L\'evy noise induced transitions and enhanced stability in a birhythmic van der Pol system
Statistical Mechanics
2019-12-25 v1 Adaptation and Self-Organizing Systems
Biological Physics
Abstract
This work describes the effects of L\'evy noise on a birhythmic van der Pol like oscillator. Numerical simulations demonstrate that the noise induced escapes from an attractor to another are not markedly different from escapes between stable points in an ordinary potential, albeit the attractors are separated by a barrier of a quasi (or pseudo) potential. However, some differences appear, and are more pronounced when the L\'evy distribution index is close to two.
Keywords
Cite
@article{arxiv.1912.11244,
title = {L\'evy noise induced transitions and enhanced stability in a birhythmic van der Pol system},
author = {René Yamapi and Raoul Mbakob Yonkeu and Giovanni Filatrella and Jürgen Kurths},
journal= {arXiv preprint arXiv:1912.11244},
year = {2019}
}