论文标题
SPDES系统的Lyapunov指数和噪声同步
Lyapunov exponents and synchronisation by noise for systems of SPDEs
论文作者
论文摘要
证明了随机反应扩散方程系统的顶级Lyapunov指数的定量估计值。该处理包括与简并最小值的反应电位。证明依赖于不变度度量的渐近扩展，并仔细控制了由此产生的误差项。由于这些估计值，首次针对随机反应扩散方程系统推导噪声同步。
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.
