期刊
PHYSICAL REVIEW RESEARCH
卷 3, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.3.023144
关键词
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资金
- Deutsche Forschungsgemeinschaft through its Major Research Instrumentation Programs [INST 184/157-1 FUGG]
- Ministry of Science and Culture (MWK) of the Lower Saxony state
- Volkswagen Foundation [88459]
- Deutsche Forschungsgemeinschaft [FOR 2716, FE 359-20]
The study reports the observation of a nontrivial emergent state in a chain of nonidentical, heterogeneously coupled oscillators where a set of weakly coupled oscillators becomes phase synchronized while the strongly coupled ones remain drifting. This weak-winner synchronization phenomenon can occur for limit cycles as well as chaotic oscillators, and is a generic feature for a large class of coupled oscillator systems. The results highlight the role of nonisochronicity as a fundamental feature in shaping emergent dynamical patterns in complex networks.
We report the observation of a nontrivial emergent state in a chain of nonidentical, heterogeneously coupled oscillators where a set of weakly coupled oscillators becomes phase synchronized while the strongly coupled ones remain drifting. This intriguing weak-winner synchronization phenomenon can be explained by the interplay between nonisochronicity and the natural frequency of the oscillator, as coupling strength is varied. Furthermore, we present sufficient conditions under which the weak-winner phase synchronization can occur for limit cycles as well as chaotic oscillators. Employing a model system from ecology as well as a paradigmatic model from physics, we demonstrate that this phenomenon is a generic feature for a large class of coupled oscillator systems. The realization of this peculiar, yet quite generic weak-winner dynamics can have far-reaching consequences in a wide range of scientific disciplines that deal with the phenomenon of phase synchronization, including synchronization of networks. Our results also highlight the role of nonisochronicity (shear) as a fundamental feature of an oscillator in shaping emergent dynamical patterns in complex networks.
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