The essential coexistence phenomenon in dynamics

Jianyu Chen; Huyi Hu; Yakov Pesin

doi:10.1080/14689367.2013.830035

The essential coexistence phenomenon in dynamics

Jianyu Chen, Huyi Hu, Yakov Pesin

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Abstract

This article is a survey of recent results on the essential coexistence of hyperbolic and non-hyperbolic behaviour in dynamics. Though in the absence of a general theory, the coexistence phenomenon has been shown in various systems during the last three decades. We will describe the contemporary state of the art in this area with emphasis on some new examples in smooth conservative systems, in both cases of discrete and continuous-time.

Original language	English (US)
Pages (from-to)	453-472
Number of pages	20
Journal	Dynamical Systems
Volume	28
Issue number	3
DOIs	https://doi.org/10.1080/14689367.2013.830035
State	Published - Sep 1 2013

All Science Journal Classification (ASJC) codes

General Mathematics
Computer Science Applications

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10.1080/14689367.2013.830035

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author = "Jianyu Chen and Huyi Hu and Yakov Pesin",

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AB - This article is a survey of recent results on the essential coexistence of hyperbolic and non-hyperbolic behaviour in dynamics. Though in the absence of a general theory, the coexistence phenomenon has been shown in various systems during the last three decades. We will describe the contemporary state of the art in this area with emphasis on some new examples in smooth conservative systems, in both cases of discrete and continuous-time.

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The essential coexistence phenomenon in dynamics

Abstract

All Science Journal Classification (ASJC) codes

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