期刊
PHYSICAL REVIEW E
卷 79, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.79.036214
关键词
chaos; diffusion; Ginzburg-Landau theory; limit cycles; nonlinear dynamical systems; phase modulation; random processes
资金
- Volkswagen Foundation (Germany)
- MEXT, Japan [19762053]
We demonstrate that diffusively coupled limit-cycle oscillators on random networks can exhibit various complex dynamical patterns. Reducing the system to a network analog of the complex Ginzburg-Landau equation, we argue that uniform oscillations can be linearly unstable with respect to spontaneous phase modulations due to diffusional coupling-the effect corresponding to the Benjamin-Feir instability in continuous media. Numerical investigations under this instability in random scale-free networks reveal a wealth of complex dynamical regimes, including partial amplitude death, clustering, and chaos. A dynamic mean-field theory explaining different kinds of nonlinear dynamics is constructed.
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