150519 20260217205536.0 doi 10.1016/j.physd.2024.134510 sideral 142580 ART-2024-142580 eng Mayora-Cebollero, Carmen Universidad de Zaragoza (orcid)0000-0002-3431-0926 Full Lyapunov exponents spectrum with Deep Learning from single-variable time series 2024 Access copy available to the general public Unrestricted In this article we study if a Deep Learning technique can be used to obtain an approximate value of the Lyapunov exponents of a dynamical system. Moreover, we want to know if Machine Learning techniques are able, once trained, to provide the full Lyapunov exponents spectrum with just single-variable time series. We train a Convolutional Neural Network and use the resulting network to approximate the full spectrum using the time series of just one variable from the studied systems (Lorenz system and coupled Lorenz system). The results are quite surprising since all the values are well approximated with only partial data. This strategy allows to speed up the complete analysis of the systems and also to study the hyperchaotic dynamics in the coupled Lorenz system. info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00 info:eu-repo/grantAgreement/ES/DGA/E22-23R info:eu-repo/grantAgreement/ES/DGA/E24-23R info:eu-repo/grantAgreement/ES/DGA/LMP94_21 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 2.9 2024 MATHEMATICS, APPLIED 22 / 344 = 0.064 2024 Q1 T1 PHYSICS, FLUIDS & PLASMAS 9 / 41 = 0.22 2024 Q1 T1 PHYSICS, MATHEMATICAL 8 / 61 = 0.131 2024 Q1 T1 PHYSICS, MULTIDISCIPLINARY 35 / 114 = 0.307 2024 Q2 T1 0.94 2024 Applied Mathematics 2024 Q1 Condensed Matter Physics 2024 Q1 Mathematical Physics 2024 Q1 Statistical and Nonlinear Physics 2024 Q2 4.6 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mayora-Cebollero, Ana Universidad de Zaragoza (orcid)0000-0002-4802-2511 Lozano, Álvaro Universidad de Zaragoza (orcid)0000-0002-1184-5901 Barrio, Roberto Universidad de Zaragoza (orcid)0000-0002-8089-343X 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 472 (2024), 134510 [17 pp.] Physica, D PHYSICA D-NONLINEAR PHENOMENA 0167-2789 7770874 http://zaguan.unizar.es/record/150519/files/texto_completo.pdf Versión publicada 2454912 http://zaguan.unizar.es/record/150519/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:150519 articulos driver 2026-02-17-20:34:39 ARTICLE