Muldoon, M. R. and MacKay, R. S. and Huke, J. P. and Broomhead, D. S. (1993) Topology from time series. Physica D, 65 (1-2). pp. 1-16. ISSN 0167-2789
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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 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 54 General topology PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 80 INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY > 89 Other areas of applied and interdisciplinary physics |
| Depositing User: | Dr Mark Muldoon |
| Date Deposited: | 28 Nov 2005 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/73 |
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