The Morse equation in the Conley index theory for discrete multivalued dynamical systems

DOI10.1007/s10884-022-10136-3arXiv2202.00152OpenAlexW4220776535WikidataQ114225750 ScholiaQ114225750MaRDI QIDQ6132897

Bogdan Batko

Publication date: 17 August 2023

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.00152

zbMATH Keywords

Morse inequalitiesinvariant setattractorConley indexrepellerMorse decompositionMorse equationindex pairisolating neighborhooddiscrete multivalued dynamical systemweak index pair

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Time series analysis of dynamical systems (37M10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30)

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