Takens theorem for random dynamical systems

Weigu Li; Kening Lu

doi:10.3934/dcdsb.2016093

Article Contents

2016, Volume 21, Issue 9: 3191-3207. Doi: 10.3934/dcdsb.2016093

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Takens theorem for random dynamical systems

Weigu Li^1, and
Kening Lu^2,

1.
School of Mathematics, Peking University, Beijing 100871
2.
Department of Mathematics, Brigham Young University, Provo, Utah 84602

Received: September 30, 2015

Revised: December 31, 2015

Published: October 2016

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Abstract

In this paper, we study random dynamical systems with partial hyperbolic fixed points and prove the smooth conjugacy theorems of Takens type based on their Lyapunov exponents.

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Mathematics Subject Classification: Primary: 37H99; Secondary: 37C15, 37C40, 37D25, 37D30.

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