127581 20240319081031.0 doi 10.1088/1751-8121/ac78ab sideral 134569 ART-2022-134569 eng De Lucas, Javier Reduction and reconstruction of multisymplectic Lie systems 2022 Access copy available to the general public Unrestricted A Lie system is a non-autonomous system of first-order ordinary differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dimensional real Lie algebra of vector fields, a so-called Vessiot–Guldberg Lie algebra. In this work, multisymplectic forms are applied to the study of the reduction of Lie systems through their Lie symmetries. By using a momentum map, we perform a reduction and reconstruction procedure of multisymplectic Lie systems, which allows us to solve the original problem by analysing several simpler multisymplectic Lie systems. Conversely, we study how reduced multisymplectic Lie systems allow us to retrieve the form of the multisymplectic Lie system that gave rise to them. Our results are illustrated with examples from physics, mathematics, and control theory. info:eu-repo/grantAgreement/ES/DGA/E48-20R info:eu-repo/grantAgreement/ES/MCIU/RED2018-102541-T info:eu-repo/grantAgreement/ES/MICINN/PGC2018-098265-B-C31 info:eu-repo/grantAgreement/ES/MICIU/PGC2018-098265-B-C33 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.1 2022 PHYSICS, MATHEMATICAL 14 / 56 = 0.25 2022 Q1 T1 PHYSICS, MULTIDISCIPLINARY 47 / 85 = 0.553 2022 Q3 T2 0.718 2022 Mathematical Physics 2022 Q2 Modeling and Simulation 2022 Q2 Statistics and Probability 2022 Q2 Statistical and Nonlinear Physics 2022 Q2 Physics and Astronomy (miscellaneous) 2022 Q2 4.0 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Gràcia, Xavier Rivas, Xavier Román-Roy, Narciso Vilariño, Silvia Universidad de Zaragoza (orcid)0000-0003-0404-1427 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 55, 29 (2022), 295204 [35 pp.] Journal of Physics A-Mathematical and Theoretical Journal of Physics A-Mathematical and Theoretical 1751-8113 1447549 http://zaguan.unizar.es/record/127581/files/texto_completo.pdf Versión publicada 1512150 http://zaguan.unizar.es/record/127581/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:127581 articulos driver 2024-03-18-17:10:08 ARTICLE