A characterization of singular hyperbolicity via the linear Poincaré flow

Xiao Wen; Lan Wen; Dawei Yang

doi:10.1016/j.jde.2019.10.029

A characterization of singular hyperbolicity via the linear Poincaré flow

Xiao Wen
, Lan Wen
, Dawei Yang^*

^*Corresponding author for this work

School of Artificial Intelligence(Institute of Artificial Intelligence)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Singular hyperbolicity is a fundamental notion in dynamical systems that describes in particular Lorenz-like dynamics. It is defined using the tangent flow and concerns both the regular and singular parts of the dynamics. In this paper, we give a characterization of singular hyperbolicity using the linear Poincaré flow, which by definition is defined on the regular part (usually non-compact) of the dynamics only.

Original language	English
Pages (from-to)	4256-4275
Number of pages	20
Journal	Journal of Differential Equations
Volume	268
Issue number	8
DOIs	https://doi.org/10.1016/j.jde.2019.10.029
State	Published - 5 Apr 2020

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title = "A characterization of singular hyperbolicity via the linear Poincar{\'e} flow",

abstract = "Singular hyperbolicity is a fundamental notion in dynamical systems that describes in particular Lorenz-like dynamics. It is defined using the tangent flow and concerns both the regular and singular parts of the dynamics. In this paper, we give a characterization of singular hyperbolicity using the linear Poincar{\'e} flow, which by definition is defined on the regular part (usually non-compact) of the dynamics only.",

author = "Xiao Wen and Lan Wen and Dawei Yang",

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AU - Yang, Dawei

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AB - Singular hyperbolicity is a fundamental notion in dynamical systems that describes in particular Lorenz-like dynamics. It is defined using the tangent flow and concerns both the regular and singular parts of the dynamics. In this paper, we give a characterization of singular hyperbolicity using the linear Poincaré flow, which by definition is defined on the regular part (usually non-compact) of the dynamics only.

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DO - 10.1016/j.jde.2019.10.029

M3 - 文章

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VL - 268

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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ER -

A characterization of singular hyperbolicity via the linear Poincaré flow

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