Self-organized stable pacemakers near the onset of birhythmicity

Details Self-organized stable pacemakers near the onset of birhythmicity Self-organized stable pacemakers near the onset of birhythmicity

2000-11-16

arxiv.org/abs/nlin/0011033v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.86.4406

General amplitude equations for reaction-diffusion systems near to the soft onset of birhythmicity described by a supercritical pitchfork-Hopf bifurcation are derived. Using these equations and applying singular perturbation theory, we show that stable autonomous pacemakers represent a generic kind of spatiotemporal patterns in such systems. This is verified by numerical simulations, which also show the existence of breathing and swinging pacemaker solutions. The drift of self-organized pacemakers in media with spatial parameter gradients is analytically and numerically investigated.

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