Issue
EPL
Volume 82, Number 4, May 2008
Article Number 40001
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/82/40001
Published online 25 April 2008
EPL, 82 (2008) 40001
DOI: 10.1209/0295-5075/82/40001

A study of phase death states in a coupled system with stable equilibria

Y. Zhu, X. Qian and J. Yang

School of Science, Beijing University of Posts and Telecommunications - Beijing, 100876, PRC

jzyang@bupt.edu.cn

received 6 December 2007; accepted in final form 25 March 2008; published May 2008
published online 25 April 2008

Abstract
The phenomenon of phase death in coupled multistable oscillators which have stable equilibria as one of their attractors when isolated is investigated. We find that the phase death state can be induced by the coupling interaction which may have the attraction basin of the existing stable equilibria expanded. The mechanism for the onset of the phase death is proposed. The phase death is further classified into complete and incomplete phase deaths depending on whether the arbitrary initial condition can lead the coupled system to the phase death state.

PACS
05.45.-a - Nonlinear dynamics and chaos.
05.45.Xt - Synchronization; coupled oscillators.

© EPLA 2008