期刊
NEW JOURNAL OF PHYSICS
卷 23, 期 3, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1367-2630/abe336
关键词
nonlinear dynamics; complex systems; embedding; state space reconstruction
资金
- National Science Foundation (NSF) [CHE-1900011]
- German Research Foundation (DFG) [MA4759/8, MA4759/9]
- Open Access Fund of the Leibniz Association
The proposed method for optimal state space reconstruction from time series combines two promising ideas and uses non-uniform delays to successfully reconstruct systems with different time scales. Unlike established methods, it determines the embedding dimension without using threshold parameters and can handle noisy input by detecting stochastic time series.
We present a fully automated method for the optimal state space reconstruction from univariate and multivariate time series. The proposed methodology generalizes the time delay embedding procedure by unifying two promising ideas in a symbiotic fashion. Using non-uniform delays allows the successful reconstruction of systems inheriting different time scales. In contrast to the established methods, the minimization of an appropriate cost function determines the embedding dimension without using a threshold parameter. Moreover, the method is capable of detecting stochastic time series and, thus, can handle noise contaminated input without adjusting parameters. The superiority of the proposed method is shown on some paradigmatic models and experimental data from chaotic chemical oscillators.
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