000119870 001__ 119870
000119870 005__ 20240319081013.0
000119870 0247_ $$2doi$$a10.1088/1751-8121/ac89bd
000119870 0248_ $$2sideral$$a130616
000119870 037__ $$aART-2022-130616
000119870 041__ $$aeng
000119870 100__ $$0(orcid)0000-0003-4480-6535$$aCariñena, J F$$uUniversidad de Zaragoza
000119870 245__ $$aStratified lie systems: theory and applications
000119870 260__ $$c2022
000119870 5060_ $$aAccess copy available to the general public$$fUnrestricted
000119870 5203_ $$aA 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.
000119870 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E48-20R$$9info:eu-repo/grantAgreement/ES/MINECO/PGC2018-098265-B-C31
000119870 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000119870 590__ $$a2.1$$b2022
000119870 592__ $$a0.718$$b2022
000119870 591__ $$aPHYSICS, MATHEMATICAL$$b14 / 56 = 0.25$$c2022$$dQ1$$eT1
000119870 593__ $$aMathematical Physics$$c2022$$dQ2
000119870 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b47 / 85 = 0.553$$c2022$$dQ3$$eT2
000119870 593__ $$aModeling and Simulation$$c2022$$dQ2
000119870 593__ $$aStatistics and Probability$$c2022$$dQ2
000119870 593__ $$aStatistical and Nonlinear Physics$$c2022$$dQ2
000119870 593__ $$aPhysics and Astronomy (miscellaneous)$$c2022$$dQ2
000119870 594__ $$a4.0$$b2022
000119870 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000119870 700__ $$ade Lucas, J
000119870 700__ $$aWysocki, D
000119870 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica
000119870 773__ $$g55, 38 (2022), 385206 [31 pp.]$$pJournal of Physics A-Mathematical and Theoretical$$tJournal of Physics A-Mathematical and Theoretical$$x1751-8113
000119870 8564_ $$s1360016$$uhttps://zaguan.unizar.es/record/119870/files/texto_completo.pdf$$yVersión publicada
000119870 8564_ $$s1055604$$uhttps://zaguan.unizar.es/record/119870/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000119870 909CO $$ooai:zaguan.unizar.es:119870$$particulos$$pdriver
000119870 951__ $$a2024-03-18-15:19:52
000119870 980__ $$aARTICLE