期刊
PHYSICAL REVIEW E
卷 90, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.90.042911
关键词
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资金
- Deutsche Forschungsgemeinschaft [KR1189/12-1]
- Institute for Advanced Study, Technische Universitat Munchen - German Excellence Initiative
- cluster of excellence Nanosystems Initiative Munich (NIM)
We study two-cluster solutions of an ensemble of generic limit-cycle oscillators in the vicinity of a Hopf bifurcation, i.e., Stuart-Landau oscillators, with a nonlinear global coupling. This coupling leads to conserved mean-field oscillations acting back on the individual oscillators as a forcing. A reduction to two effective equations makes a linear stability analysis of the cluster solutions possible. These equations exhibit a p-rotational symmetry, leading to a complex bifurcation structure and a wide variety of solutions. In fact, the principal bifurcation structure resembles that of a 2: 1 resonance tongue, while inside the tongue we observe an 1: 1 entrainment.
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