Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density

A general formulation for multi-branches complete chaotic maps that preserve a specified invariant density is provided and an implication relationship among this class of maps is revealed. Such relationship helps to derive a whole family of complete chaotic maps that preserve not only the same invar...

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Main Author: Weihong Huang
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2009/378761
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author Weihong Huang
author_facet Weihong Huang
author_sort Weihong Huang
collection DOAJ
description A general formulation for multi-branches complete chaotic maps that preserve a specified invariant density is provided and an implication relationship among this class of maps is revealed. Such relationship helps to derive a whole family of complete chaotic maps that preserve not only the same invariant measure but also the same degree of chaos in terms of Lyapunov component.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2009-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-a617866c8da641da92116ea92475d1c92025-08-20T03:38:45ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/378761378761Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant DensityWeihong Huang0Nanyang Technological University, Nanyang Avenue, 639798, SingaporeA general formulation for multi-branches complete chaotic maps that preserve a specified invariant density is provided and an implication relationship among this class of maps is revealed. Such relationship helps to derive a whole family of complete chaotic maps that preserve not only the same invariant measure but also the same degree of chaos in terms of Lyapunov component.http://dx.doi.org/10.1155/2009/378761
spellingShingle Weihong Huang
Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density
Discrete Dynamics in Nature and Society
title Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density
title_full Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density
title_fullStr Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density
title_full_unstemmed Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density
title_short Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density
title_sort constructing multi branches complete chaotic maps that preserve specified invariant density
url http://dx.doi.org/10.1155/2009/378761
work_keys_str_mv AT weihonghuang constructingmultibranchescompletechaoticmapsthatpreservespecifiedinvariantdensity