A study of phase death states in a coupled system with stable equilibriaY. Zhu, X. Qian and J. Yang
School of Science, Beijing University of Posts and Telecommunications - Beijing, 100876, PRC
received 6 December 2007; accepted in final form 25 March 2008; published May 2008
published online 25 April 2008
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