Please use this identifier to cite or link to this item:
http://acervodigital.unesp.br/handle/11449/42376
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Llibre, Jaume | - |
dc.contributor.author | da Silva, Paulo R. | - |
dc.contributor.author | Teixeira, Marco A. | - |
dc.date.accessioned | 2014-05-20T15:33:58Z | - |
dc.date.accessioned | 2016-10-25T18:10:36Z | - |
dc.date.available | 2014-05-20T15:33:58Z | - |
dc.date.available | 2016-10-25T18:10:36Z | - |
dc.date.issued | 2009-01-01 | - |
dc.identifier | http://dx.doi.org/10.1137/080722886 | - |
dc.identifier.citation | Siam Journal on Applied Dynamical Systems. Philadelphia: Siam Publications, v. 8, n. 1, p. 508-526, 2009. | - |
dc.identifier.issn | 1536-0040 | - |
dc.identifier.uri | http://hdl.handle.net/11449/42376 | - |
dc.identifier.uri | http://acervodigital.unesp.br/handle/11449/42376 | - |
dc.description.abstract | In this article we describe some qualitative and geometric aspects of nonsmooth dynamical systems theory around typical singularities. We also establish an interaction between nonsmooth systems and geometric singular perturbation theory. Such systems are represented by discontinuous vector fields on R(l), l >= 2, where their discontinuity set is a codimension one algebraic variety. By means of a regularization process proceeded by a blow-up technique we are able to bring about some results that bridge the space between discontinuous systems and singularly perturbed smooth systems. We also present an analysis of a subclass of discontinuous vector fields that present transient behavior in the 2-dimensional case, and we dedicate a section to providing sufficient conditions in order for our systems to have local asymptotic stability. | en |
dc.description.sponsorship | CICYT | - |
dc.format.extent | 508-526 | - |
dc.language.iso | eng | - |
dc.publisher | Siam Publications | - |
dc.source | Web of Science | - |
dc.subject | Regularization | en |
dc.subject | Vector fields | en |
dc.subject | Singular perturbation | en |
dc.subject | Discontinuous vector fields | en |
dc.subject | Sliding vector field | en |
dc.title | Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation | en |
dc.type | outro | - |
dc.contributor.institution | Univ Autonoma Barcelona | - |
dc.contributor.institution | Universidade Estadual de Campinas (UNICAMP) | - |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
dc.description.affiliation | Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain | - |
dc.description.affiliation | IMECC UNICAMP, BR-13081970 São Paulo, Brazil | - |
dc.description.affiliation | IBILCE UNESP, Dept Matemat, BR-15054000 São Paulo, Brazil | - |
dc.description.affiliationUnesp | IBILCE UNESP, Dept Matemat, BR-15054000 São Paulo, Brazil | - |
dc.description.sponsorshipId | CICYT: 2005SGR 00550 | - |
dc.description.sponsorshipId | MTM2005-06098-C02-01 | - |
dc.identifier.doi | 10.1137/080722886 | - |
dc.identifier.wos | WOS:000265777800020 | - |
dc.rights.accessRights | Acesso restrito | - |
dc.identifier.file | WOS000265777800020.pdf | - |
dc.relation.ispartof | Siam Journal on Applied Dynamical Systems | - |
Appears in Collections: | Artigos, TCCs, Teses e Dissertações da Unesp |
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.