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^*

^*此作品的通讯作者

人工智能学院(人工智能研究院)

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	4256-4275
页数	20
期刊	Journal of Differential Equations
卷	268
期	8
DOI	https://doi.org/10.1016/j.jde.2019.10.029
出版状态	已出版 - 5 4月 2020

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10.1016/j.jde.2019.10.029

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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.",

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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.

UR - https://www.scopus.com/pages/publications/85075390357

U2 - 10.1016/j.jde.2019.10.029

DO - 10.1016/j.jde.2019.10.029

M3 - 文章

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EP - 4275

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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