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

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 kind 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.

10 pages(double column), 12 figures

References in corpus (5)

• Experimental observation of a transition from amplitude to oscillation death in coupled oscillators
• El Nino and the Delayed Action Oscillator
• Synchronization of oscillators coupled through an environment
• Transitions among the diverse oscillation quenching states induced by the interplay of direct and indirect coupling
• Feedback as a mechanism for the resurrection of oscillations from death state

Cited by in corpus (6)

• Basin stability measure of different steady states in coupled oscillators
• Dynamical robustness of network of oscillators
• Amplitude death and resurgence of oscillation in network of mobile oscillators
• Dynamical robustness of complex networks subject to long-range connectivity
• Emergent dynamics in delayed attractive-repulsively coupled networks
• Resurgence of oscillation in coupled oscillators under delayed cyclic interaction