Paper Title:

Solving Problems in Chaos Control though an Differential Evolution Algorithm with Region Zooming

Periodical Applied Mechanics and Materials (Volumes 110 - 116)
Main Theme Mechanical and Aerospace Engineering, ICMAE2011
Chapter Chapter 23: Computer-Aided Design, Manufacturing, and Engineering
Edited by Wu Fan
Pages 5048-5056
DOI 10.4028/www.scientific.net/AMM.110-116.5048
Citation Fei Gao et al., 2011, Applied Mechanics and Materials, 110-116, 5048
Online since October, 2011
Authors Fei Gao, Yi Bo Qi, Qiang Yin, Jia Qing Xiao
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In this paper, a novel scheme is propose to solve the problems in chaos control via a nonnegative multi–modal nonlinear optimization, which finds the unstable periodic orbits and best parameters of chaos system such that the objective function is minimized. The novel scheme embeds with a differential evolution algorithm consisting of techniques in three aspects: uniform design to the initial population, deflection and stretching to the objective functions, and the region zooming self–adaptively, which result in a much more effective searching mechanism with fine equilibrium between exploitation and exploration. To exhibit the new scheme’s performance, the experiments done to Hénon, Chen and Lü system are given, and the simulations done show that the method has better adaptability, dependability and robustness.

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