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math.PR2021
Existence, Regularity, and a Strong Itô Formula for the Isochronal Phase of SPDE
Zachary P. Adams
We prove the existence and regularity of the isochron map for stable invariant manifolds of a large class of evolution equations. Our results apply in particular to the isochron ma…
math.PR2021★ 1 cited
The asymptotic frequency of stochastic oscillators
Zachary P. Adams
We study stochastic perturbations of ODE with stable limit cycles -- referred to as stochastic oscillators -- and investigate the response of the asymptotic (in time) frequency of…