Chaos in symmetric phase oscillator networks

Christian Bick*, Marc Timme, Danilo Paulikat, Dirk Rathlev, Peter Ashwin

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review


Phase-coupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronization so far has been 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.

Original languageEnglish
Article number244101
JournalPhysical review letters
Issue number24
Publication statusPublished - 9 Dec 2011
Externally publishedYes


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