:Diffeomorphisms with the M0-shadowing Property论文

:Diffeomorphisms with the M0-shadowing Property论文

本文主要研究内容

作者(2019)在《Diffeomorphisms with the M0-shadowing Property》一文中研究指出:This paper studies the M0-shadowing property for the dynamics of diffeomorphisms defined on closed manifolds. The C1 interior of the set of all two dimensional diffeomorphisms with the M0-shadowing property is described by the set of all Anosov diffeomorphisms. The C1-stably M0-shadowing property on a non-trivial transitive set implies the diffeomorphism has a dominated splitting.

Abstract

This paper studies the M0-shadowing property for the dynamics of diffeomorphisms defined on closed manifolds. The C1 interior of the set of all two dimensional diffeomorphisms with the M0-shadowing property is described by the set of all Anosov diffeomorphisms. The C1-stably M0-shadowing property on a non-trivial transitive set implies the diffeomorphism has a dominated splitting.

论文参考文献

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  • 论文详细介绍

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