Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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MPI Kolloquium

Wednesday, 20.07.2011 16 c.t.

Finite Time Dynamics

by Prof. Dr. Leonid Bunimovich
from Georgia Tech, USA

Contact person: Marc Timme

Location

Am Faßberg, Ludwig-Prandtl-Saal

Abstract

In dealing with nonlinear dynamics people are used to its complexity and ask questions only on the asymptotic in time properties. Answers to these questions occur to be still very difficult to obtain. In fact, even most of the notions used in nonlinear dynamics (like Lyapunov exponents, decay of correlations, etc) already involve an infinite time limit. I'll demonstrate that one could be more ambitious and some sensible questions on a finite time dynamics could be fairly completely answered. In fact, we even demonstrate new results on finite time evolution of Markov chains, which always were considered as simple approximations of chaotic dynamical systems. A major motivation for this new area of research came from the attempts to dynamically (rather than statically) characterize elements (and links) of networks.

Remarks

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