Stochastic Dynamical Systems in Infinite Dimensions

Salah-Eldin A. Mohammed, Southern Illinois University Carbondale

Preprint 03 (2007), Mittag-Leffler Preprints Series 2007, to appear in Trends in Stochastic Analysis, edited by Jochen Blath, Peter Mörters and Michael Scheutzow, London Mathematical Society Lecture Note Series, © Cambridge University Press.

Abstract

We study the local behavior of infinite-dimensional stochastic semiflows near hyperbolic equilibria. The semiflows are generated by stochastic differential systems with finite memory, stochastic evolution equations and semilinear stochastic partial differential equations.

Discipline(s)

Dynamics/Dynamical Systems | Mathematics