# Self-organisation of stochastic oscillators in a predator-prey model

**Sara Moradi** ;

**Johan Anderson
** (Institutionen för rymd- och geovetenskap, Plasmafysik och fusionsenergi)
**The 9th Chaotic Modeling and Simulation International Conference (CHAOS2016)** Vol. 9 (2016),

[Konferensbidrag, refereegranskat]

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 synchronization 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 synchronization of stochastic oscillator is discussed.

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**Harvard**

Moradi, S. och Anderson, J. (2016) *Self-organisation of stochastic oscillators in a predator-prey model *.

** BibTeX **

@conference{

Moradi2016,

author={Moradi, Sara and Anderson, Johan},

title={Self-organisation of stochastic oscillators in a predator-prey model },

booktitle={The 9th Chaotic Modeling and Simulation International Conference (CHAOS2016)},

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 synchronization 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 synchronization of stochastic oscillator is discussed.},

year={2016},

}

** RefWorks **

RT Conference Proceedings

SR Electronic

ID 236932

A1 Moradi, Sara

A1 Anderson, Johan

T1 Self-organisation of stochastic oscillators in a predator-prey model

YR 2016

T2 The 9th Chaotic Modeling and Simulation International Conference (CHAOS2016)

AB 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 synchronization 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 synchronization of stochastic oscillator is discussed.

LA eng

LK http://www.cmsim.org/

OL 30

Denna post skapades 2016-05-26. Senast ändrad 2016-10-18.

CPL Pubid: 236932