Bifurcation phenomena in coupled chemical oscillators: normal form analysis and numerical simulations
type: Item
instance of: scholarly article
title: Bifurcation phenomena in coupled chemical oscillators: normal form analysis and numerical simulations
zbMATH Open document ID: 0612.58033
DOI: 10.1016/0167-2789(87)90218-1
author: B. George
published in: Physica D
publication date: 1987-01-01T00:00:00Z
review text: 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 \(\to\) limit cycle \(\to\) 2-torus \(\to\) 3-torus bifurcations, as well as the coexistence of two stable limit cycles. Numerical simulations on 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.
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 92Exx
Mathematics Subject Classification ID: 65C99
zbMATH DE Number: 3990453
zbMATH Keywords: chemical oscillators
zbMATH Keywords: Hopf bifurcations
zbMATH Keywords: cascade of steady state
zbMATH Keywords: limit cycle
MaRDI profile type: Publication
full work available at URL: 0167-2789(87)90218-1
OpenAlex ID: W2053313131
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description: scientific article; zbMATH DE number 3990453