119870 20240319081013.0 doi 10.1088/1751-8121/ac89bd sideral 130616 ART-2022-130616 eng Cariñena, J F Universidad de Zaragoza (orcid)0000-0003-4480-6535 Stratified lie systems: theory and applications 2022 Access copy available to the general public Unrestricted A stratified Lie system is a nonautonomous system of first-order ordinary differential equations on a manifold M described by a t-dependent vector field $X={\sum }_{\alpha =1}^{r}{g}_{\alpha }{X}_{\alpha }$, where X1, ..., Xr are vector fields on M spanning an r-dimensional Lie algebra that are tangent to the strata of a stratification $\mathcal{F}$ of M while ${g}_{1},\dots ,{g}_{r}:\mathbb{R}\times M\to \mathbb{R}$ are functions depending on t that are constant along integral curves of X1, ..., Xr for each fixed t. We analyse the particular solutions of stratified Lie systems and how their properties can be obtained as generalisations of those of Lie systems. We illustrate our results by studying Lax pairs and a class of t-dependent Hamiltonian systems. We study stratified Lie systems with compatible geometric structures. In particular, a class of stratified Lie systems on Lie algebras are studied via Poisson structures induced by r-matrices. info:eu-repo/grantAgreement/ES/DGA/E48-20R info:eu-repo/grantAgreement/ES/MINECO/PGC2018-098265-B-C31 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 de Lucas, J Wysocki, D 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 55, 38 (2022), 385206 [31 pp.] Journal of Physics A-Mathematical and Theoretical Journal of Physics A-Mathematical and Theoretical 1751-8113 1360016 http://zaguan.unizar.es/record/119870/files/texto_completo.pdf Versión publicada 1055604 http://zaguan.unizar.es/record/119870/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:119870 articulos driver 2024-03-18-15:19:52 ARTICLE