2 papers
math.DS2018
Selection of a Stochastic Landau-Lifshitz Equation and the Stochastic Persistence Problem
Jacky Cresson, Yasmina Kheloufi, Khadra Nachi +1
In this article, we study the persistence of properties of a given classical deter-ministic dierential equation under a stochastic perturbation of two distinct forms: external and…
math-ph2018
A stochastic invariantization method for Itô stochastic perturbations of differential equations
Jacky Cresson, Yasmina Kheloufi, Khadra Nachi
In general, adding a stochastic perturbation to a differential equation possessing an invariant manifold destroys the invariance as far as the Itô formalism is used. In this articl…