基本情况
张祥,博士,上海交通大学数学系教授、博士生导师。获教育部新世纪优秀人才、上海市教委曙光学者和上海市科委浦江学者等称号。合作研究的成果获教育部自然科学一等奖和上海市自然科学二等奖等。
研究领域
常微分方程与动力系统
论文发表
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Zhang Xiang Global
Structure of Quaternion Polynomial Differential Equations, Communications in
Mathematical Physics 2011, (DOI) 10.1007/s00220-011-1196-y
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Zhang Xiang The
embedding flows of C∞ hyperbolic diffeomorphisms, J. Differential
Equations 250 (2011), 2283-2298
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Zhang Xiang Embedding
smooth diffeomorphisms in flows, J. Differential Equations 248
(2010), 1603-1616
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Zhang Xiang Embedding
diffeomorphisms in flows in Banach spaces Ergodic Theory and Dynamical
Systems 29 (2009), 1349-1367.
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Llibre Jaume and Zhang Xiang Hopf
bifurcation in higher dimensional differential systems via the averaging method
Pacific J. Math. 240 (2009) 321–341.
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Zhang Xiang Darboux
theory of integrability in Cn taking into account the multiplicity J.
Differential Equations 246 (2009) 541–551.
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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.
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Zhang Xiang Analytic normalization of
analytic integrable systems and the embedding flows
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J. Differential Equations 244
(2008) 1080–1092.
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Li Weigu, Llibre Jaume and Zhang
Xiang Melnikov functions for period annulus, nondegenerate centers,
heteroclinic and homoclinic cycles Pacific J. Math. 213 (2004), no. 1, 49—77.
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Llibre Jaume and Zhang Xiang On the
algebraic limit cycles of Li´enard systems Nonlinearity 21 (2008), 2011--2022.
Cheng Chen, Jinlong Cao and Xiang Zhang The topological structure of the
Rabinovich system having an invariant algebraic surface Nonlinearity 21 (2008),
211--220
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Zhang Xiang Planar analytic systems having
locally analytic first integrals at an isolated singular point. Nonlinearity
17 (2004), no. 3, 791--801. 34C05 (34C14)
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Llibre Jaume and Zhang Xiang Polynomial
first integrals for quasi-homogeneous polynomial differential
systems.Nonlinearity 15 (2002), no. 4, 1269--1280. 2003c:34011
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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. Math.
124 (2002), no. 1, 107--127. 2002k:37028