Volume 84, Number 1, October 2008
Article Number 10002
Number of page(s) 5
Section General
Published online 16 September 2008
EPL, 84 (2008) 10002
DOI: 10.1209/0295-5075/84/10002

Aging transition and disorder-induced coherence in locally coupled oscillators

H. 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 $N\rightarrow \infty $ as $1-p_{c}\propto N^{- \gamma}$, where N is the system size and the exponent $\gamma $ 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.

© EPLA 2008