2 papers
math.PR2017
A variational method for analyzing stochastic limit cycle oscillators
Paul Bressloff, James MacLaurin
We introduce a variational method for analyzing limit cycle oscillators in driven by Gaussian noise. This allows us to derive exact stochastic differential equations…
math.PR2015
A general framework for stochastic traveling waves and patterns, with application to neural field equations
James Inglis, James MacLaurin
In this paper we present a general framework in which to rigorously study the effect of spatio-temporal noise on traveling waves and stationary patterns. In particular the framewor…