Towards a Theory of Random Numerical Dynamics

Peter E. Kloeden, Hannes Keller and Björn Schmalfuß

Chapter 11 in Stochastic Dynamics, 1999, pp 259-282 from Springer

Abstract: Abstract Random dynamical systems are intrinsically nonautonomous and are formulated in terms of cocycles rather than semigroups. They consequently require generalizations of the commonly used dynamical systems concepts such as attractors and invariance of sets. This cocycle formalism is reviewed here and then the approximation of such dynamical behaviour by time discretized numerical schemes is discussed, outlining results that have been obtained and those that remain to be resolved.

Keywords: Lyapunov Exponent; Unstable Manifold; Global Attractor; Exponential Dichotomy; Random Dynamical System (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-22655-2_11

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DOI: 10.1007/0-387-22655-9_11

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