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2005.24: Topology from time series

2005.24: M. R. Muldoon, R. S. MacKay, J. P. Huke and D. S. Broomhead (1993) Topology from time series. Physica D, 65 (1-2). pp. 1-16. ISSN 0167-2789

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DOI: 10.1016/0167-2789(92)00026-U

Abstract

We describe methods for the study of topological properties of the invariant manifolds of experimental dynamical systems. We explain how to compute such invariants as the Euler characteristic and Betti numbers using time series data, and suggest a number of potential applications.

Item Type:Article
Uncontrolled Keywords:Chaos, Embedding, time series, topological invariants
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MSC 2000 > 54 General topology
PACS 2003 > 89 Other areas of applied and interdisciplinary physics
MIMS number:2005.24
Deposited By:Dr Mark Muldoon
Deposited On:28 November 2005

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