dc.creator | Carmona Centeno, Victoriano | es |
dc.creator | Fernández Sánchez, Fernando | es |
dc.creator | García Medina, Elisabeth | es |
dc.creator | Teruel Aguilar, Antonio Esteban | es |
dc.date.accessioned | 2024-02-29T07:08:40Z | |
dc.date.available | 2024-02-29T07:08:40Z | |
dc.date.issued | 2010-03 | |
dc.identifier.citation | Carmona Centeno, V., Fernández Sánchez, F., García Medina, E. y Teruel Aguilar, A.E. (2010). Existence of homoclinic connections in continuous piecewise linear systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 20(1) (013124), 013124-1-013124-8. https://doi.org/10.1063/1.3339819. | |
dc.identifier.issn | 1054-1500 | es |
dc.identifier.issn | 1089-7682 | es |
dc.identifier.uri | https://hdl.handle.net/11441/155679 | |
dc.description.abstract | Numerical methods are often used to put in evidence the existence of global connections in differential systems. The principal reason is that the corresponding analytical proofs are usually very complicated. In this work we give an analytical proof of the existence of a pair of homoclinic connections in a continuous piecewise linear system, which can be considered to be a version of the widely studied Michelson system. Although the computations developed in this proof are specific to the system, the techniques can be extended to other piecewise linear systems. | es |
dc.format | application/pdf | es |
dc.format.extent | 9 p. | es |
dc.language.iso | eng | es |
dc.publisher | American Institute of Physics | es |
dc.relation.ispartof | Chaos: An Interdisciplinary Journal of Nonlinear Science, 20(1) (013124), 013124-1-013124-8. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nonlinear systems | es |
dc.subject | Dynamical systems | es |
dc.subject | Electronic circuits | es |
dc.subject | Hamiltonian mechanics | es |
dc.subject | Celestial mechanics | es |
dc.subject | Trigonometry | es |
dc.subject | Partial differential equations | es |
dc.subject | Vector fields | es |
dc.subject | Functions and mappings | es |
dc.subject | Geometrical optics | es |
dc.title | Existence of homoclinic connections in continuous piecewise linear systems | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.projectID | MTM2006-00847 | es |
dc.relation.projectID | MTM2007-64193 | es |
dc.relation.projectID | TIC-0130 | es |
dc.relation.projectID | EXC/2005/FQM872 | es |
dc.relation.projectID | P08-FQM-03770 | es |
dc.relation.projectID | MTM2009-07849 | es |
dc.relation.projectID | MTM2005-06098-C02-1 | es |
dc.relation.projectID | UIB2005/6 | es |
dc.relation.projectID | CEH-064864 | es |
dc.relation.publisherversion | https://pubs.aip.org/aip/cha/article/20/1/013124/280693/Existence-of-homoclinic-connections-in-continuous | es |
dc.identifier.doi | 10.1063/1.3339819 | es |
dc.contributor.group | Universidad de Sevilla. TIC130: Investigación en Sistemas Dinámicos en Ingeniería | es |
dc.journaltitle | Chaos: An Interdisciplinary Journal of Nonlinear Science | es |
dc.publication.volumen | 20(1) | es |
dc.publication.issue | 013124 | es |
dc.publication.initialPage | 013124-1 | es |
dc.publication.endPage | 013124-8 | es |
dc.contributor.funder | Ministerio de Ciencia y Tecnología (MCYT). España | es |
dc.contributor.funder | Junta de Andalucía | es |