Dana Schlomiuk and Prof. Douglas Shafe
2008. 09.16-09.19(Santiago de Compostela, Spain), Conference on Boundary Value Problems, Mathematical Models in Engineering, Biology and Medicine.
Invited Talk: Analytic Normalization of Analytic Integrable Systems (40 minites),
Organized by Prof. Juan J. Nieto and Prof. Alberto Cabada
Visiting positions (abroad)
2019 (AUG 26--SEP 2), Visiting professor, Western University (Ontario), Canada
Seminar Talk: Dynamics of a slow-fast predator-prey model of generalized Holling type III
host by Pei YU
2019 (FEB 28--MAR 4), Member in Annual conference, European Academy of Science and Arts (Salzburg), Austria
2018 (AUG 30--SEP 30), Visiting professor, Centre de Recerca Mathematica (Barcelona), Spain
Seminar talk: Dynamics of complex planar polynomial Hamiltonian systems
host by Jaume LLIBRE
2018 (SEP 25--27), Visiting professor, Universite de Nice, France
Seminar Talk: Global and local integrability of differential systems and its application
host by Laurent STOLOVITCH
2016 (JUL 5--SEP 4), Visiting professor, Depart. Appl. Math. University of Craiova, Romania
Seminar Talks: a series on different topics
host by Dana CONSTANTINESCU
2016 (JAN 24--MAR 23), Visiting professor, Depart. Math. Universitat Autonoma de Barcelona, Spain
Seminar talk: Varieties and normalization of integrable (partially) analytic differential systems
host by Jaume LLIBRE and Francesc MANOSAA
2015 (AUG 6--SEP 5), Visiting professor, CAMTP, University of Maribor, Slovenia
2014 (JAN 16--MAR 15), Visiting professor, Centre de Recerca Matematica, Barcelona, Spain
2011 (AUG 27--SEP 11), Visiting professor, LMA/CNRS, Marseille, France
2007.10--2008.09, Visiting professor, Centre de Recerca Matematica, Barcelona, Spain
2005 (JUN 15--JUL 31), Visiting professor, York University, Canada
2005 (AUG 01--AUG 15), Visiting professor, University of Alberta, Canada
2003.8--2004.8, Visiting professor, Georgia Institute of Technology, USA
1999.03--2001.03, Post--doctoral, Centre de Recerca Mathematica (Barcelona), Spain
专著和教材：
1. ZHANG Xiang, Integrability of dynamical systems: algebra and analysis. Developments in Mathematics, 47. Springer, Singapore, 2017.
2. 张祥，常微分方程，科学出版社，2015
代表性论文：
68. Qiao Qi and Zhang Xiang; Traveling waves to a chemotaxis-growth model with Allee effect. J. Differential Equations 416 (2025), 1747–1770.
67. Yang Yantao, Zhang Xiang and Zu Jian; Dynamics of a slow-fast Leslie-Gower predator-prey model with prey harvesting. Chaos 34 (2024), no. 10, Paper No. 103119, 19 pp.
66. Chen Hebai, Yang Hao, Zhang Rui and Zhang Xiang; New criterions on nonexistence of periodic orbits of planar dynamical systems and their applications. J. Nonlinear Sci. 34 (2024), no. 5, Paper No. 96, 66 pp.
65. Chen Hebai, Wang Lina and Zhang Xiang; A necessary and sufficient condition on algebraic limit cycles of a hybrid van der Pol–Rayleigh oscillator. J. Differential Equations 406 (2024),255–275.
64. Qiao Qi and Zhang Xiang; The spectrum and stability of travelling pulses in a coupled FitzHugh-Nagumo equation. Sci. China Math. 67 (2024), no. 5, 975–1010.
63. Xu Shoujun, Wu Hao and Zhang Xiang; On the local Gevrey integrability. J. Differential Equations 382 (2024), 246–273.
62. Chen Hebai, Zhang Rui and Zhang Xiang; Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center. Adv. Math. 433 (2023), Paper No. 109326, 37 pp.
61. Qiao Qi and Zhang Xiang; Traveling waves and their spectral stability in Keller-Segel system with large cell diffusion. J. Differential Equations 344 (2023), 807–845.
60. Huang jianfeng, Liang Haihua and Zhang Xiang; A new Chebyshev criterion and its application to planar differential systems. J. Differential Equations 344 (2023), 658–695.
59. Chen Hebai, Zhang Rui and Zhang Xiang; New criterions on stability and order of analytic nilpotent foci. J. Differential Equations 338 (2022), 352–371.
58. Su Wei and Zhang Xiang; Global stability and canard explosions of the predator-prey model with the sigmoid functional response. SIAM J. Appl. Math. 82 (2022), no. 3,976–1000.
57. Llibre Jaume and Zhang Xiang; The Markus-Yamabe conjecture for continuous and discontinuous piecewise linear differential systems. Proc. Amer. Math. Soc. 149 (2021), no. 12, 5267–5274.
56. Shen Jianhe and Zhang Xiang; Traveling pulses in a coupled FitzHugh-Nagumo equation. Phys. D 418 (2021), 132848.
55. Yu Pei, Han Maoan and Zhang Xiang; Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system. J. Differential Equations 275 (2021), 939–959.
54. Walcher Sebastian and Zhang Xiang; Polynomial differential equations over the quaternions. J. Differential Equations 282 (2021), 566–595.
53. Wei Lijun and Zhang Xiang, Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems. Nonlinearity 33 (2020), no. 6, 2723–2754.
52. Villadelprat Jordi and Zhang Xiang; The period function of Hamiltonian systems with separable variables. J. Dynam. Differential Equations 32 (2020), no. 2, 741–767.
51. Zhang Xiang; Homoclinic, heteroclinic and periodic orbits of singularly perturbed systems. Sci. China Math. 62 (2019), no. 9, 1687–1704.
50. Wang Cheng and Zhang Xiang; Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III. J. Differential Equations 267 (2019), no. 6, 3397–3441.
