Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/59838
Type: Artigo
Title: Piecewise linear differential systems with two real saddles
Title Alternative: 
Author: Artés, Joan C.
Llibre, Jaume
Medrado, Joao C.
Teixeira, Marco A.
Abstract: In this paper we study piecewise linear differential systems formed by two regions separated by a straight line so that each system has a real saddle point in its region of definition. If both saddles are conveniently situated, they produce a transition flow from a segment of the splitting line to another segment of the same line, and this produces a generalized singular point on the line. This point is a focus or a center and there can be found limit cycles around it. We are going to show that the maximum number of limit cycles that can bifurcate from this focus is two. One of them appears through a Hopf bifurcation and the second when the focus becomes a node by means of the sliding. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.
In this paper we study piecewise linear differential systems formed by two regions separated by a straight line so that each system has a real saddle point in its region of definition. If both saddles are conveniently situated, they produce a transition f
metadata.dc.description.abstractalternative: 
Subject: Ciclos limite
Sistemas dinâmicos diferenciais
Teoria da bifurcação
Sistemas lineares por partes
Country: Países Baixos
Editor: Elsevier
Citation: Mathematics And Computers In Simulation. Elsevier Science Bv, v. 95, n. 13, n. 22, 2014.
Rights: fechado
fechado
Identifier DOI: 10.1016/j.matcom.2013.02.007
Address: https://www.sciencedirect.com/science/article/pii/S0378475413000396
Date Issue: 2013
Appears in Collections:IMECC - Artigos e Outros Documentos

Files in This Item:
File SizeFormat 
000328297300003.pdf431.35 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.