Pathak, Jaideep; Lu, Zhixin; Hunt, Brian R.; Girvan, Michelle; Ott, Edward Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. (English) Zbl 1390.37138 Chaos 27, No. 12, 121102, 9 p. (2017). MSC: 37M25 37N10 PDFBibTeX XMLCite \textit{J. Pathak} et al., Chaos 27, No. 12, 121102, 9 p. (2017; Zbl 1390.37138) Full Text: DOI arXiv
Shing Lee, Wai; Ott, Edward; Antonsen, Thomas M. Phase and amplitude dynamics in large systems of coupled oscillators: growth heterogeneity, nonlinear frequency shifts, and cluster states. (English) Zbl 1323.34050 Chaos 23, No. 3, 033116, 17 p. (2013). MSC: 34C15 34C60 34D45 PDFBibTeX XMLCite \textit{W. Shing Lee} et al., Chaos 23, No. 3, 033116, 17 p. (2013; Zbl 1323.34050) Full Text: DOI arXiv
Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. Explosions of chaotic sets. (English) Zbl 0959.37042 Physica D 144, No. 1-2, 44-61 (2000). Reviewer: Govindan Rangarajan (Bangalore) MSC: 37G35 37D45 PDFBibTeX XMLCite \textit{C. Robert} et al., Physica D 144, No. 1--2, 44--61 (2000; Zbl 0959.37042) Full Text: DOI
Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. Outer tangency bifurcations of chaotic sets. (English) Zbl 0986.37025 Phys. Rev. Lett. 80, No. 22, 4867-4870 (1998). MSC: 37D45 37M20 PDFBibTeX XMLCite \textit{C. Robert} et al., Phys. Rev. Lett. 80, No. 22, 4867--4870 (1998; Zbl 0986.37025) Full Text: DOI
Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A. Chaotic attractors on a 3-torus, and torus break-up. (English) Zbl 0694.58029 Physica D 39, No. 2-3, 299-314 (1989). MSC: 37D45 PDFBibTeX XMLCite \textit{P. M. Battelino} et al., Physica D 39, No. 2--3, 299--314 (1989; Zbl 0694.58029) Full Text: DOI
Grebogi, Celso; Ott, Edward; Yorke, James A. Attractors on an N-torus: Quasiperiodicity versus chaos. (English) Zbl 0577.58023 Physica D 15, 354-373 (1985). MSC: 37C70 37G99 PDFBibTeX XMLCite \textit{C. Grebogi} et al., Physica D 15, 354--373 (1985; Zbl 0577.58023) Full Text: DOI
Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A. Strange attractors that are not chaotic. (English) Zbl 0588.58036 Physica D 13, 261-268 (1984). Reviewer: G.Osipenko MSC: 37C70 34C15 37D45 37J40 PDFBibTeX XMLCite \textit{C. Grebogi} et al., Physica D 13, 261--268 (1984; Zbl 0588.58036) Full Text: DOI
Grebogi, Celso; Ott, Edward; Yorke, James A. Crises, sudden changes in chaotic attractors, and transient chaos. (English) Zbl 0561.58029 Order in chaos, Proc. int. Conf., Los Alamos/N.M. 1982, Physica 7D, 181-200 (1983). Reviewer: G.Keller MSC: 37D45 37A99 37C70 PDFBibTeX XML Full Text: DOI
Ott, Edward Strange attractors and chaotic motions of dynamical systems. (English) Zbl 1114.37303 Rev. Mod. Phys. 53, No. 4, 655-671 (1981). MSC: 37D45 PDFBibTeX XMLCite \textit{E. Ott}, Rev. Mod. Phys. 53, No. 4, 655--671 (1981; Zbl 1114.37303) Full Text: DOI