Predator-prey model for the self-organisation of stochastic oscillators in dual populations

TL;DR

This paper introduces a predator-prey model for dual populations of stochastic oscillators, demonstrating how cross-coupling induces oscillations and self-regulation, with applications to plasma turbulence dynamics.

Contribution

It presents a novel predator-prey model with linear cross-coupling for stochastic oscillators, linking synchronization phenomena to plasma turbulence behavior.

Findings

Predator-prey oscillations emerge with cross-coupling.

Self-regulation occurs via transfer of synchrony.

Model captures key features of plasma turbulence dynamics.

Abstract

A predator-prey model of dual populations with stochastic oscillators is presented. A linear cross-coupling between the two populations is introduced following the coupling between the motions of a Wilberforce pendulum in two dimensions: one in the longitudinal and the other in torsional plain. Within each population a Kuramoto type competition between the phases is assumed. Thus, the synchronisation state of the whole system is controlled by these two types of competitions. The results of the numerical simulations show that by adding the linear cross-coupling interactions predator-prey oscillations between the two populations appear which results in self-regulation of the system by a transfer of synchrony between the two populations. The model represents several important features of the dynamical interplay between the drift wave and zonal flow turbulence in magnetically confined plasmas, and a novel interpretation of the coupled dynamics of drift wave-zonal flow turbulence using synchronisation of stochastic oscillator is discussed.