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math.DS2018
The Conley index for discrete dynamical systems and the mapping torus
Frank Weilandt
The Conley index for flows is a topological invariant describing the behavior around an isolated invariant set . It is defined as the homotopy type of a quotient space , wh…
math.DS2015
Discretization strategies for computing Conley indices and Morse decompositions of flows
Konstantin Mischaikow, Marian Mrozek, Frank Weilandt
Conley indices and Morse decompositions of flows can be found by using algorithms which rigorously analyze discrete dynamical systems. This usually involves integrating a time disc…