49. Llibre Jaume and Zhang Xiang; Limit cycles created by piecewise linear centers. Chaos 29 (2019), no. 5, 053116, 14 pp.
48. Llibre Jaume and Zhang Xiang; The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems. Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 1, 1–14.
47. Zhang Xiang, Dynamics of a nonlinear equation modelling the capillary rise. Phys. D 384/385 (2018), 34–38.
46. Schlomiuk Dana and Zhang Xiang, Quadratic differential systems with complex conjugate invariant lines meeting at a finite point. J. Differential Equations 265 (2018), no. 8, 3650–3684.
45. Wang Cheng and Zhang Xiang, Stability loss delay and smoothness of the return map in slow-fast systems. SIAM J. Appl. Dyn. Syst. 17 (2018), no. 1, 788–822.
44. Wei Lijun and Zhang Xiang, Averaging theory of arbitrary order for piecewise smooth differential systems and its application. J. Dynam. Differential Equations 30 (2018), no. 1, 55–79.
43. Han Maoan, Sheng Lijuan and Zhang Xiang, Bifurcation theory for finitely smooth planar autonomous differential systems. J. Differential Equations 264 (2018), no. 5, 3596–3618.
42. Wei Lijun, Romanovski Valery and Zhang Xiang, Generalized involutive symmetry and its application in integrability of differential systems. Z. Angew. Math. Phys. 68 (2017), no. 6, Art. 132, 21 pp.
41. Zhang Xiang, A note on local integrability of differential systems. J. Differential Equations 263 (2017), no. 11, 7309–7321.
40. Zhang Xiang, Liouvillian integrability of polynomial differential systems, Transactions of the American Mathematical Society, 368 (2016), 607--620.
39. 2. Du Zengji, Romanovski, VG. and Zhang Xiang, Varieties and analytic normalizations of partially integrable systems, J. Differential Equations, 260 (2016), 6855--6871.
38. Gine J, Llibre J, Wu Kesheng and Zhang Xiang, Averaging methods of arbitrary order, periodic solutions and integrability, J. Differential Equations 260 (2016), 4130--4156.
37. Gasull Armengol, Torregrosa Joan, Zhang Xiang, The number of polynomial solutions of polynomial Riccati equations, Journal of Differential Equations，261 (2016), no 9, 5071--5093.
36. Wei Lijun and Zhang Xiang, Normal form and limit cycle bifurcation of piecewise smooth differential systems with a center, Journal of Differential Equations 261 (2016), no. 2, 1399—1428
35. Llibre Jaume and Zhang Xiang, Limit cycles of linear vector fields on manifolds, Nonlinearity, 29 (2016), no. 10, 3120--3131.
34. Wei Lijun and Zhang Xiang, Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems, Discrete and Continuous Dynamical Systems 36 (2016), no. 5, 2803--2825.
33. Weng Shiliang, Zhang Xiang, Integrability of vector fields versus inverse Jacobian multipliers and normaliers, Discrete and Continuous Dynamical Systems Series A 36 (2016), no. 11, 6539—6555
32. Llibre J., Valls C. and Zhang Xiang, The completely integrable differential systems are essentially linear differential systems, J. Nonlinear Science 25 (2015)，815—826
31. Gasull A., Yu Jiang and Zhang Xiang, Vector fields with homogeneous nonlinearities and many limit cycles, J. Differential Equations 258 (2015), 3286--3303.
30. Zhang Xiang, The embedding flow of 3-dimensional locally hyperbolic C^\infty diffeomorphisms, J. Dynamics and Differential Equations 27 (2015), no. 1, 29--54.
29. Tang Yilei, Wang Long and Zhang Xiang, Center of planar quintic quasi-homogeneous polynomial differential systems, Discrete and Continuous Dynamical Systems A, 35 (2015), no. 5, 2177--2191.
28. Zhang Xiang, Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems, J. Functional Analysis, 267 (2014), no. 7, 1889--1916.
27. Zhang Xiang, Inverse Jacobian multipliers and Hopf bifurcation on center manifolds, J. Differential Equations 256 (2014), no. 9, 3278--3299.
26. Wu Kesheng and Zhang Xiang, Analytic normalization of analytically integrable differential systems near a periodic orbit, J. Differential Equations 256 (2014), no. 11, 3552--3567.
25. Romanovski V.G., Xia Yonghui and Zhang Xiang, Varieties of local integrability of analytic differential systems and their applications, J. Differential Equations 257 (2014), 3079--3101.
24. Llibre Jaume, Saghin Radu and Zhang Xiang, On the analytic integrability of the 5-dimensional Lorenz system for the gravity-wave activity, Proc. Amer. Math. Soc. 142 (2014), no 2, 531--537.
23. Zhang Xiang, Analytic integrable systems: Analytic normalization and embedding flows, J. Differential Equations 254 (2013), no. 7, 3000--3022.
22. Wu Kesheng and Zhang Xiang, Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces, Physica D 244 (2013), 25--35.
21. Zhang Xiang, Analytic integrable systems: Analytic normalization and embedding flows, J. Differential Equations 254 (2013), no. 7, 3000--3022.
20. Zhang Xiang, Comment on “On the polynomial integrability of the Kirchoff equations Physica D 241 (2012) 1417-1420”, Physica D 250 (2013), 47—51
19. Liang Feng, Han Maoan and Zhang Xiang, Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems, J. Differential Equations 255 (2013) 4403--4436.
18. Cong Wang, Llibre Jaume and Zhang Xiang, Generalized rational first integrals of analytic differential systems, J. Differential Equations 251 (2011), no. 10, 2770--2788.
17. Zhang Xiang, Global structure of quaternion polynomial differential equations, Communications in Mathematical Physics 303 (2011), no. 2, 301--316.
16. Zhang Xiang, The embedding flows of $C^\infty$ hyperbolic diffeomorphisms, J. Differential Equations 250 (2011), no. 5, 2283--2298.
