基本情况
张祥，中共党员。博士学位，上海交通大学特聘教授（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。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。
研究领域
常微分方程与动力系统,奇异摄动理论
教育背景
1994.09-1997.06 南京大学，数学系，博士
1988.09-1991.06 安徽师范大学，数学系，硕士
1984.09-1988.06 安徽师范大学，数学系，本科生，学士
工作经历
2015.07—今，上海交通大学，特聘教授
2002.08—今，上海交通大学，教授，博导（二级教授）
2001.10--2002.07，上海交通大学，副教授
2000.07--2001.09，南京师范大学，副教授
1997.07--2000.06，南京师范大学，讲师
1991.07--1994.08，安徽师范大学，助教
科研项目
1. 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。
2. 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。
3. Integrability theory and
dynamics of finite dimensional differential systems, 2025--2028, PI supported
by the National Natural Science Foundation of China。
4. 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。
5. Slow-fast systems with
noninvertible return maps，2022—2024，PI supported by the National
Natural Science Foundation of China。
6. 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。
7. 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。
论文发表
1. Qiao Qi and Zhang Xiang;
Traveling waves to a chemotaxis-growth model with Allee effect. J. Differential
Equations 416 (2025), 1747–1770.
2. 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.
3. 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.
4. 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.
5. 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.
6. Xu Shoujun, Wu Hao and Zhang
Xiang; On the local Gevrey integrability. J. Differential Equations 382 (2024),
246–273.
7. 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.
8. 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.
9. 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.
10. Chen Hebai, Zhang Rui and Zhang
Xiang; New criterions on stability and order of analytic nilpotent foci. J.
Differential Equations 338 (2022), 352–371.
11. 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.
12. 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.
13. Shen Jianhe and Zhang Xiang;
Traveling pulses in a coupled FitzHugh-Nagumo equation. Phys. D 418 (2021),
132848.
14. 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.
15. Walcher Sebastian and Zhang
Xiang; Polynomial differential equations over the quaternions. J. Differential
Equations 282 (2021), 566–595.
16. 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.
17. Villadelprat Jordi and Zhang
Xiang; The period function of Hamiltonian systems with separable variables. J.
Dynam. Differential Equations 32 (2020), no. 2, 741–767.