Constructing complete chaotic maps with reciprocal structures-Reference-Cited by-同舟云学术

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Constructing complete chaotic maps with reciprocal structures

Published:2005 Issue:3 Volume:2005 Page:357-372
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Huang Weihong¹

Affiliation:

1. Nanyang Technological University, Nanyang Avenue, Singapore, Singapore 639798

Abstract

A class of unimodal complete chaotic mapsf={fL,fR}with reciprocal functional forms(fR=1/fL)are examined. The necessary and sufficient conditions are provided to construct such maps. The theoretical conclusions are then verified by numerical simulations.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2005/462313.pdf

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The inverse Frobenius-Perron problem: A survey of solutions to the original problem formulation;AIMS Mathematics;2021

2. On the Complete Chaotic Maps that Preserve Prescribed Absolutely Continuous Invariant Densities;Topics on Chaotic Systems;2009-05

3. Constructing Multi-Branches Complete Chaotic Maps That Preserve Specified Invariant Density;Discrete Dynamics in Nature and Society;2009

4. On the complete chaotic transformations that preserve symmetric invariant densities;Chaos, Solitons & Fractals;2008-11

5. Constructing chaotic transformations with closed functional forms;Discrete Dynamics in Nature and Society;2006

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