Výsledky vyhledávání - "Weilandt, Frank"

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The Conley index for discrete dynamical systems and the mapping torus

Autor: Weilandt, Frank

The Conley index for flows is a topological invariant describing the behavior around an isolated invariant set $S$. It is defined as the homotopy type of a quotient space $N/L$, where $(N,L)$ is an index pair for $S$. In the case of a discrete dynami

Externí odkaz: http://arxiv.org/abs/1801.06403

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Discretization strategies for computing Conley indices and Morse decompositions of flows

Autor: Mischaikow, Konstantin, Mrozek, Marian, Weilandt, Frank

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 discretization of the flow using interval arithmetic. We compare the old i

Externí odkaz: http://arxiv.org/abs/1511.04426

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