Document 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. YangSchool 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.
05.45.-a - Nonlinear dynamics and chaos.
05.45.Xt - Synchronization; coupled oscillators.
© EPLA 2008