Paper Title:
Solving Problems in Chaos Control though an Differential Evolution Algorithm with Region Zooming
  Abstract

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.

  Info
Periodical
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
F. Gao, Y. B. Qi, Q. Yin, J. Q. Xiao, "Solving Problems in Chaos Control though an Differential Evolution Algorithm with Region Zooming", Applied Mechanics and Materials, Vols. 110-116, pp. 5048-5056, 2012
Online since
October 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Jun Zhang, Kan Yu Zhang
Chapter 19: Modeling, Analysis, and Simulation of Manufacturing Processes II
Abstract:Good dynamic performance of a system have great significance in the traditional sense, furthermore,it is more important at the point of...
4768
Authors: Wei Hua Fang
Chapter 6: Applied Mechanics
Abstract:In order to obtain geotechnical engineering material mechanical parameters correctly by using back analysis and overcome shortcoming of...
1647
Authors: Si Lian Xie, Tie Bin Wu, Shui Ping Wu, Yun Lian Liu
Chapter 18: Computer Applications in Industry and Engineering
Abstract:Evolutionary algorithms are amongst the best known methods of solving difficult constrained optimization problems, for which traditional...
2846
Authors: Bei Zhan Wang, Xiang Deng, Wei Chuan Ye, Hai Fang Wei
Chapter 13: Mechanical Control and Information Processing Technology
Abstract:The particle swarm optimization (PSO) algorithm is a new type global searching method, which mostly focus on the continuous variables and...
1787
Authors: Hai Yan Wang
Chapter 6: Production Management
Abstract:This paper presents a hybrid algorithm to address the flexible job-shop scheduling problem (FJSP). Based on Differential Evolution (DE), a...
502