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Antiphase States in Coupled Oscillator Systems

Coupled identical oscillators with resistive couplings are investigated. Various antiphase states are observed. The bifurcation thresholds for the antiphase states of coupled van der Pol oscillators and the unstable modes of these systems at the bifurcation points are explicitly computed. 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.