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Speaker : Kathrin Padberg

Institute of Mathematics, University of Paderborn, Germany

Title: Lyapunov exponents, invariant manifolds and transport

Abstract:

In dynamical systems theory, Lyapunov exponents are a measure of the chaoticity of an attractor. In practice, however, one has to deal with finite time approximations of this asymptotic quantity. Finite time Lyapunov exponents (FTLE) can vary considerably over an attractor, accounting for regions of higher or lower predictability. An important observation in this context is that FTLEs take local maxima in the vicinity of hyperbolic periodic points and their stable manifolds. In this talk we show how these ideas can be used for the numerical analysis of dynamical systems within a set oriented approach.