Engel, Maximilian and Olicon-Méndez, Guillermo
(2023)
*Noise-induced instabilities in a stochastic Brusselator.*
Preprint to appear in Contemporary Mathematics
.
(In Press)

Full text not available from this repository.

Official URL: https://doi.org/10.48550/arXiv.2305.18021

## Abstract

We consider a stochastic version of the so-called Brusselator - a mathematical model for a two-dimensional chemical reaction network - in which one of its parameters is assumed to vary randomly. It has been suggested via numerical explorations that the system exhibits noise-induced synchronization when time goes to infinity. Complementing this perspective, in this work we explore some of its finite-time features from a random dynamical systems perspective. In particular, we focus on the deviations that orbits of neighboring initial conditions exhibit under the influence of the same noise realization. For this, we explore its local instabilities via finite-time Lyapunov exponents. Furthermore, we present the stochastic Brusselator as a fast-slow system in the case that one of the parameters is much larger than the other one. In this framework, an apparent mechanism for generating the stochastic instabilities is revealed, being associated to the transition between the slow and fast regimes.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences Mathematical and Computer Sciences > Mathematics Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 3068 |

Deposited By: | Jana Jerosch |

Deposited On: | 05 Feb 2024 12:59 |

Last Modified: | 05 Feb 2024 12:59 |

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