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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