期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 238, 期 1, 页码 27-37出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2008.08.018
关键词
Coupled oscillators; Oscillator ensembles; Partial synchronization; Quasiperiodicity
资金
- DFG [SFB 555]
We analyze a minimal model of a population of identical oscillators with a nonlinear coupling-a generalization of the popular Kuramoto model. In addition to well-known for the Kuramoto model regimes of full synchrony, full asynchrony, and integrable neutral quasiperiodic states, ensembles of nonlinearly coupled oscillators demonstrate two novel nontrivial types of partially synchronized dynamics: self-organized bunch states and self-organized quasiperiodic dynamics. The analysis based on the Watanabe-Strogatz ansatz allows us to describe the self-organized bunch states in any finite ensemble as a set of equilibria, and the self-organized quasiperiodicity as a two-frequency quasiperiodic regime. An analytic solution in the thermodynamic limit of infinitely many oscillators is also discussed. (C) 2008 Elsevier B.V. All rights reserved.
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