Chaos synthesis by means of evolutionary algorithms

0309169 - ÚTIA 2009 RIV SG eng J - Journal Article
Zelinka, I. - Chen, G. - Čelikovský, Sergej
Chaos synthesis by means of evolutionary algorithms.
[Syntéza chaosu pomocí evolučních algoritmů.]
International Journal of Bifurcation and Chaos. Roč. 18, č. 4 (2008), s. 911-942. ISSN 0218-1274. E-ISSN 1793-6551
R&D Projects: GA ČR(CZ) GA102/08/0186
Institutional research plan: CEZ:AV0Z10750506
Keywords : Chaos * evolution * synthesis
Subject RIV: BC - Control Systems Theory
Impact factor: 0.870, year: 2008

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.

Článek zavádí pojem syntézy chaosu pomocí evolučních algoritmů, přičemž používá většinu typů těchto algoritmů. Nejdůležitější simulační výsledky jsou podrobně znázorněny a analyzovány.
Permanent Link: http://hdl.handle.net/11104/0161382