国家自然科学基金(10671088)

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Hyperbolicity of C^1 -star invariant sets for C^1 -class dynamical systems
《Science China Mathematics》2011年第2期269-280,共12页DAI XiongPing 
supported by National Natural Science Foundation of China (Grant No. 10671088);National Basic Research Program of China (973 Project) (Grant No. 2006CB805903)
In this paper, we simply prove, in the framework of Liao, the hyperbolicity of C 1 -star invariant sets of C 1 -class differential systems on a closed manifold of dimension≤ 4, without using the C 1 -connecting lemma...
关键词：autonomous differential system star property HYPERBOLICITY 
Integral expressions of Lyapunov exponents for autonomous ordinary differential systems被引量：3
《Science China Mathematics》2009年第1期195-216,共22页DAI XiongPing Department of Mathematics, Nanjing University, Nanjing 210093, China 
supported by the National Natural Science Foundation of China (Grant No. 10671088);the Major State Basic Research Development Program of China (Grant No. 2006CB805903)
In the paper, the author addresses the Lyapunov characteristic spectrum of an ergodic autonomous ordinary differential system on a complete riemannian manifold of finite dimension such as the d-dimensional euclidean s...
关键词：Lyapunov spectrum of differential system multiplicative ergodic theorem C 1-vector field smooth linear skew-product flow lifting of probability 34D08 37C10 60B05 37H15 28D10 
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