Otto, Samuel E.; Rowley, Clarence W. Inadequacy of linear methods for minimal sensor placement and feature selection in nonlinear systems: a new approach using secants. (English) Zbl 07570751 J. Nonlinear Sci. 32, No. 5, Paper No. 69, 51 p. (2022). MSC: 62-XX 49-XX 90-XX PDFBibTeX XMLCite \textit{S. E. Otto} and \textit{C. W. Rowley}, J. Nonlinear Sci. 32, No. 5, Paper No. 69, 51 p. (2022; Zbl 07570751) Full Text: DOI arXiv
Giannakis, Dimitrios; Ourmazd, Abbas; Slawinska, Joanna; Zhao, Zhizhen Spatiotemporal pattern extraction by spectral analysis of vector-valued observables. (English) Zbl 1428.37084 J. Nonlinear Sci. 29, No. 5, 2385-2445 (2019); correction ibid. 30, No. 2, 711 (2020). Reviewer: Mohammad Sajid (Buraidah) MSC: 37M25 28B05 37M10 47B34 PDFBibTeX XMLCite \textit{D. Giannakis} et al., J. Nonlinear Sci. 29, No. 5, 2385--2445 (2019; Zbl 1428.37084) Full Text: DOI arXiv
Harlim, John; Yang, Haizhao Diffusion forecasting model with basis functions from QR-decomposition. (English) Zbl 1490.62290 J. Nonlinear Sci. 28, No. 3, 847-872 (2018). MSC: 62M20 35Q84 62G07 PDFBibTeX XMLCite \textit{J. Harlim} and \textit{H. Yang}, J. Nonlinear Sci. 28, No. 3, 847--872 (2018; Zbl 1490.62290) Full Text: DOI arXiv
Williams, Matthew O.; Kevrekidis, Ioannis G.; Rowley, Clarence W. A data-driven approximation of the koopman operator: extending dynamic mode decomposition. (English) Zbl 1329.65310 J. Nonlinear Sci. 25, No. 6, 1307-1346 (2015). MSC: 65P99 37M25 37H10 47B33 PDFBibTeX XMLCite \textit{M. O. Williams} et al., J. Nonlinear Sci. 25, No. 6, 1307--1346 (2015; Zbl 1329.65310) Full Text: DOI arXiv
Kuptsov, Pavel V.; Parlitz, Ulrich Theory and computation of covariant Lyapunov vectors. (English) Zbl 1301.37065 J. Nonlinear Sci. 22, No. 5, 727-762 (2012). MSC: 37M25 37B25 PDFBibTeX XMLCite \textit{P. V. Kuptsov} and \textit{U. Parlitz}, J. Nonlinear Sci. 22, No. 5, 727--762 (2012; Zbl 1301.37065) Full Text: DOI arXiv
Kolokolnikov, T.; Ward, M. J.; Wei, J. Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain. (English) Zbl 1178.35039 J. Nonlinear Sci. 19, No. 1, 1-56 (2009). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K57 92E20 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., J. Nonlinear Sci. 19, No. 1, 1--56 (2009; Zbl 1178.35039) Full Text: DOI Link