Seminars & Colloquia Calendar
Order Theory in Dynamics
Bill Kalies, Florida Atlantic University
Location: Hill 525
Date & time: Friday, 26 October 2018 at 12:00PM - 1:00PM
Abstract: Recurrent versus gradient-like behavior in global dynamics can be characterized via a surjective lattice homomorphism between certain bounded, distributive lattices, that is, between attracting blocks (or neighborhoods) and attractors. In this lecture we explain the basic order and lattice theory for dynamical systems which lays a foundation for a computational theory for dynamical systems that focuses on Morse decompositions and index lattices. We build combinatorial order-theoretic models for global dynamics. We give computational examples that illustrate the theory for both maps and flows.
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