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Parameter estimation for chaotic system with initial random noises by particle swarm optimization

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  • Gao, Fei
  • Lee, Ju-Jang
  • Li, Zhuoqiu
  • Tong, Hengqing
  • Lü, Xiaohong

Abstract

This paper is concerned with the unknown parameters and time-delays of nonlinear chaotic systems with random initial noises. A scheme based on particle swarm optimization(PSO) is newly introduced to solve the problem via a nonnegative multi-modal nonlinear optimization, which finds a best combination of parameters and time-delays such that an objective function is minimized. The illustrative examples, in chaos systems with time-delays or free, are given to demonstrate the effectiveness of the present method.

Suggested Citation

  • Gao, Fei & Lee, Ju-Jang & Li, Zhuoqiu & Tong, Hengqing & Lü, Xiaohong, 2009. "Parameter estimation for chaotic system with initial random noises by particle swarm optimization," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1286-1291.
  • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1286-1291
    DOI: 10.1016/j.chaos.2009.03.074
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    Cited by:

    1. Xie, Bing & Ge, Fudong, 2023. "Parameters and order identification of fractional-order epidemiological systems by Lévy-PSO and its application for the spread of COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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