Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise
Analysis of PDEs
2019-08-14 v2
Abstract
The longtime and global pullback dynamics of stochastic Hindmarsh-Rose equations with multiplicative noise on a three-dimensional bounded domain in neurodynamics is investigated in this work. The existence of a random attractor for this random dynamical system is proved through the exponential transformation and uniform estimates showing the pullback absorbing property and the pullback asymptotically compactness of this cocycle in the Hilbert space.
Cite
@article{arxiv.1908.01220,
title = {Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise},
author = {Chi Phan},
journal= {arXiv preprint arXiv:1908.01220},
year = {2019}
}