Lyapunov Exponents of Hybrid Stochastic Heat Equations

Details Lyapunov Exponents of Hybrid Stochastic Heat Equations Lyapunov Exponents of Hybrid Stochastic Heat Equations

2011-11-04

arxiv.org/abs/1111.1229v1

Mathematics

Probability

p19

Scientific paper

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.

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