Shadowable chain transitive sets of c1-generic diffeomorphisms

Keonhee Lee; Xiao Wen

doi:10.4134/BKMS.2012.49.2.263

Shadowable chain transitive sets of c¹-generic diffeomorphisms

Keonhee Lee^*
, Xiao Wen

^*Corresponding author for this work

School of Artificial Intelligence(Institute of Artificial Intelligence)

Chungnam National University

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

16 Scopus citations

Abstract

We prove that a locally maximal chain transitive set of a C¹-generic diffeomorphism is hyperbolic if and only if it is shadowable.

Original language	English
Pages (from-to)	263-270
Number of pages	8
Journal	Bulletin of the Korean Mathematical Society
Volume	49
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.2012.49.2.263
State	Published - 2012

Keywords

Chain transitive
Generic
Hyperbolic
Shadowable

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10.4134/BKMS.2012.49.2.263

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title = "Shadowable chain transitive sets of c1-generic diffeomorphisms",

abstract = "We prove that a locally maximal chain transitive set of a C1-generic diffeomorphism is hyperbolic if and only if it is shadowable.",

keywords = "Chain transitive, Generic, Hyperbolic, Shadowable",

author = "Keonhee Lee and Xiao Wen",

year = "2012",

doi = "10.4134/BKMS.2012.49.2.263",

language = "英语",

volume = "49",

pages = "263--270",

journal = "Bulletin of the Korean Mathematical Society",

issn = "1015-8634",

publisher = "Korean Mathematical Society",

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T1 - Shadowable chain transitive sets of c1-generic diffeomorphisms

AU - Lee, Keonhee

AU - Wen, Xiao

PY - 2012

Y1 - 2012

N2 - We prove that a locally maximal chain transitive set of a C1-generic diffeomorphism is hyperbolic if and only if it is shadowable.

AB - We prove that a locally maximal chain transitive set of a C1-generic diffeomorphism is hyperbolic if and only if it is shadowable.

KW - Chain transitive

KW - Generic

KW - Hyperbolic

KW - Shadowable

UR - https://www.scopus.com/pages/publications/84859140313

U2 - 10.4134/BKMS.2012.49.2.263

DO - 10.4134/BKMS.2012.49.2.263

M3 - 文章

AN - SCOPUS:84859140313

SN - 1015-8634

VL - 49

SP - 263

EP - 270

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 2

ER -

Shadowable chain transitive sets of c¹-generic diffeomorphisms

Abstract

Keywords

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