000127581 001__ 127581 000127581 005__ 20240319081031.0 000127581 0247_ $$2doi$$a10.1088/1751-8121/ac78ab 000127581 0248_ $$2sideral$$a134569 000127581 037__ $$aART-2022-134569 000127581 041__ $$aeng 000127581 100__ $$aDe Lucas, Javier 000127581 245__ $$aReduction and reconstruction of multisymplectic Lie systems 000127581 260__ $$c2022 000127581 5060_ $$aAccess copy available to the general public$$fUnrestricted 000127581 5203_ $$aA 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. 000127581 536__ $$9info:eu-repo/grantAgreement/ES/MICIU/PGC2018-098265-B-C33$$9info:eu-repo/grantAgreement/ES/MICINN/PGC2018-098265-B-C31$$9info:eu-repo/grantAgreement/ES/MCIU/RED2018-102541-T$$9info:eu-repo/grantAgreement/ES/DGA/E48-20R 000127581 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000127581 590__ $$a2.1$$b2022 000127581 591__ $$aPHYSICS, MATHEMATICAL$$b14 / 56 = 0.25$$c2022$$dQ1$$eT1 000127581 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b47 / 85 = 0.553$$c2022$$dQ3$$eT2 000127581 592__ $$a0.718$$b2022 000127581 593__ $$aMathematical Physics$$c2022$$dQ2 000127581 593__ $$aModeling and Simulation$$c2022$$dQ2 000127581 593__ $$aStatistics and Probability$$c2022$$dQ2 000127581 593__ $$aStatistical and Nonlinear Physics$$c2022$$dQ2 000127581 593__ $$aPhysics and Astronomy (miscellaneous)$$c2022$$dQ2 000127581 594__ $$a4.0$$b2022 000127581 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000127581 700__ $$aGràcia, Xavier 000127581 700__ $$aRivas, Xavier 000127581 700__ $$aRomán-Roy, Narciso 000127581 700__ $$0(orcid)0000-0003-0404-1427$$aVilariño, Silvia$$uUniversidad de Zaragoza 000127581 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000127581 773__ $$g55, 29 (2022), 295204 [35 pp.]$$pJournal of Physics A-Mathematical and Theoretical$$tJournal of Physics A-Mathematical and Theoretical$$x1751-8113 000127581 8564_ $$s1447549$$uhttps://zaguan.unizar.es/record/127581/files/texto_completo.pdf$$yVersión publicada 000127581 8564_ $$s1512150$$uhttps://zaguan.unizar.es/record/127581/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000127581 909CO $$ooai:zaguan.unizar.es:127581$$particulos$$pdriver 000127581 951__ $$a2024-03-18-17:10:08 000127581 980__ $$aARTICLE