Antiphase dynamics in globally coupled optical systems are investigated numerically in the model of intracavity second-harmonic generation in multimode lasers. Clustering, grouping of antiphase motions, and selfinduced chaotic switching among a factorial number of coexisting grouping states, leading to antiphase periodic states, are found to occur when a pump parameter is increased. Dynamical characterization of grouping behavior and self-induced switching is carried out by global intensity circulation analysis. Nonreciprocal independence of intensity flow in grouping states and switching-path formation process among coexisting grouping states are presented. The controlled switching-path formation between different periodic grouping states by perturbation-pulse injections is demonstrated.
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