15. Zhang Xiang, The 16th Hilbert problem on algebraic limit cycles, J. Differential Equations 251 (2011), no. 7, 1778--1789.
14. Zhang Xiang, Embedding smooth diffeomorphisms in flows, J. Differential Equations 248 (2010), 1603—1616.
13. Llibre Jaume and Zhang Xiang, Rational first integrals in the Darboux theory of integrability in Cn. Bull. Sci. Math. 134 (2010), no. 2, 189–195
12. Zhang Xiang, Embedding diffeomorphisms in flows in Banach spaces, Ergodic Theory and Dynamical Systems 29 (2009), 1349--1367.
11. Llibre Jaume and Zhang Xiang, Hopf bifurcation in higher dimensional differential systems via the averaging method, Pacific J. Mathematics 240 (2009) 321--341.
10. Zhang Xiang, Darboux theory of integrability in Cn taking into account the multiplicity, J. Differential Equations 246 (2009) 541—551
9. Llibre Jaume and Zhang Xiang, On the algebraic limit cycles of Lienard systems, Nonlinearity 21 (2008), 2011--2022.
8. Chen Cheng, Cao Jinlong and Zhang Xiang , The topological structure of the Rabinovich system having an invariant algebraic surface, Nonlinearity 21 (2008), 211--220.
7. Chen Jian, Yi Yingfei and Zhang Xiang, First integrals and normal forms for germs of analytic vector fields, J. Differential Equations 245 (2008) 1167—1184
6. Zhang Xiang, Analytic normalization of analytic integrable systems and the embedding flows, J. Differential Equations 244 (2008) 1080—1092
5. Zhang Xiang，Planar analytic systems having locally analytic first integrals at an isolated singular point, Nonlinearity 17 (2004), no. 3, 791--801.
4. Li Weigu, Llibre Jaume and Zhang Xiang, Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles, Pacific J. Mathematics 213 (2004), no. 1, 49—77。
3. Llibre Jaume and Zhang Xiang, Invariant algebraic surfaces of the Lorenz system. J. Math. Phys. 43 (2002), no. 3, 1622–1645.
2. Llibre Jaume and Zhang Xiang, Polynomial first integrals for quasi-homogeneous polynomial differential systems, Nonlinearity 15 (2002), no. 4, 1269--1280.
1. Li Weigu, Llibre Jaume and Zhang Xiang, Extension of Floquet's theory to nonlinear periodic differential systems and embedding diffeomorphisms in differential flows,
American J. Mathematics 124 (2002), no. 1, 107--127.
1. Zhang Xiang, Integrability of dynamical systems: algebra and analysis. Developments in Mathematics, 47. Springer, Singapore, 2017. xv+380 pp. ISBN: 978-981-10-4225-6; 978-981-10-4226-3.
2. Zhang Xiang, Ordinary Differential Equations (book in Chinese), Science Press, Beijing, 2015.
3. Walcher Sebastian, Zhang Xiang, Polynomial differential equations over the quaternions. J. Differential Equations 282 (2021), 566--595.
4. Zhang Liwei, Yu Jiang, Zhang Xiang, Global Dynamical Behavior of FitzHugh-Nagumo Systems with Invariant Algebraic Surfaces. Qual. Theory Dyn. Syst. 20 (2021), no. 1, 16.
5. Shen Jianhe, Zhang Xiang, Traveling pulses in a coupled FitzHugh-Nagumo equation. Phys. D 418 (2021), 132848.
6. Yu Pei, Han Maoan, Zhang Xiang, Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system. J. Differential Equations 275 (2021), 939--959.
7. Liang Haihua, Li Shimin, Zhang Xiang, Limit cycles and global dynamics of planar piecewise linear refracting systems of focus--focus type. Nonlinear Anal. Real World Appl. 58 (2021), 103228, 15 pp.
8. Wei Lijun, Zhang Xiang, Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems. Nonlinearity 33 (2020), no. 6, 2723—2754.
9. Villadelprat Jordi, Zhang Xiang, The period function of Hamiltonian systems with separable variables. J. Dynam. Differential Equations 32 (2020), no. 2, 741--767.
10.Gasull Armengol, Torregrosa Joan, Zhang Xiang, Piecewise linear differential systems with an algebraic line of separation. Electron. J. Differential Equations 2020, Paper No. 19, 14 pp.
11.Zhang Xiang, Homoclinic, heteroclinic and periodic orbits of singularly perturbed systems. Sci. China Math. 62 (2019), no. 9, 1687--1704.
12.Pan Yangyou, Bai Yuzhen, Zhang Xiang, Dynamics of locally linearizable complex two dimensional cubic Hamiltonian systems. Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 6, 1761--1774.
13.Wang Cheng, Zhang Xiang, Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III. J. Differential Equations 267 (2019), no. 6, 3397--3441.
14.Llibre Jaume, Zhang Xiang, Limit cycles created by piecewise linear centers. Chaos 29 (2019), no. 5, 053116, 14 pp.
15.Tang Yilei, Zhang Xiang, Global dynamics of planar quasi-homogeneous differential systems. Nonlinear Anal. Real World Appl. 49 (2019), 90--110.
16.Llibre Jaume, Zhang Xiang, The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems. Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 1, 1--14.
17.Llibre Jaume, Zhang Xiang, Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 29 (2019), no. 2, 1950017, 17 pp.
18.Shi Juanrong, Wang Weixia, Zhang Xiang, Limit cycles of polynomial Liénard systems via the averaging method. Nonlinear Anal. Real World Appl. 45 (2019), 650--667.
19.Wang Cheng, Zhang Xiang, Relaxation oscillations in a slow-fast modified Leslie-Gower model. Appl. Math. Lett. 87 (2019), 147--153.
20.Llibre Jaume, Zhang Xiang, On the integrability of the Hamiltonian systems with homogeneous polynomial potentials. Appl. Math. Nonlinear Sci. 3 (2018), no. 2, 527--535.
