Unpredictability of the asymptotic attractors in phase-coupled oscillators

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

An array of phase-coupled oscillators may exhibit multiple coexisting chaotic and nonchaotic attractors. The system of coupled circle maps is such an example. We demonstrate that it is common for this type of system to exhibit an extreme type of final state sensitivity in both parameter and phase space. Numerical computations reveal that there exist substantial regions of the parameter space where arbitrarily small perturbations in parameters or initial conditions can alter the asymptotic attractor of the system completely. Consequently, asymptotic attractors of the system cannot be predicted reliably for specific parameter values and initial conditions.

Original languageEnglish (US)
Pages (from-to)2902-2908
Number of pages7
JournalPhysical Review E
Volume51
Issue number4
DOIs
StatePublished - 1995
Externally publishedYes

Fingerprint

Coupled Oscillators
Attractor
oscillators
Parameter Space
Initial conditions
Circle Map
Coupled Maps
Small Perturbations
Numerical Computation
Phase Space
Extremes
perturbation
sensitivity
Demonstrate

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Unpredictability of the asymptotic attractors in phase-coupled oscillators. / Lai, Ying-Cheng.

In: Physical Review E, Vol. 51, No. 4, 1995, p. 2902-2908.

Research output: Contribution to journalArticle

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