LYAPUNOV EXPONENTS AND SYNCHRONISATION BY NOISE FOR SYSTEMS OF SPDES

被引：0
|
作者：
Gess, Benjamin [1 ]
Tsatsoulis, Pavlos [1 ]
机构：
[1] Univ Bielefeld, Fak Math, Bielefeld, Germany
来源：
ANNALS OF PROBABILITY | 2024年 / 52卷 / 05期
关键词：
Systems of stochastic reaction-diffusion equations; Lyapunov exponents; synchronisation by noise; SMALL RANDOM PERTURBATIONS; DYNAMICAL-SYSTEMS; RANDOM ATTRACTORS; MONTE-CARLO; FLUCTUATIONS; MODEL; EQUATIONS; TIME;
D O I：
10.1214/24-AOP1690
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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.
引用
收藏
页码：1903 / 1953
页数：51
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