21.Zhang Xiang, Dynamics of a nonlinear equation modelling the capillary rise. Phys. D 384/385 (2018), 34--38.
22.Llibre Jaume, Zhang Xiang, Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center. J. Math. Anal. Appl. 467 (2018), no. 1, 537--549.
23.Schlomiuk Dana, Zhang Xiang, Quadratic differential systems with complex conjugate invariant lines meeting at a finite point. J. Differential Equations 265 (2018), no. 8, 3650--3684.
24.Wang Cheng, Zhang Xiang, Stability loss delay and smoothness of the return map in slow-fast systems. SIAM J. Appl. Dyn. Syst. 17 (2018), no. 1, 788--822.
25.Chen Xiu, Chen Songlin, Zhang Xiang, Preface with a biography of Professor Jiaqi Mo. Qual. Theory Dyn. Syst. 17 (2018), no. 1, 1--6.
26.Wei Lijun, Zhang Xiang, Averaging theory of arbitrary order for piecewise smooth differential systems and its application. J. Dynam. Differential Equations 30 (2018), no. 1, 55--79.
27.Han Maoan, Sheng Lijuan, Zhang Xiang, Bifurcation theory for finitely smooth planar autonomous differential systems. J. Differential Equations 264 (2018), no. 5, 3596--3618.
28.Wei Lijun, Romanovski Valery, Zhang Xiang, Generalized involutive symmetry and its application in integrability of differential systems. Z. Angew. Math. Phys. 68 (2017), no. 6, 68:132.
29.Zhang Xiang， A note on local integrability of differential systems. J. Differential Equations 263 (2017), no. 11, 7309--7321.
30.Llibre Jaume, Zhang Xiang, Limit cycles of the classical Li\'enard differential systems: a survey on the Lins Neto, de Melo and Pugh's conjecture. Expo. Math. 35 (2017), no. 3, 286--299.
31.Llibre Jaume, Zhang Xiang, Dynamics of some three--dimensional Lotka--Volterra systems. Mediterr. J. Math. 14 (2017), no. 3, Art. 126, 13 pp.
32.Llibre Jaume, Valls Claudia, Zhang Xiang, Liouvillian integrability versus Darboux polynomials. Qual. Theory Dyn. Syst. 15 (2016), no. 2, 503--515.
33.Han Maoan, Romanovski Valery G., Zhang Xiang, Equivalence of the Melnikov function method and the averaging method. Qual. Theory Dyn. Syst. 15 (2016), no. 2, 471--479.
34.Llibre Jaume, Zhang Xiang, Limit cycles of linear vector fields on manifolds. Nonlinearity 29 (2016), no. 10, 3120--3131.
35.Weng Shiliang, Zhang Xiang, Integrability of vector fields versus inverse Jacobian multipliers and normalizers. Discrete Contin. Dyn. Syst. 36 (2016), no. 11, 6539--6555.
36.Gasull Armengol, Torregrosa Joan, Zhang Xiang, The number of polynomial solutions of polynomial Riccati equations. J. Differential Equations 261 (2016), no. 9, 5071--5093.
37.Wei Lijun, Zhang Xiang, Normal form and limit cycle bifurcation of piecewise smooth differential systems with a center. J. Differential Equations 261 (2016), no. 2, 1399--1428.
38.Wei Lijun, Zhang Xiang, Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems. Discrete Contin. Dyn. Syst. 36 (2016), no. 5, 2803--2825.
39.Du Zengji, Romanovski Valery G., Zhang Xiang, Varieties and analytic normalizations of partially integrable systems. J. Differential Equations 260 (2016), no. 9, 6855--6871.
40.Gin\'e Jaume, Llibre Jaume, Wu Kesheng, Zhang Xiang, Averaging methods of arbitrary order, periodic solutions and integrability. J. Differential Equations 260 (2016), no. 5, 4130--4156.
41.Zhang Xiang, Liouvillian integrability of polynomial differential systems. Trans. Amer. Math. Soc. 368 (2016), no. 1, 607--620.
42.Llibre Jaume, Zhang Xiang, On the limit cycles of linear differential systems with homogeneous nonlinearities. Canad. Math. Bull. 58 (2015), no. 4, 818--823.
43.Llibre, Jaume; Yu, Jiang; Zhang, Xiang On polynomial integrability of the Euler equations on so(4). J. Geom. Phys. 96 (2015), 36--41.
44.Llibre Jaume, Valls Claudia, Zhang Xiang, The completely integrable differential systems are essentially linear differential systems. J. Nonlinear Sci. 25 (2015), no. 4, 815--826.
45.Gasull Armengol, Yu Jiang, Zhang Xiang, Vector fields with homogeneous nonlinearities and many limit cycles. J. Differential Equations 258 (2015), no. 9, 3286--3303.
46.Zhang Xiang, The embedding flow of 3-dimensional locally hyperbolic $C^\infty$ diffeomorphisms. J. Dynam. Differential Equations 27 (2015), no. 1, 29--54.
47.Tang Yilei, Wang Long, Zhang Xiang, Center of planar quintic quasi-homogeneous polynomial differential systems. Discrete Contin. Dyn. Syst. 35 (2015), no. 5, 2177--2191.
48.Romanovski Valery G., Xia Yonghui, Zhang Xiang, Varieties of local integrability of analytic differential systems and their applications. J. Differential Equations 257 (2014), no. 9, 3079--3101.
49.Zhang Xiang, Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems. J. Funct. Anal. 267 (2014), no. 7, 1889--1916.
50.Llibre Jaume, Walcher Sebastian, Zhang Xiang, Local Darboux first integrals of analytic differential systems. Bull. Sci. Math. 138 (2014), no. 1, 71--88.
51.Pan Yangyou, Zhang Xiang, Embedding flows of diffeomorphisms. Ann. Differential Equations 30 (2014), no. 2, 166--173.
