dc.creator | Aragão Costa, Eder Ritis | es |
dc.creator | Carvalho, Alexandre Nolasco | es |
dc.creator | Marín Rubio, Pedro | es |
dc.creator | Planas, Gabriela | es |
dc.date.accessioned | 2019-03-11T11:34:45Z | |
dc.date.available | 2019-03-11T11:34:45Z | |
dc.date.issued | 2013-12 | |
dc.identifier.citation | Aragão Costa, E.R., Carvalho, A.N., Marín Rubio, P. y Planas, G. (2013). Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems. Topological Methods in Nonlinear Analysis, 42 (2), 345-376. | |
dc.identifier.issn | 1230-3429 | es |
dc.identifier.uri | https://hdl.handle.net/11441/84122 | |
dc.description.abstract | We consider an autonomous dynamical system coming from a coupled system in cascade where the uncoupled part of the system satisfies that the solutions comes from −∞ and goes to ∞ to equilibrium points, and where the coupled part generates asymptotically a gradient-like nonlinear semigroup. Then, the complete model is proved to be also gradient-like. The interest of this extension comes, for instance, in models where a continuum of equilibrium points holds, and for example a Lojasiewicz-Simon condition is satisfied. Indeed, we illustrate the usefulness of the theory with several examples. | es |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico | es |
dc.description.sponsorship | Coordenação de aperfeiçoamento de pessoal de nivel superior | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Ministerio de Educación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies | es |
dc.relation.ispartof | Topological Methods in Nonlinear Analysis, 42 (2), 345-376. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Dynamical system | es |
dc.subject | Nonlinear semigroup | es |
dc.subject | Attractor | es |
dc.subject | Gradient-like semigroup | es |
dc.subject | Łojasiewicz-Simon inequality | es |
dc.title | Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | 2008/50248-0 | es |
dc.relation.projectID | 305230/2011-5 | es |
dc.relation.projectID | 238/2011 | es |
dc.relation.projectID | 2008/55516-3 | es |
dc.relation.projectID | MTM2008-00088 | es |
dc.relation.projectID | P07-FQM-02468 | es |
dc.relation.projectID | PHB2010-0002-PC | es |
dc.relation.projectID | 302865/2012-8 | es |
dc.relation.projectID | 2008/09342-3 | es |
dc.relation.publisherversion | https://projecteuclid.org/download/pdf_1/euclid.tmna/1461248983 | es |
dc.contributor.group | Universidad de Sevilla. FQM-314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 26 p. | es |
dc.journaltitle | Topological Methods in Nonlinear Analysis | es |
dc.publication.volumen | 42 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 345 | es |
dc.publication.endPage | 376 | es |