Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems

DOI10.1137/15M1046691zbMath1350.54027arXiv1511.03622OpenAlexW2963907630MaRDI QIDQ3188136

Bogdan Batko, Marian Mrozek

Publication date: 17 August 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03622

zbMATH Keywords

Conley indexisolated invariant setAlexander-Spanier cohomologyindex pairisolating neighbourhooddiscrete multivalued dynamical systemweak index pair

Mathematics Subject Classification ID

Related Items (7)

Persistence of Morse decompositions over grid resolution for maps and time series ⋮ Towards a formal tie between combinatorial and classical vector field dynamics ⋮ \(\alpha\)-limit sets and Lyapunov function for maps with one topological attractor ⋮ Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems. Part II: Properties of the Index ⋮ The Morse equation in the Conley index theory for discrete multivalued dynamical systems ⋮ Linking combinatorial and classical dynamics: Conley index and Morse decompositions ⋮ Conley Index Approach to Sampled Dynamics

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