52.Llibre Jaume, Yu Jiang, Zhang Xiang, On the limit cycles of the polynomial differential systems with a linear node and homogeneous nonlinearities. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 24 (2014), no. 5, 1450065, 7 pp.
53.Pan Yangyou, Wang Cong, Zhang Xiang, Global C^∞ integrability of cubic--linear polynomial differential systems. Qual. Theory Dyn. Syst. 13 (2014), no. 1, 73--87.
54.Wu Kesheng, Zhang Xiang, Analytic normalization of analytically integrable differential systems near a periodic orbit. J. Differential Equations 256 (2014), no. 11, 3552--3567.
55.Cao JinLong, Llibre Jaume, Zhang Xiang, Darboux integrability and algebraic limit cycles for a class of polynomial differential systems. Sci. China Math. 57 (2014), no. 4, 775--794.
56.Zhang Xiang, Inverse Jacobian multipliers and Hopf bifurcation on center manifolds. J. Differential Equations 256 (2014), no. 9, 3278--3299.
57.Llibre Jaume, Saghin Radu, Zhang Xiang, On the analytic integrability of the 5--dimensional Lorenz system for the gravity-wave activity. Proc. Amer. Math. Soc. 142 (2014), no. 2, 531--537.
58.Pi Dingheng, Zhang Xiang, The sliding bifurcations in planar piecewise smooth differential systems. J. Dynam. Differential Equations 25 (2013), no. 4, 1001--1026.
59.Pratt Elaine, Leger Alain, Zhang Xiang, Study of a transition in the qualitative behavior of a simple oscillator with Coulomb friction. Nonlinear Dynam. 74 (2013), no. 3, 517--531.
60.Zhang Yuanfan, Zhang Xiang, Dynamics of the Muthuswamy--Chua system. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 23 (2013), no. 8, 1350136, 7 pp.
61.Liang Feng, Han Maoan, Zhang Xiang, Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. J. Differential Equations 255 (2013), no. 12, 4403--4436.
62.Pi Dingheng, Yu Jiang, Zhang Xiang, On the sliding bifurcation of a class of planar Filippov systems. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 23 (2013), no. 3, 1350040, 18 pp.
63.Pan Yangyou, Zhang Xiang, Algebraic aspects of integrability for polynomial differential systems. J. Appl. Anal. Comput. 3 (2013), no. 1, 51--69.
64.Zhang Xiang, Comment on ``On the polynomial integrability of the Kirchoff equations, Physica D 241 (2012) 1417--1420''.Phys. D 250 (2013), 47--51.
65.Zhang Xiang, Analytic integrable systems: analytic normalization and embedding flows. J. Differential Equations 254 (2013), no. 7, 3000--3022.
66.Wu Kesheng, Zhang Xiang, Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces. Phys. D 244 (2013), 25--35.
67.Wu Kesheng, Zhang Xiang, Darboux polynomials and rational first integrals of the generalized Lorenz systems. Bull. Sci. Math. 136 (2012), no. 3, 291--308.
68.Llibre Jaume, Zhang Xiang, On the Darboux integrability of polynomial differential systems. Qual. Theory Dyn. Syst. 11 (2012), no. 1, 129--144.
69.Cong Wang, Llibre Jaume, Zhang Xiang, Generalized rational first integrals of analytic differential systems. J. Differential Equations 251 (2011), no. 10, 2770--2788.
70.Zhang Xiang, The 16th Hilbert problem on algebraic limit cycles. J. Differential Equations 251 (2011), no. 7, 1778--1789.
71.Zhang Xiang, Global structure of quaternion polynomial differential equations. Comm. Math. Phys. 303 (2011), no. 2, 301--316.
72.Llibre Jaume, Zhang Xiang, On the Hopf--zero bifurcation of the Michelson system. Nonlinear Anal. Real World Appl. 12 (2011), no. 3, 1650--1653.
73.Liu Fei, Llibre Jaume, Zhang Xiang, Heteroclinic orbits for a class of Hamiltonian systems on Riemannian manifolds. Discrete Contin. Dyn. Syst. 29 (2011), no. 3, 1097--1111.
74.Zhang Xiang, The embedding flows of C^∞ hyperbolic diffeomorphisms. J. Differential Equations 250 (2011), no. 5, 2283--2298.
75.Yu Xiaolan, Zhang Xiang, The hyperelliptic limit cycles of the Li\'enard systems. J. Math. Anal. Appl. 376 (2011), no. 2, 535--539.
76.Liu Fei, Zhang Xiang, Integrable natural Hamiltonian systems on the suspensions of toric automorphism. Qual. Theory Dyn. Syst. 9 (2010), no. 1--2, 301--318.
77.Llibre Jaume, Yu Jiang, Zhang Xiang, Limit cycles for a class of third-order differential equations. Rocky Mountain J. Math. 40 (2010), no. 2, 581--594.
78.Zhang Xiang, Embedding smooth diffeomorphisms in flows. J. Differential Equations 248 (2010), no. 7, 1603--1616.
79.Llibre Jaume, Zhang Xiang, Rational first integrals in the Darboux theory of integrability in C^n. Bull. Sci. Math. 134 (2010), no. 2, 189--195.
80.Pi Dingheng, Zhang Xiang, Limit cycles of differential systems via the averaging methods. Can. Appl. Math. Q. 17 (2009), no. 1, 243--269.
81.Zhang Xiang, Analytic normalizations of analytic integrable systems. Mathematical models in engineering, biology and medicine, 342--348, AIP Conf. Proc., 1124, Amer. Inst. Phys., Melville, NY, 2009.
82.Liu Fei, Chen Cheng, Zhang Xiang, Integrable Hamiltonian systems with positive topological entropy. Bull. Sci. Math. 133 (2009), no. 8, 837--847.
83.Llibre Jaume, Zhang Xiang, Darboux theory of integrability for polynomial vector fields in $\mathbb R^n$ taking into account the multiplicity at infinity. Bull. Sci. Math. 133 (2009), no. 7, 765--778.
