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Scientific and Engineering Applications of Algebraic Topology
IMA Annual Program Year Workshop
Algebraic Topology in Dynamics, Differential Equations, and Experimental Data
February 10-14, 2014

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  Organizers
Sarah DayCollege of William and Mary
Konstantin MischaikowRutgers, The State University of New Jersey
Robertus C. A. M. VandervorstVrije Universiteit, Amsterdam
  Description

Homological quantities provide robust computable invariants of dynamical systems, well-adapted to numerical methods. As a consequence, several groups have been actively implementing algebraic topological invariants to characterize the qualitative behavior of dynamical systems. Examples include tracking patterns of nodal domains, proving the existence of invariant sets in infinite-dimensional systems, and generating forcing theories for invariant sets based on topological indices. Extensions of Morse-theoretic ideas due to Conley (in the finite-dimensional setting) and Floer (in the infinite dimensional cases) are especially relevant and are active foci of current techniques in applied dynamical systems. This workshop will bring together researchers in topological methods with those working in differential equations and the physical sciences.

  Schedule
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