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arXiv · 1209.5595

Characterizations of dominated splitting system and its relation to hyperbolicity

Chun Fang·Mats Gyllenberg·Shitao Liu
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Abstract

Hyperbolicity and dominated splitting are two of the most important concepts in the global analysis of differentiable dynamics. In this paper we give several equivalent characterizations of the dominated splitting and in particular we show a criterion for dynamical systems being dominated splitting in terms of hyperbolicity.18 pages

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Chun Fang, Mats Gyllenberg, Shitao Liu. 2012-09-25. Characterizations of dominated splitting system and its relation to hyperbolicity. https://arxiv.org/abs/1209.5595

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