84.Gasull Armengol, Llibre Jaume, Zhang Xiang, One-dimensional quaternion homogeneous polynomial differential equations. J. Math. Phys. 50 (2009), no. 8, 082705, 17 pp.
85.Zhang Xiang, Embedding diffeomorphisms in flows in Banach spaces. Ergodic Theory Dynam. Systems 29 (2009), no. 4, 1349--1367.
86.Llibre Jaume, Zhang Xiang, Hopf bifurcation in higher dimensional differential systems via the averaging method. Pacific J. Math. 240 (2009), no. 2, 321--341.
87.Llibre Jaume, Zhang Xiang, Darboux theory of integrability in C^n taking into account the multiplicity. J. Differential Equations 246 (2009), no. 2, 541--551.
88.Llibre Jaume, Yu Jiang, Zhang Xiang, Limit cycles coming from the perturbation of 2--dimensional centers of vector fields in R^3. Dynam. Systems Appl. 17 (2008), no. 3-4, 625--635.
89.Cao Jinlong, Chen Cheng, Zhang Xiang, The Chen system having an invariant algebraic surface. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 18 (2008), no. 12, 3753--3758.
90.Chen Jian, Yi Yingfei, Zhang Xiang, First integrals and normal forms for germs of analytic vector fields. J. Differential Equations 245 (2008), no. 5, 1167--1184.
91.Llibre Jaume, Zhang Xiang, On the algebraic limit cycles of Li\'enard systems. Nonlinearity 21 (2008), no. 9, 2011--2022.
92.Zhang Xiang, Analytic normalization of analytic integrable systems and the embedding flows. J. Differential Equations 244 (2008), no. 5, 1080--1092.
93.Chen Cheng, Cao Jinlong, Zhang Xiang, The topological structure of the Rabinovich system having an invariant algebraic surface. Nonlinearity 21 (2008), no. 2, 211--220.
94.Chen Cheng, Liu Fei, Zhang Xiang, Orthogonal separable Hamiltonian systems on T^2. Sci. China Ser. A 50 (2007), no. 12, 1735--1747.
95.L\"{u} Tinghua, Zhang Xiang, Darboux polynomials and algebraic integrability of the Chen system. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 17 (2007), no. 8, 2739--2748.
96.Cao Jinlong, Zhang Xiang, Dynamics of the Lorenz system having an invariant algebraic surface. J. Math. Phys. 48 (2007), no. 8, 082702, 13 pp.
97.Yi Yingfei, Zhang Xiang, On exact Poisson structures. Nonlinear dynamics and evolution equations, 291--311, Fields Inst. Commun., 48, Amer. Math. Soc., Providence, RI, 2006.
98.Zhang Xiang, Exponential factors and Darboux integrability for the R\"{o}ssler system. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 14 (2004), no. 12, 4275--4283.
99.Zhang Xiang, Planar analytic systems having locally analytic first integrals at an isolated singular point. Nonlinearity 17 (2004), no. 3, 791--801.
100. Li Weigu, Llibre Jaume, Zhang Xiang, Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles. Pacific J. Math. 213 (2004), no. 1, 49--77.
101. Zhang, Xiang Local first integrals for systems of differential equations. J. Phys. A 36 (2003), no. 49, 12243--12253.
102. Llibre Jaume, Ponce Enrique, Zhang Xiang, Existence of piecewise linear differential systems with exactly n limit cycles for all n∈N. Nonlinear Anal. 54 (2003), no. 5, 977--994.
103. Zhang Xiang, Invariant algebraic curves and rational first integrals of holomorphic foliations in CP(2). Sci. China Ser. A 46 (2003), no. 2, 271--279.
104. Li Weigu, Llibre Jaume, Zhang Xiang, Local first integrals of differential systems and diffeomorphisms. Z. Angew. Math. Phys. 54 (2003), no. 2, 235--255.
105. Xie Feng, Zhang Xiang, Invariant algebraic surfaces of the Rabinovich system. J. Phys. A 36 (2003), no. 2, 499--516.
106. Zhang Xiang, On the limit cycles of quadratic differential systems. Acta Math. Sin. (Engl. Ser.) 18 (2002), no. 4, 803--816.
107. Zhang Xiang, Invariant hyperplanes and Darboux integrability of polynomial vector fields. J. Phys. A 35 (2002), no. 46, 9931--9941.
108. Zhang Xiang, Exponential factors and Darbouxian first integrals of the Lorenz system. J. Math. Phys. 43 (2002), no. 10, 4987--5001.
109. Llibre Jaume, Zhang Xiang, Polynomial first integrals for quasi--homogeneous polynomial differential systems. Nonlinearity 15 (2002), no. 4, 1269--1280.
110. Christopher Colin, Llibre Jaume, Pantazi Chara, Zhang Xiang, Darboux integrability and invariant algebraic curves for planar polynomial systems. J. Phys. A 35 (2002), no. 10, 2457--2476.
111. Llibre Jaume, Zhang Xiang, Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces. Rend. Circ. Mat. Palermo (2) 51 (2002), no. 1, 109--126.
112. Li Weigu, Llibre Jaume, Nicolau Marcel, Zhang Xiang, On the differentiability of first integrals of two-dimensional flows. Proc. Amer. Math. Soc. 130 (2002), no. 7, 2079--2088.
113. Llibre Jaume, Zhang Xiang, Darboux integrability for the R\"{o}ssler system. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 12 (2002), no. 2, 421--428.
114. Llibre Jaume, Zhang Xiang, Invariant algebraic surfaces of the Lorenz system. J. Math. Phys. 43 (2002), no. 3, 1622--1645.
115. Li Weigu, Llibre Jaume, Zhang Xiang, Extension of Floquet's theory to nonlinear periodic differential systems and embedding diffeomorphisms in differential flows. Amer. J. Math. 124 (2002), no. 1, 107--127.
