Recovering the attractor: A review of chaotic time-series analysis
- 1 September 1990
- journal article
- review article
- Published by Canadian Science Publishing in Canadian Journal of Physics
- Vol. 68 (9) , 711-718
- https://doi.org/10.1139/p90-101
Abstract
Previous applications of chaotic time-series analysis have focussed on either abstract model systems or experimental systems with unknown or poorly understood equations of motion. We present an analysis of experimental time series obtained from a driven nonlinear pendulum with accurately known governing equations. The method of delays provided faithful attractor recoveries in both periodic and chaotic states, showing that high-quality recoveries are possible from experimental time series. Methods for determining the time series' embedding dimension and delay time are also reviewed.Keywords
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