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Speaker : Kathrin Padberg
Institute of Mathematics,
University of Paderborn, Germany
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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.
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