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Existence, regularity, and a strong Itô formula for the isochronal phase of SPDE

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Synchronization by noise for traveling pulses

math.PR · 2025-01-23 · conditional · novelty 7.0

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}).

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  • Synchronization by noise for traveling pulses math.PR · 2025-01-23 · conditional · none · ref 1

    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}).