Suppression and recovery of spatiotemporal chaos in a ring of coupled oscillators with a single inactive siteHiroaki Daido
Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University Sakai 599-8531, Japan
received 4 June 2009; accepted in final form 31 July 2009; published August 2009
published online 31 August 2009
The effect of a single inactive site is studied on spatiotemporal dynamics in a ring of locally coupled Stuart-Landau oscillators. An inactive site is where a damped oscillator is placed instead of an active (i.e. spontaneous) one. It is numerically shown that such a site suppresses spatiotemporal chaos (STC) in some region of a parameter plane. How STC recovers as a parameter is varied is elucidated by introducing some order parameters quantifying the degree of phase-locking and frequency synchronization between each active oscillator and the inactive one.
05.45.Xt - Synchronization; coupled oscillators.
05.45.-a - Nonlinear dynamics and chaos.
© EPLA 2009