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Antiphase States in Coupled Oscillator Systems |
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| Authors: | HU Gang XIE Fagen QU Zhilin SHI pengliang |
| Affiliation: | 1. Department of Physics, Beijing Normal University, Beijing 100875, China;2. Instituteof Theoretical Physics, Academia Sinica, Beijing 100080, China;3. Departmenotf Medicine (Division of Cardiology), University of California, Los Angeles, California 90095, USA |
| Abstract: | Coupled identical oscillators with resistive couplings are investigated. Various antiphase states are observed. The bifurcation threshojds for the antiphase states of coupled van der Pol oscillators and the unstable modes of these systems at the bifurcation points are explicitly compu ted. The dependence of antiphase states on system size and coupling length is investigated in detail. General coupled limit cycle models are also investigated. The realizations of antiphase states can be explained, based on the global potential analysis. |
| Keywords: | coupled oscillators antiphase state potential analysis |
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