116. Llibre Jaume, Zhang Xiang, Invariant algebraic surfaces of the Belousov--Zhabotinskii systems. The geometry of differential equations and dynamical systems. Comput. Appl. Math. 20 (2001), no. 1--2, 195--219.
117. Llibre Jaume, Zhang Xiang, Polynomial first integrals of quadratic systems. Rocky Mountain J. Math. 31 (2001), no. 4, 1317--1371.
118. Llibre Jaume, Zhang Xiang, Topological phase portraits of planar semi-linear quadratic vector fields. Houston J. Math. 27 (2001), no. 2, 247--296.
119. Li Weigu, Llibre Jaume, Zhang Xiang, Planar analytic vector fields with generalized rational first integrals. Bull. Sci. Math. 125 (2001), no. 5, 341--361.
120. Llibre Jaume, Zhang Xiang, On the number of limit cycles for some perturbed Hamiltonian polynomial systems. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 8 (2001), no. 2, 161--181.
121. Zhang Xiang, Ergodicity of limit cycles in quadratic systems. Nonlinear Anal. 44 (2001), no. 1, Ser. A: Theory Methods, 1--19.
122. Llibre Jaume, Zhang Xiang, Invariant algebraic surfaces of the Rikitake system. J. Phys. A 33 (2000), no. 42, 7613--7635.
123. Zhang, Xiang Integrals of motion of the Rabinovich system. J. Phys. A 33 (2000), no. 28, 5137--5155.
124. Zhang Xiang， Bifurcation of limit cycles for the quadratic differential system $(III)_{l=n=0}$. Acta Math. Appl. Sinica (English Ser.) 15 (1999), no. 4, 368--373.
125. Zhang Xiang， Existence of limit cycles in a multiply--connected region. A Chinese summary appears in Chinese Ann. Math. Ser. A 20 (1999), no. 2, 267. Chinese Ann. Math. Ser. B 20 (1999), no. 2, 169--172.
126. Zhang Xiang, Bifurcation and distribution of limit cycles for quadratic differential systems of type II. J. Math. Anal. Appl. 233 (1999), no. 2, 508--534.
127. Zhang Xiang, Limit cycles and bifurcation phenomena for quadratic differential systems of type $(III)_{h=0}$. (Chinese) Chinese Ann. Math. Ser. A 19 (1998), no. 2, 211--220; translation in Chinese J. Contemp. Math. 19 (1998), no. 2, 155--166.
128. Zhang Xiang, Ye Yanqian, On the number of invariant lines for polynomial systems. Proc. Amer. Math. Soc. 126 (1998), no. 8, 2249--2265.
129. Zhang Xiang, On two conjectures of the quadratic differential systems. A Chinese summary appears in Chinese Ann. Math. Ser. A 18 (1997), no. 5, 665. Chinese Ann. Math. Ser. B 18 (1997), no. 4, 429--434.
130. Zhang Xiang, Bifurcation problems for a class of special quadratic differential systems. (Chinese) Chinese Ann. Math. Ser. A 18 (1997), no. 2, 213--222; translation in Chinese J. Contemp. Math. 18 (1997), no. 2, 161--170.
131. Zhang Xiang, Ye Qin, Uniqueness of limit cycles of quadratic system $(III)_{m=0}$. Chinese Sci. Bull. 42 (1997), no. 8, 628--631.
132. Zhang Xiang， An existence theorem and estimation of the solution of the Robin problem for a class of nth order equations. Acta Math. Appl. Sinica (Chinese) 14 (1991), no. 3, 397--403.
学术荣誉（Honors):
欧洲科学与艺术院院士 (Member of European Academy of Sciences and Arts)
奖励 (Awards):
上海市自然科学奖二等奖，2003 （与韩茂安教授等合作）
项目名称：非线性系统动力学研究
教育部提名国家科学技术奖自然科学奖一等奖，2006 （与韩茂安教授等合作）
项目名称：非线性动力系统的全局理论及其应用
奖励（Awards):
2024年度大阳城娱乐官方网站平台介绍教学成果奖二等奖
2019年度大阳城娱乐官方网站平台介绍教书育人奖二等奖
2019年度大阳城娱乐官方网站平台介绍教学成果奖二等奖
2017年大阳城娱乐官方网站平台介绍优秀教师奖一等奖
2017届本科生施华毕业论文获校优异学士学位论文（指导教师）
2010年大阳城娱乐官方网站平台介绍优秀教师奖二等奖
