Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density
Author(s) -
Weihong Huang
Publication year - 2009
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2009/378761
Subject(s) - chaotic , invariant (physics) , mathematics , invariant measure , lyapunov exponent , class (philosophy) , chaotic systems , pure mathematics , computer science , artificial intelligence , mathematical physics , ergodic theory
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 relationshiphelps to derive a whole family of complete chaotic maps that preserve not only the same invariant measurebut also the same degree of chaos in terms of Lyapunov component
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