Restoration of oscillation in network of oscillators in presence of direct and indirect interactions

Soumen Majhi, Bidesh K. Bera, Sourav K. Bhowmick, Dibakar Ghosh

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

The suppression of oscillations in coupled systems may lead to several unwanted situations, which requires a suitable treatment to overcome the suppression. In this paper, we show that the environmental coupling in the presence of direct interaction, which can suppress oscillation even in a network of identical oscillators, can be modified by introducing a feedback factor in the coupling scheme in order to restore the oscillation. We inspect how the introduction of the feedback factor helps to resurrect oscillation from various kinds of death states. We numerically verify the resurrection of oscillations for two paradigmatic limit cycle systems, namely Landau–Stuart and Van der Pol oscillators and also in generic chaotic Lorenz oscillator. We also study the effect of parameter mismatch in the process of restoring oscillation for coupled oscillators.

Original languageEnglish
Pages (from-to)3617-3624
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume380
Issue number43
DOIs
StatePublished - 23 Oct 2016
Externally publishedYes

Keywords

  • Amplitude death
  • Environment coupling
  • Feedback parameter
  • Oscillation death
  • Revival of oscillation

Fingerprint

Dive into the research topics of 'Restoration of oscillation in network of oscillators in presence of direct and indirect interactions'. Together they form a unique fingerprint.

Cite this