Coarse-graining of transport in non-autonomous systems

Abstract: The decomposition of the state space of a dynamical system into almost invariant sets is important for understanding its essential macroscopic behavior. The concept is reasonably well understood for autonomous dynamical systems, and recently a generalization appeared for non-autonomous systems: coherent sets. Aiming at a unified theory, in this talk we will first present connections between the measure-theoretic autonomous and non-autonomous concepts. We shall do this by considering the augmented state space. Second, we will extend the framework to finite-time systems, and show that it is especially well-suited for manipulating the mixing properties of the dynamics. Third, we will show how this framework can be used to identify the birth and death of coherent sets.

dynamical systems

Audience: researchers in the topic

Bremen Online Dynamics Seminar

Series comments: Talks are approx. 55 min plus discussion. Talks are not recorded.

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