Oscillation death in diffusively coupled oscillators by local repulsive link

C. R. Hens, Olasunkanmi I. Olusola, Pinaki Pal, Syamal K. Dana

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94 Scopus citations

Abstract

A death of oscillation is reported in a network of coupled synchronized oscillators in the presence of additional repulsive coupling. The repulsive link evolves as an averaging effect of mutual interaction between two neighboring oscillators due to a local fault and the number of repulsive links grows in time when the death scenario emerges. Analytical condition for oscillation death is derived for two coupled Landau-Stuart systems. Numerical results also confirm oscillation death in chaotic systems such as a Sprott system and the Rössler oscillator. We explore the effect in large networks of globally coupled oscillators and find that the number of repulsive links is always fewer than the size of the network.

Original languageEnglish
Article number034902
JournalPhysical Review E
Volume88
Issue number3
DOIs
StatePublished - 16 Sep 2013
Externally publishedYes

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