Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2011-05-11
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.
Ashwin Peter
Bick Christian
Paulikat Danilo
Rathlev Dirk
Timme Marc
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