128131 20241125101145.0 doi 10.1063/5.0143876 sideral 135159 ART-2023-135159 eng Barrio, Roberto Universidad de Zaragoza (orcid)0000-0002-8089-343X Deep learning for chaos detection 2023 Access copy available to the general public Unrestricted In this article, we study how a chaos detection problem can be solved using Deep Learning techniques. We consider two classical test examples: the Logistic map as a discrete dynamical system and the Lorenz system as a continuous dynamical system. We train three types of artificial neural networks (multi-layer perceptron, convolutional neural network, and long short-term memory cell) to classify time series from the mentioned systems into regular or chaotic. This approach allows us to study biparametric and triparametric regions in the Lorenz system due to their low computational cost compared to traditional techniques. info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00 info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/DGA-FSE/E24-20R info:eu-repo/grantAgreement/ES/DGA/LMP94_21 info:eu-repo/grantAgreement/ES/DGA/T36-20R info:eu-repo/grantAgreement/ES/MCIU/FPU20-04039 info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096026-B-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.7 2023 PHYSICS, MATHEMATICAL 5 / 60 = 0.083 2023 Q1 T1 MATHEMATICS, APPLIED 25 / 332 = 0.075 2023 Q1 T1 0.778 2023 Physics and Astronomy (miscellaneous) 2023 Q1 Mathematical Physics 2023 Q2 Statistical and Nonlinear Physics 2023 Q2 Applied Mathematics 2023 Q2 Medicine (miscellaneous) 2023 Q2 5.2 2023 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Lozano, Álvaro Universidad de Zaragoza (orcid)0000-0002-1184-5901 Mayora-Cebollero, Ana Universidad de Zaragoza (orcid)0000-0002-4802-2511 Mayora-Cebollero, Carmen Universidad de Zaragoza (orcid)0000-0002-3431-0926 Miguel, Antonio Universidad de Zaragoza (orcid)0000-0001-5803-4316 Ortega, Alfonso Universidad de Zaragoza (orcid)0000-0002-3886-7748 Serrano, Sergio Universidad de Zaragoza (orcid)0000-0002-5701-1670 Vigara, Rubén Universidad de Zaragoza (orcid)0000-0001-7111-5022 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 5008 800 Universidad de Zaragoza Dpto. Ingeniería Electrón.Com. Área Teoría Señal y Comunicac. 33, 7 (2023), 073146 [50 pp.] Chaos CHAOS 1054-1500 241833 http://zaguan.unizar.es/record/128131/files/texto_completo.pdf Postprint 819570 http://zaguan.unizar.es/record/128131/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:128131 articulos driver 2024-11-22-12:04:04 ARTICLE