Bifurcation phenomena in coupled chemical oscillators: Normal form analysis and numerical simulations

Xiao-Jing Wang, G. Nicolis

Research output: Contribution to journalArticle

Abstract

A class of diffusively coupled chemical oscillators is mapped into a problem of two interacting Hopf bifurcations. The normal form analysis predicts a cascade of steady state → limit cycle → 2-torus → 3-torus bifurcations, as well as the coexistence of two stable limit cycles. Numerical simulations of the original system confirm these predictions, and in particular, show that this system provides an example of bifurcation leading to a stable quasiperiodic regime with three incommensurate frequencies.

Original languageEnglish (US)
Pages (from-to)140-155
Number of pages16
JournalPhysica D: Nonlinear Phenomena
Volume26
Issue number1-3
DOIs
StatePublished - 1987

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Hopf bifurcation
Limit Cycle
Normal Form
Torus
Bifurcation
oscillators
Numerical Simulation
cycles
Computer simulation
Coexistence
Hopf Bifurcation
Cascade
cascades
simulation
Predict
Prediction
predictions
Class

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Bifurcation phenomena in coupled chemical oscillators : Normal form analysis and numerical simulations. / Wang, Xiao-Jing; Nicolis, G.

In: Physica D: Nonlinear Phenomena, Vol. 26, No. 1-3, 1987, p. 140-155.

Research output: Contribution to journalArticle

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