Shadowing property for induced set-valued dynamical systems of some expansive maps

Yuhu Wu; Xiaoping Xue

Shadowing property for induced set-valued dynamical systems of some expansive maps

Yuhu Wu^*
, Xiaoping Xue

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Harbin University of Science and Technology

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

10 Scopus citations

Abstract

In this paper, we study the shadowing property for induced set-valued dynamical systems of some expansive maps. We show that if f is a positively expansive open map, then the induced map F has shadowing property. We introduce the notion of ball expansive maps, and show that such maps have shadowing property.

Original language	English
Pages (from-to)	405-414
Number of pages	10
Journal	Dynamic Systems and Applications
Volume	19
Issue number	3-4
State	Published - Sep 2010

Keywords

Ball expansive maps
Expansive maps
Induced set-valued map
Pseudo-orbit
Shadowing property

Cite this

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title = "Shadowing property for induced set-valued dynamical systems of some expansive maps",

abstract = "In this paper, we study the shadowing property for induced set-valued dynamical systems of some expansive maps. We show that if f is a positively expansive open map, then the induced map F has shadowing property. We introduce the notion of ball expansive maps, and show that such maps have shadowing property.",

keywords = "Ball expansive maps, Expansive maps, Induced set-valued map, Pseudo-orbit, Shadowing property",

author = "Yuhu Wu and Xiaoping Xue",

year = "2010",

month = sep,

language = "英语",

volume = "19",

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journal = "Dynamic Systems and Applications",

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T1 - Shadowing property for induced set-valued dynamical systems of some expansive maps

AU - Wu, Yuhu

AU - Xue, Xiaoping

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AB - In this paper, we study the shadowing property for induced set-valued dynamical systems of some expansive maps. We show that if f is a positively expansive open map, then the induced map F has shadowing property. We introduce the notion of ball expansive maps, and show that such maps have shadowing property.

KW - Ball expansive maps

KW - Expansive maps

KW - Induced set-valued map

KW - Pseudo-orbit

KW - Shadowing property

UR - https://www.scopus.com/pages/publications/78650314365

M3 - 文章

AN - SCOPUS:78650314365

SN - 1056-2176

VL - 19

SP - 405

EP - 414

JO - Dynamic Systems and Applications

JF - Dynamic Systems and Applications

IS - 3-4

ER -

Shadowing property for induced set-valued dynamical systems of some expansive maps

Abstract

Keywords

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