Bifurcation analysis by particle swarm optimization

• Matsushita Haruna

  Dept. of Electronics and Information Engineering, Kagawa University

• Kurokawa Hiroaki

  Dept. of Electric and Electronic Engineering, Tokyo University of Technology

• Kousaka Takuji

  Dept. of Electrical and Electronic Engineering, Chukyo University

抄録

This paper explains a bifurcation parameter detection strategy based on particle swarm optimization (PSO), and it shows application examples on detection of local bifurcation parameters appearing in discrete-time dynamical systems and non-autonomous continuous dynamical systems. The algorithm design and analysis part shows that the PSO-based algorithm is fairly simple, easily understandable, and easily implementable. The method requires no careful initialization, exact calculation, gradient information of the system, or Lyapunov exponents. However, the simulation results show that the method accurately detects the local bifurcation parameters regardless of the stability of the periodic point.

収録刊行物

• Nonlinear Theory and Its Applications, IEICE

  Nonlinear Theory and Its Applications, IEICE 11 (4), 391-408, 2020

  一般社団法人 電子情報通信学会

キーワード

• bifurcation point detection
• bifurcation diagram
• initial setup problem
• particle swarm optimization (PSO)

詳細情報

• CRID: 1390848647560772096
• NII論文ID: 130007921334
• DOI: 10.1587/nolta.11.391
• ISSN: 21854106
• Web Site: https://www.jstage.jst.go.jp/article/nolta/11/4/11_391/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可