Chaos in Symmetric Phase Oscillator Networks

Details Chaos in Symmetric Phase Oscillator Networks Chaos in Symmetric Phase Oscillator Networks

2011-05-11

arxiv.org/abs/1105.2230v2

Phys. Rev. Lett. 107 (2011) 244101

Nonlinear Sciences

Chaotic Dynamics

4 pages; Accepted by Physical Review Letters

Scientific paper

10.1103/PhysRevLett.107.244101

Phase-coupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronization was so far found to be chaotic only in systems with inhomogeneities. Here we show that even symmetric systems of identical oscillators may not only exhibit chaotic dynamics, but also chaotically fluctuating order parameters. Our findings imply that neither inhomogeneities nor amplitude variations are necessary to obtain chaos, i.e., nonlinear interactions of phases give rise to the necessary instabilities.

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