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We investigate amplitude death in a regular array of nonlinear oscillators. We find that the system undergoes three transitions during the road to complete amplitude death. The first two are related to partial amplitude death: one induces partial amplitude death and the other enhances it. The last transition establishes complete amplitude death. We also find that the first two belong to a second-order transition and are universal while the last one is strongly dependent on the system parameters.
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Junzhong Yang (2007) studied this question.
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