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Hyperbolicity of C 1-star invariant sets for C 1-class dynamical systems

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Abstract

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 and even the ergodic closing lemma.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing University, Nanjing, 210093, China

    XiongPing Dai

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  1. XiongPing Dai
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Dai, X. Hyperbolicity of C 1-star invariant sets for C 1-class dynamical systems. Sci. China Math. 54, 269–280 (2011). https://doi.org/10.1007/s11425-010-4090-8

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  • DOI: https://doi.org/10.1007/s11425-010-4090-8

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