Conley Index Approach to Sampled Dynamics

DOI10.1137/19M1254404zbMath1442.37088arXiv1904.03757MaRDI QIDQ4961115

Marian Mrozek, Konstantin Mischaikow, Mateusz Przybylski, Bogdan Batko

Publication date: 21 April 2020

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

Full work available at URL: https://arxiv.org/abs/1904.03757

zbMATH Keywords

chaosinvariant setfixed pointnonlinear dynamicsperiodic orbitConley indextopological data analysisindex pairisolating neighborhoodtopological semiconjugacyweak index pair

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Time series analysis of dynamical systems (37M10) Simulation of dynamical systems (37M05) 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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