Transition from amplitude to oscillation death under mean-field diffusive coupling
arXiv:1403.2907 · doi:10.1103/PhysRevE.89.052912
Abstract
We study the transition from amplitude death (AD) to oscillation death (OD) state in limit-cycle oscillators coupled through mean-field diffusion. We show that this coupling scheme can induce an important transition from AD to OD even in {\it identical} limit cycle oscillators. We identify a parameter region where OD and a novel {\it nontrivial} AD (NT-AD) state coexist. This NT-AD state is unique in comparison with AD owing to the fact that it is created by a subcritical pitchfork bifurcation, and parameter mismatch does not support but destroy this state. We extend our study to a network of mean-field coupled oscillators to show that the transition scenario preserves and the oscillators form a two cluster state.
5 pages, 5 figures, Final accepted version in Phys.Rev.E (minor language correction)
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