Simplicial Multivalued Maps and the Witness Complex for Dynamical Analysis of Time Series

DOI10.1137/140971415zbMath1320.37034arXiv1406.2245OpenAlexW2963213081MaRDI QIDQ5266259

Nicole F. Sanderson, Elizabeth Bradley, Zachary Alexander, James D. Meiss

Publication date: 30 July 2015

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

Full work available at URL: https://arxiv.org/abs/1406.2245

zbMATH Keywords

computational topologysimplicial homologyConley indicesHénon chaotic attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Time series analysis of dynamical systems (37M10) Simplicial sets and complexes in algebraic topology (55U10) Numerical chaos (65P20)

Related Items

Persistence of Morse decompositions over grid resolution for maps and time series ⋮ Persistent Homology of Morse Decompositions in Combinatorial Dynamics ⋮ Topological data analysis for true step detection in periodic piecewise constant signals ⋮ Creating semiflows on simplicial complexes from combinatorial vector fields ⋮ Exploring the topology of dynamical reconstructions ⋮ A Lefschetz fixed point theorem for multivalued maps of finite spaces

Uses Software

• CHomP

Cites Work

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