Inverse Jacobi multipliers and first integrals for nonautonomous differential systems
| dc.contributor.author | Buica, Adriana | |
| dc.contributor.author | García, I. A. (Isaac A.) | |
| dc.date.accessioned | 2016-11-02T12:04:29Z | |
| dc.date.available | 2016-11-02T12:04:29Z | |
| dc.date.issued | 2015-05-01 | |
| dc.date.updated | 2016-11-02T12:04:30Z | |
| dc.description.abstract | In this paper we consider nonautonomous differential systems of arbitrary dimension and first find expressions for their inverse Jacobi multipliers and first integrals in some nonautonomous invariant set in terms of the solutions of the differential system. Given an inverse Jacobi multiplier $V$, we find a relation between the Poincar\'{e} translation map $\Pi$ at time $T$ that extends to arbitrary dimensions the fundamental relation for scalar equations, $V(T,\Pi(x))=V(0,x)\Pi'(x)$, found in Trans. Amer. Math. Soc. 362 (2010), 3591-3612. The main result guarantees the existence of continua of $T$-periodic solutions for $T$-periodic systems in the presence of $T$-periodic first integrals and inverse Jacobi multipliers. | |
| dc.description.sponsorship | The authors are partially supported by a MCYT/FEDER grant number MTM2008-00694 and by a CIRIT grant number 2014 SGR 1204. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.doi | https://doi.org/10.1007/s00033-014-0440-7 | |
| dc.identifier.idgrec | 022983 | |
| dc.identifier.issn | 0044-2275 | |
| dc.identifier.uri | http://hdl.handle.net/10459.1/58351 | |
| dc.language.iso | eng | |
| dc.publisher | Springer Basel | |
| dc.relation | info:eu-repo/grantAgreement/MICINN//MTM2008-00694/ES/METODOS CUALITATIVOS E INTEGRABILIDAD EN LAS ECUACIONES DIFERENCIALES EN EL PLANO/ | |
| dc.relation.isformatof | Versió postprint del document publicat a https://doi.org/10.1007/s00033-014-0440-7 | |
| dc.relation.ispartof | Zeitschrift für Angewandte Mathematik und Physik, 2015, vol. 66, p. 573-585 | |
| dc.rights | (c)Springer Basel, 2015 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Non-autonomous systems | |
| dc.subject | Inverse Jacobi multipliers | |
| dc.title | Inverse Jacobi multipliers and first integrals for nonautonomous differential systems | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | acceptedVersion |