%0 Journal Article
%T Lyapunov Exponents of Hybrid Stochastic Heat Equations
%A Jianhai Bao
%A Xuerong Mao
%A Chenggui Yuan
%J Mathematics
%D 2011
%I arXiv
%X In this paper, we investigate a class of hybrid stochastic heat equations. By explicit formulae of solutions, we not only reveal the sample Lyapunov exponents but also discuss the $p$th moment Lyapnov exponents. Moreover, several examples are established to demonstrate that unstable (deterministic or stochastic) dynamical systems can be stabilized by Markovian switching.
%U http://arxiv.org/abs/1111.1229v1