期刊
CHAOS
卷 21, 期 1, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3563579
关键词
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资金
- DFG Research Center Matheon
- DFG [WO 891/3-1]
Chimera states are particular trajectories in systems of phase oscillators with nonlocal coupling that display a spatiotemporal pattern of coherent and incoherent motion. We present here a detailed analysis of the spectral properties for such trajectories. First, we study numerically their Lyapunov spectrum and its behavior for an increasing number of oscillators. The spectra demonstrate the hyperchaotic nature of the chimera states and show a correspondence of the Lyapunov dimension with the number of incoherent oscillators. Then, we pass to the thermodynamic limit equation and present an analytic approach to the spectrum of a corresponding linearized evolution operator. We show that, in this setting, the chimera state is neutrally stable and that the continuous spectrum coincides with the limit of the hyperchaotic Lyapunov spectrum obtained for the finite size systems. (C) 2011 American Institute of Physics. [doi:10.1063/1.3563579]
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