Diverse routes of transition from amplitude to oscillation death in coupled oscillators under additional repulsive links

C. R. Hens, Pinaki Pal, Sourav K. Bhowmick, Prodyot K. Roy, Abhijit Sen, Syamal K. Dana

Research output: Contribution to journalArticlepeer-review

44 Scopus citations

Abstract

We report the existence of diverse routes of transition from amplitude death to oscillation death in three different diffusively coupled systems, which are perturbed by a symmetry breaking repulsive coupling link. For limit-cycle systems the transition is through a pitchfork bifurcation, as has been noted before, but in chaotic systems it can be through a saddle-node or a transcritical bifurcation depending on the nature of the underlying dynamics of the individual systems. The diversity of the routes and their dependence on the complex dynamics of the coupled systems not only broadens our understanding of this important phenomenon but can lead to potentially new practical applications.

Original languageEnglish
Article number032901
JournalPhysical Review E
Volume89
Issue number3
DOIs
StatePublished - 5 Mar 2014
Externally publishedYes

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