Oscillatory control parameters in nonlinear chaotic systems

Mabruka Mohamed, Eun Jin Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

For a better understanding of the role of control parameters in nonlinear dynamical systems, we examined numerically the effect of the oscillatory control parameter D = C0 cos(ω1t) on the Lorenz model for a dynamo, where C0 and ω1 are the driving amplitude and frequency, respectively. Despite the absence of the mean value of D, finite amplitude solutions are found for sufficiently large C0 and small ω1. Overall, smaller C0 and higher ω1 are less efficient in generating finite amplitude solutions, the bifurcation occurring at a larger value of C0 and a smaller value of ω1. Furthermore, we find a linear relationship between C0 and ω1 for the transition between finite amplitude and damping solutions.

Original languageEnglish
Article number015202
Journal Physica Scripta
Volume89
Issue number1
DOIs
Publication statusPublished - 27 Dec 2013
Externally publishedYes

Keywords

  • amplitude death
  • bifurcations
  • chaotic
  • dynamical systems
  • frequency

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

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