# Chaos in symmetric phase oscillator networks.

@article{Bick2011ChaosIS, title={Chaos in symmetric phase oscillator networks.}, author={Christian Bick and Marc Timme and Danilo Paulikat and Dirk Rathlev and Peter Ashwin}, journal={Physical review letters}, year={2011}, volume={107 24}, pages={ 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 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…

## 51 Citations

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Even fully deterministic dynamics may be
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In this study we investigate the collective behavior of the generalized Kuramoto model with an external pinning force in which oscillators with positive and negative coupling strengths are…

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