Prevalence of Unstable Attractors in Networks of Pulse-Coupled Oscillators
Open Access
- 23 September 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 89 (15) , 154105
- https://doi.org/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 unstable. These unstable attractors occur in networks of pulse-coupled oscillators, and become prevalent with increasing network size for 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.Keywords
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