An equivalent relationship in discrete dynamical systems

Guanrong Chen; Zuohuan Zheng

doi:10.1016/j.camwa.2004.09.007

An equivalent relationship in discrete dynamical systems

Guanrong Chen
, Zuohuan Zheng

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

1 Citation (Scopus)

Abstract

An equivalent relationship between the generalized ergodicity, almost everywhere E-chain transitivity, and the domain of influence of an invariant set for a discrete dynamical system on a compact metric space is explored. A necessary and sufficient condition for an invariant set to be a periodic orbit is given © 2005 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	1433-1437
Journal	Computers and Mathematics with Applications
Volume	49
Issue number	9-10
DOIs	https://doi.org/10.1016/j.camwa.2004.09.007
Publication status	Published - May 2005

Research Keywords

a.e. E-chain transitivity
Compact metric space
Generalized ergodicity
Periodic orbit

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title = "An equivalent relationship in discrete dynamical systems",

abstract = "An equivalent relationship between the generalized ergodicity, almost everywhere E-chain transitivity, and the domain of influence of an invariant set for a discrete dynamical system on a compact metric space is explored. A necessary and sufficient condition for an invariant set to be a periodic orbit is given {\textcopyright} 2005 Elsevier Ltd. All rights reserved.",

keywords = "a.e. E-chain transitivity, Compact metric space, Generalized ergodicity, Periodic orbit",

author = "Guanrong Chen and Zuohuan Zheng",

year = "2005",

month = may,

doi = "10.1016/j.camwa.2004.09.007",

language = "English",

volume = "49",

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journal = "Computers and Mathematics with Applications",

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TY - JOUR

T1 - An equivalent relationship in discrete dynamical systems

AU - Chen, Guanrong

AU - Zheng, Zuohuan

PY - 2005/5

Y1 - 2005/5

N2 - An equivalent relationship between the generalized ergodicity, almost everywhere E-chain transitivity, and the domain of influence of an invariant set for a discrete dynamical system on a compact metric space is explored. A necessary and sufficient condition for an invariant set to be a periodic orbit is given © 2005 Elsevier Ltd. All rights reserved.

AB - An equivalent relationship between the generalized ergodicity, almost everywhere E-chain transitivity, and the domain of influence of an invariant set for a discrete dynamical system on a compact metric space is explored. A necessary and sufficient condition for an invariant set to be a periodic orbit is given © 2005 Elsevier Ltd. All rights reserved.

KW - a.e. E-chain transitivity

KW - Compact metric space

KW - Generalized ergodicity

KW - Periodic orbit

UR - https://www.scopus.com/pages/publications/23344454499

UR - https://www.scopus.com/pages/publications/23344454499#tab=impact

U2 - 10.1016/j.camwa.2004.09.007

DO - 10.1016/j.camwa.2004.09.007

M3 - RGC 21 - Publication in refereed journal

SN - 0898-1221

VL - 49

SP - 1433

EP - 1437

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 9-10

ER -

An equivalent relationship in discrete dynamical systems

Abstract

Research Keywords

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