2006年大阳城娱乐官方网站平台介绍教学成果奖一等奖（与周国标教授等合作）
教授课程（Courses):
2021.03--2021.07, 常微分方程, 数学吴文俊班二年级本科生（20人）,大阳城娱乐官方网站平台介绍
2020.09--2021.01, 动力系统的可积与分支, 数学研究生（4人）,大阳城娱乐官方网站平台介绍
2020.03--2020.07, 常微分方程, 数学吴文俊班二年级本科生（23人）,大阳城娱乐官方网站平台介绍
2019.09--2020.01, 动力系统的可积与分支, 数学研究生（3人）,大阳城娱乐官方网站平台介绍
2019.09--2020.01, 高等数学, 公共院系本科生（121人，代替他人）,大阳城娱乐官方网站平台介绍
2019.03--2019.07, 常微分方程, 数学、经管及其它院系等二年级本科生（115人）,大阳城娱乐官方网站平台介绍
2018.09--2019.01, 动力系统的可积与分支, 数学研究生（4人）,大阳城娱乐官方网站平台介绍
2018.03--2018.07, 高等数学, 公共院系一年级本科生（98人）,大阳城娱乐官方网站平台介绍
2017.09--2018.01, 线性代数, 公共院系一年级本科生（155人）,大阳城娱乐官方网站平台介绍
2017.09--2018.01, 常微分方程, 数学、经管及其它院系等二年级本科生（102人）,大阳城娱乐官方网站平台介绍
2017.03--2017.07, 常微分方程绪论, 数学四年级本科生（？人）,大阳城娱乐官方网站平台介绍
2016.09--2017.01, 常微分方程, 数学、经管等二年级本科生（104人）,大阳城娱乐官方网站平台介绍
2016.09--2017.01, 动力系统的可积与分支, 数学研究生（9人）,大阳城娱乐官方网站平台介绍
2016.03--2016.07, 动力系统, 数学三年级本科生（？人）,大阳城娱乐官方网站平台介绍
2015.09--2016.01, 线性代数, 农生大平台一年级本科生（133人）,大阳城娱乐官方网站平台介绍
2015.09--2016.01, 常微分方程, 数学、经管及其它院系等二年级本科生（89人）,大阳城娱乐官方网站平台介绍
2015.03--2015.07, 线性代数, 公共院系一年级本科生（118人）,大阳城娱乐官方网站平台介绍
2014.09--2015.01, 动力系统的可积与分支, 数学二年级研究生学位课（6人）,大阳城娱乐官方网站平台介绍
2014.09--2015.01, 常微分方程, 数学及经管学院等二年级本科生（102人）,大阳城娱乐官方网站平台介绍
2014.02--2014.06, 常微分方程, 数学及经管学院等二年级本科生（35人）,大阳城娱乐官方网站平台介绍
2013.09--2014.01, 动力系统的可积与分支, 数学二年级研究生学位课（9人）,大阳城娱乐官方网站平台介绍
2013.09--2014.01, 常微分方程, 数学及经管学院等二年级本科生（76人）,大阳城娱乐官方网站平台介绍
2013.02--2013.06, 常微分方程, 经管学院二年级本科生选修课（30人）,大阳城娱乐官方网站平台介绍
2012.09--2013.01, 动力系统的可积与分支, 数学二年级研究生学位课（8人）,大阳城娱乐官方网站平台介绍
2012.09--2013.01, 常微分方程, 数学及经管学院二年级本科生（80人）,大阳城娱乐官方网站平台介绍
2012.02--2012.06, 动力系统, 数学系三年级本科生选修课（14人）,大阳城娱乐官方网站平台介绍
2012.02--2011.06, 常微分方程, 经管学院二年级本科生选修课（19人）,大阳城娱乐官方网站平台介绍
2011.09--2012.01, 常微分方程, 数学及经管学院二年级本科生（100人）,大阳城娱乐官方网站平台介绍
2011.02--2011.07, 动力系统, 数学系三年级本科生选修课（10人）,大阳城娱乐官方网站平台介绍
2011.02--2011.07, 实变函数, 数学系等三年级本科生选修课（19人）,大阳城娱乐官方网站平台介绍
2010.09--2011.01, 常微分方程, 数学系二年级本科生（72人）,大阳城娱乐官方网站平台介绍
2010.09--2011.01, 常微分方程, 经济与管理学院三年级本科生（59人）,大阳城娱乐官方网站平台介绍
2010.02--2010.07, 动力系统, 数学系三年级本科生选修课（7人）,大阳城娱乐官方网站平台介绍
2009.09--2010.01, 常微分方程, 数学系二年级本科生（86人）,大阳城娱乐官方网站平台介绍
2009.09--2010.01, 常微分方程, 经济与管理学院三年级本科生（61人）,大阳城娱乐官方网站平台介绍
2009.02--2009.07, 实变函数, 经济学院本科生（39人,2,3,4年级学生）,大阳城娱乐官方网站平台介绍
2008.09--2009.01, 高等数学D, 非数学专业的面上本科（代替周放老师）,大阳城娱乐官方网站平台介绍
2007.02--2007.07, 应用泛函分析, 98 个数学专业的本科生,大阳城娱乐官方网站平台介绍
2007.02--2007.07, 经典力学的数学方法, 本方向的研究生,大阳城娱乐官方网站平台介绍
200６.09--2007.01, 常微分方程, 98 个数学专业的本科生,大阳城娱乐官方网站平台介绍
200６.09--2007.01, 常微分方程, 9 个数学专业的研究生,大阳城娱乐官方网站平台介绍
200６.0２--2006.0７, 应用泛函分析, ７２ 个非数学专业的研究生,大阳城娱乐官方网站平台介绍
2005.09--2006.01, 应用泛函分析, 54 个非数学专业的研究生,大阳城娱乐官方网站平台介绍
2005.09--2006.01, 生物数学, 83 个非数学专业的研究生, 大阳城娱乐官方网站平台介绍
2005.02--2005.07, 常微分方程, ７个数学专业的研究生, 大阳城娱乐官方网站平台介绍
2005.02--2005.07, 微分方程定性理论, 35 个本科生,大阳城娱乐官方网站平台介绍数学系
2005.02--2005.07, 线性代数, 94 个非数学专业的本科生, 大阳城娱乐官方网站平台介绍
2004.09--2005.01, 泛函分析, 71 个本科生,大阳城娱乐官方网站平台介绍数学系
2004.09--2005.01, 生物数学, 26 个非数学专业的研究生, 大阳城娱乐官方网站平台介绍
2004.01--2004.04, CalculusIIIMath2401, 52 个本科生,美国佐治亚理工学院
2003.08--2003.12, CalculusIIIMath2401, 20 个本科生, 美国佐治亚理工学院
2003.02--2003.07, 拓扑学, 70 个本科生,大阳城娱乐官方网站平台介绍数学系
2003.02--2003.07, 应用泛函分析, 50 个非数学专业的博士生，大阳城娱乐官方网站平台介绍
2002.09--2004.01, 泛函分析, 70 个本科生,大阳城娱乐官方网站平台介绍数学系
2002.09--2003.01, 矩阵理论, 70 个非数学专业的研究生, 大阳城娱乐官方网站平台介绍
2002.02--2002.07, 常微分方程, 11 个研究生，大阳城娱乐官方网站平台介绍数学系
2002.02--2002.07, 应用泛函分析, 50 个非数学专业的博士生，大阳城娱乐官方网站平台介绍
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