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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

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Author(s):
Euzebio, Rodrigo D. [1] ; Llibre, Jaume [2]
Total Authors: 2
Affiliation:
[1] UNESP, IBILCE, Dept Matemat, BR-1505400 Sao Jose De Rio Preto, SP - Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona - Spain
Total Affiliations: 2
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 424, n. 1, p. 475-486, APR 1 2015.
Web of Science Citations: 13
Abstract

In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 <= N <= 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity. (C) 2014 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 10/18015-6 - A study for minimal sets in non-smooth systems in dimensions two and three
Grantee:Rodrigo Donizete Euzébio
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 12/05635-1 - Study of families of periodic orbits and their bifurcations in differential equations of finite dimension
Grantee:Rodrigo Donizete Euzébio
Support Opportunities: Scholarships abroad - Research Internship - Doctorate