Chaos synthesis by means of evolutionary algorithms

被引：45

作者：

Zelinka, Ivan ^{[1
]}

Chen, Guanrong ^{[2
]}

Celikovsky, Sergej ^{[3
]}

机构：

[1] Tomas Bata Univ Zlin, Fac Appl Informat, Dept Appl Informat, Zlin 76272, Czech Republic

[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, Control Theory Dept, Prague 18208 8, Czech Republic

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 04期

关键词：

chaos; evolution; synthesis; optimization; SOMA; differential evolution; genetic algorithm; bifurcation; Lyapunov exponent;

D O I：

10.1142/S021812740802077X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces the notion of chaos synthesis by means of evolutionary algorithms and develops a new method for chaotic systems synthesis. This method is similar to genetic programming and grammatical evolution and is being applied along with three evolutionary algorithms: differential evolution, self-organizing migration and genetic algorithm. The aim of this investigation is to synthesize new and "simple" chaotic systems based on some elements contained in a prechosen existing chaotic system and a properly defined cost function. The investigation consists of eleven case studies: the aforementioned three evolutionary algorithms in eleven versions. For all algorithms, 100 simulations of chaos synthesis were repeated and then averaged to guarantee the reliability and robustness of the proposed method. The most significant results were carefully selected, visualized and commented in this report.

引用

页码：911 / 942

页数：32

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