Amplitude death and resurgence of oscillation in network of mobile oscillators

TL;DR

This paper investigates how amplitude death occurs and can be revived in a network of mobile oscillators with time-varying interactions, using a model of random walkers with adjustable parameters.

Contribution

It introduces a framework for studying amplitude death and resurgence in mobile oscillator networks with dynamic interactions and feedback control.

Findings

Amplitude death occurs depending on interaction strength, vision range, and movement speed.

Resurgence of oscillations can be achieved through feedback parameters.

Both limit cycle and chaotic oscillators exhibit these phenomena across various parameters.

Abstract

The phenomenon of amplitude death has been explored using a variety of different coupling strategies in the last two decades. In most of the work, the basic coupling arrangement is considered to be static over time, although many realistic systems exhibit significant changes in the interaction pattern as time varies. In this article, we study the emergence of amplitude death in a dynamical network composed of time-varying interaction amidst a collection of random walkers in a finite region of three dimensional space. We consider an oscillator for each walker and demonstrate that depending upon the network parameters and hence the interaction between them, global oscillation in the network gets suppressed. In this framework, vision range of each oscillator decides the number of oscillators with which it interacts. In addition, with the use of an appropriate feedback parameter in the coupling strategy, we articulate how the suppressed oscillation can be resurrected in the systems' parameter space. The phenomenon of amplitude death and the resurgence of oscillation is investigated taking limit cycle and chaotic oscillators for broad ranges of parameters, like interaction strength k between the entities, vision range r and the speed of movement v.