Aging transition and disorder-induced coherence in locally coupled oscillatorsH. Daido
Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University Sakai 599-8531, Japan
received 24 May 2008; accepted in final form 13 August 2008; published October 2008
published online 16 September 2008
Aging transition (AT) is studied for a ring of locally coupled Suart-Landau oscillators such that a fraction of them chosen randomly is inactivated. An AT is a transition to a steady state observed when the ratio of inactive oscillators p exceeds a critical value pc. It is numerically shown that such a transition disappears for as , where N is the system size and the exponent depends on parameters. Moreover, it is found that the phase coherence of the system can improve by aging-induced disorder.
05.45.Xt - Synchronization; coupled oscillators.
87.10.-e - General theory and mathematical aspects.
05.45.-a - Nonlinear dynamics and chaos.
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