On the existence of limit cycles and invariant surfaces of sewing piecewise linear differential systems on $\mathbb{R}^3$

Autor: de Freitas, Bruno Rodrigues, Medrado, João Carlos

We consider a class of discontinuous piecewise linear differential systems in $\mathbb{R}^3$ with two pieces separated by a plane. In this class we show that there exist differential systems having: a unique limit cycle, a unique one-parameter family

Externí odkaz: http://arxiv.org/abs/1708.07168

Limit cycles of continuous and discontinuous piecewise-linear differential systems in R³

Autor: De Freitas, Bruno R., Llibre, Jaume, Medrado, Joao Carlos

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

We study the limit cycles of two families of piecewise-linear differential systems in R³ with two pieces separated by a plane Ʃ. In one family the differential systems are only continuous on the plane Ʃ, and in the other family they are only disco

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5c3b7899f892553f74cda011ae50f522
http://hdl.handle.net/2072/431013

On the limit cycles of a class of piecewise linear differential systems in R^4 with two zones

Autor: Buzzi, Claudio, Llibre, Jaume, Medrado, Joao Carlos

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Agraïments: The first author is partially supported by a FAPESP-BRAZIL grant 07/06896-5. The first and the third authors are partially supported by CNPq and CAPES. All authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b5b60ff792755b371aba01905fcab2b9
https://ddd.uab.cat/record/150440

Singularidades simetricas de campos vetoriais em dimensão tres

Autor: Medrado, João Carlos da Rocha

Publikováno v: Repositório Institucional da UnicampUniversidade Estadual de CampinasUNICAMP.

Orientador: Marco Antonio Teixeira
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica
Made available in DSpace on 2018-07-22T07:50:19Z (GMT). No. of bitstreams: 1 Medrado_Jo

Externí odkaz: http://repositorio.unicamp.br/jspui/handle/REPOSIP/305976