Fractional-order state space reconstruction: a new frontier in multivariate complex time series-Reference-Cited by-同舟云学术

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Fractional-order state space reconstruction: a new frontier in multivariate complex time series

Published:2024-08-05 Issue:1 Volume:14 Page:
ISSN:2045-2322
Container-title:Scientific Reports
language:en
Short-container-title:Sci Rep

Author:

Xie Jieren,Xu Guanghua,Chen Xiaobi,Zhang Xun,Chen Ruiquan,Yang Zengyao,Fang Churui,Tian Peiyuan,Wu Qingqiang,Zhang Sicong

Funder

Science and Technology Program of Guangzhou

Supported by Shaanxi Provincial Natural Science Foundation

the Scientific and Technological Innovation 2030

Publisher

Springer Science and Business Media LLC

Link

https://www.nature.com/articles/s41598-024-68693-0.pdf

Reference50 articles.

1. Amigó, J. M. & Rosso, O. A. Ordinal methods: Concepts, applications, new developments, and challenges—In memory of Karsten Keller (1961–2022). Chaos Interdiscipl. J. Nonlinear Sci. 33, 080401 (2023).

2. Kulp, C. W., Zunino, L., Osborne, T. & Zawadzki, B. Using missing ordinal patterns to detect nonlinearity in time series data. Phys. Rev. E 96, 022218 (2017).

3. Yang, Y.-X. & Gao, Z.-K. A multivariate weighted ordinal pattern transition network for characterizing driver fatigue behavior from EEG signals. Int. J. Bifurc. Chaos 30, 2050118 (2020).

4. Young, L.-S. Mathematical theory of Lyapunov exponents. J. Phys. A Math. Theor. 46, 254001 (2013).

5. Ledrappier, F. & Young, L.-S. Stability of Lyapunov exponents. Ergod. Th. Dynam. Syst. 11, 469–484 (1991).

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