High energy rotation type solutions of the forced pendulum equation
| Author | dc.contributor.author | Felmer Aichele, Patricio | es_CL |
| Author | dc.contributor.author | Laire, André de | es_CL |
| Author | dc.contributor.author | Martínez Salazar, Salomé | es_CL |
| Author | dc.contributor.author | Tanaka, Kuzanaga | |
| Admission date | dc.date.accessioned | 2014-01-30T14:31:24Z | |
| Available date | dc.date.available | 2014-01-30T14:31:24Z | |
| Publication date | dc.date.issued | 2013-04-15 | |
| Cita de ítem | dc.identifier.citation | NONLINEARITY Volume: 26 Issue: 5 Pages: 1473-1499 | en_US |
| Identifier | dc.identifier.other | DOI: 10.1088/0951-7715/26/5/1473 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/126341 | |
| General note | dc.description | Artículo de publicación ISI. | en_US |
| Abstract | dc.description.abstract | In this article we study the existence and asymptotic profiles of high-energy rotation type solutions of the singularly perturbed forced pendulum equation ε2u ε + sin uε = ε2α(t)uε in (−L, L). We prove that the asymptotic profile of these solutions is described in terms of an energy function which satisfy an integro-differential equation. Also we show that given a suitable energy function E satisfying the integro-differential equation, a family of solutions of the pendulum equation above exists having E as the asymptotic profile, when ε → 0. Mathematics Subject Classification: 34D15, 34B15, 35B25 (Some figures may appear in colour only in the online journal) | en_US |
| Patrocinador | dc.description.sponsorship | PF was partially supported by Fondecyt Grant # 1110291, BASAL-CMM projects and CAPDE, Anillo ACT-125. SM was supported by FONDECYT 1090183, Basal project CMM U. de Chile, UMI 2807 CNRS, CAPDE Anillo ACT-125 (Chile). KT was partially supported by Grant-in-Aid for Scientific Research (B)(No 20340037) of Japan Society for the Promotion of Science | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | IOP PUBLISHING LTD | en_US |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | * |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| Título | dc.title | High energy rotation type solutions of the forced pendulum equation | en_US |
| Document type | dc.type | Artículo de revista |
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