Small multiplicative noise makes the positions of two traveling pulse solutions of a FitzHugh-Nagumo type SPDE converge in probability, modulo periodic shifts, on the intermediate time scale σ^{-2} ≪ t ≪ exp(σ^{-2}).
Quasi-Ergodicity of transient patterns in stochastic reaction-diffusion equations
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Synchronization by noise for traveling pulses
Small multiplicative noise makes the positions of two traveling pulse solutions of a FitzHugh-Nagumo type SPDE converge in probability, modulo periodic shifts, on the intermediate time scale σ^{-2} ≪ t ≪ exp(σ^{-2}).