Taming chaotic arrays by parametric excitation with proper random phase

Kai Leung Yung, Youming Lei, Yan Xu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

Abstract

A weak harmonic parametric excitation with random phase has been introduced to tame chaotic arrays. It has been shown that when the amplitude of random phase properly increases, two different kinds of chaotic arrays, unsynchronized and synchronized, can be controlled by the criterion of top Lyapunov exponent. The Lyapunov exponent was computed based on Khasminskii's formulation and the extension of Wedig's algorithm for linear stochastic systems. In particular, it was found that with stronger coupling the synchronized chaotic arrays are more controllable than the unsynchronized ones. The bifurcation analysis, the spatiotemporal evolution, and the Poincaré map were carried out to confirm the results of the top Lyapunov exponent on the dynamical behavior of control stability. Excellent agreement was found between these results.
Original languageEnglish
Pages (from-to)1633-1643
Number of pages11
JournalInternational Journal of Modern Physics C
Volume20
Issue number10
DOIs
Publication statusPublished - 1 Oct 2009

Keywords

  • Chaos control
  • Chaotic arrays
  • Lyapunov exponent
  • Random phase

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Theory and Mathematics

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