Abstract

A set of simple low-dimensional differential equations representing a chain of coupled oscillators is suggested as a model for explaining the instability of a rigidly rotating spiral wave that has been observed in spatially discrete and continuous models. Bifurcation to an invariant circle on a torus appears to be the mechanism responsible for this instability in the discrete case and is thus in agreement with Barkley's assertion of an instability due to a Hopf bifurcation.

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