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

^*此作品的通讯作者

人工智能学院(人工智能研究院)

Chungnam National University

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

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

源语言	英语
页（从-至）	263-270
页数	8
期刊	Bulletin of the Korean Mathematical Society
卷	49
期	2
DOI	https://doi.org/10.4134/BKMS.2012.49.2.263
出版状态	已出版 - 2012

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10.4134/BKMS.2012.49.2.263

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引用此

@article{eff3f1545f984ac6934359268445d5ec,

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",

number = "2",

}

TY - JOUR

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

摘要

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其它文件与链接

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引用此

Shadowable chain transitive sets of c¹-generic diffeomorphisms