Lyapunov exponents and synchronisation by noise for systems of SPDEs
Probability
2022-07-21 v1 Analysis of PDEs
Dynamical Systems
Abstract
Quantitative estimates for the top Lyapunov exponents for systems of stochastic reaction-diffusion equations are proven. The treatment includes reaction potentials with degenerate minima. The proof relies on an asymptotic expansion of the invariant measure, with careful control on the resulting error terms. As a consequence of these estimates, synchronisation by noise is deduced for systems of stochastic reaction-diffusion equations for the first time.
Keywords
Cite
@article{arxiv.2207.09820,
title = {Lyapunov exponents and synchronisation by noise for systems of SPDEs},
author = {B. Gess and P. Tsatsoulis},
journal= {arXiv preprint arXiv:2207.09820},
year = {2022}
}