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arXiv · 2202.00152

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

Bogdan Batko
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Abstract

A recent generalization of the Conley index to discrete multivalued dynamical systems without a continuous selector is motivated by applications to data-driven dynamics. In the present paper we continue the program by studying attractor-repeller pairs and Morse decompositions in this setting. In particular, we prove Morse equation and Morse inequalities.

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Bogdan Batko. 2022-01-31. The Morse equation in the Conley index theory for discrete multivalued dynamical systems. https://arxiv.org/abs/2202.00152

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