Weng, Tongfeng; Yang, Huijie; Zhang, Jie; Small, Michael Modeling chaotic systems: dynamical equations vs machine learning approach. (English) Zbl 1502.37086 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106452, 7 p. (2022). MSC: 37M05 37N30 68T05 68T09 68T20 PDFBibTeX XMLCite \textit{T. Weng} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106452, 7 p. (2022; Zbl 1502.37086) Full Text: DOI
Huang, Min; Sun, Zhongkui; Donner, Reik V.; Zhang, Jie; Guan, Shuguang; Zou, Yong Characterizing dynamical transitions by statistical complexity measures based on ordinal pattern transition networks. (English) Zbl 1459.37071 Chaos 31, No. 3, 033127, 18 p. (2021). MSC: 37M10 PDFBibTeX XMLCite \textit{M. Huang} et al., Chaos 31, No. 3, 033127, 18 p. (2021; Zbl 1459.37071) Full Text: DOI
Xu, Xiaoke; Zhang, Jie; Small, Michael Superfamily phenomena and motifs of networks induced from time series. (English) Zbl 1202.37118 Proc. Natl. Acad. Sci. USA 105, No. 50, 19601-19605 (2008). MSC: 37M10 37D45 PDFBibTeX XMLCite \textit{X. Xu} et al., Proc. Natl. Acad. Sci. USA 105, No. 50, 19601--19605 (2008; Zbl 1202.37118) Full Text: DOI
Zhang, Jie; Sun, Junfeng; Luo, Xiaodong; Zhang, Kai; Nakamura, Tomomichi; Small, Michael Characterizing pseudoperiodic time series through the complex network approach. (English) Zbl 1153.37447 Physica D 237, No. 22, 2856-2865 (2008). MSC: 37M10 37D45 PDFBibTeX XMLCite \textit{J. Zhang} et al., Physica D 237, No. 22, 2856--2865 (2008; Zbl 1153.37447) Full Text: DOI
Zhang, Jie; Small, Michael; Zhang, Kai Chaos inducement and enhancement in two particular nonlinear maps using weak periodic/quasiperiodic perturbations. (English) Zbl 1185.37091 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 5, 1585-1598 (2006). MSC: 37D45 PDFBibTeX XMLCite \textit{J. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 5, 1585--1598 (2006; Zbl 1185.37091) Full Text: DOI