Prevalence of unstable attractors in networks of pulse-coupled oscillators
arXiv:cond-mat/0202438 · doi:10.1103/PhysRevLett.89.154105
Abstract
We present and analyze the first example of a dynamical system that naturally exhibits attracting periodic orbits that are \textit{unstable}. These unstable attractors occur in networks of pulse-coupled oscillators where they prevail for large networks and a wide range of parameters. They are enclosed by basins of attraction of other attractors but are remote from their own basin volume such that arbitrarily small noise leads to a switching among attractors.
5 pages, 3 figures
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