Bifurcation phenomena in coupled chemical oscillators: normal form analysis and numerical simulations (Q1088245)

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.