Amplitude death by delay induced position coupling in a system of two coupled Van der Pol Oscillators

TL;DR

This paper investigates how delay-induced position coupling in two Van der Pol oscillators can lead to amplitude death, mapping the parameter regions where oscillations cease due to this interaction.

Contribution

It introduces a delay-based position coupling mechanism in coupled Van der Pol oscillators and analyzes its effect on amplitude death regions.

Findings

Delay-induced coupling causes amplitude death in the system.

Amplitude death regions are mapped in the parameter space.

Finite delay in reaction time influences oscillation suppression.

Abstract

We consider a system of two interacting identical Van der Pol Oscillators in a simple harmonic potential well. The position coupling term between the oscillators is such that there is a finite delay, i.e; each system takes a finite time to react to the other one. We investigate the amplitude death in the presence of such interaction and we find out the amplitude death regions in the corresponding parameter space.