The control of stochastic complex damped nonlinear systems

Qun He, Yong Xu, Gamal M. Mahmoud, Wei Xu

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The aim of this paper is to continue our investigations by studying complex damped nonlinear systems with random noise. The effect of random phase for these systems is examined. The interested system demonstrates unstable periodic attractors when the intensity of random noise equals zero, and we show that the unstable dynamical behavior will be stabilized as the intensity of random noise properly increases. The phase plot and the time evolution are carried out to confirm the obtained results of Poincaré map analysis and top Lyapunov exponent on the dynamical behavior of stability. Excellent agreement is found between these results.

Original languageEnglish
Pages (from-to)1263-1275
Number of pages13
JournalInternational Journal of Modern Physics C
Volume18
Issue number8
DOIs
StatePublished - Aug 2007

Keywords

  • Complex damped dynamical system
  • Poincaré map analysis
  • Random phase
  • Stabilization
  • Time evolution
  • Top Lyapunov exponent

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