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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.)

Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers

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Author(s):
Carvalho, Tiago [1] ; Goncalves, Luiz Fernando [2] ; Llibre, Jaume [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, Av Bandeirantes, 3900, BR-14040901 Ribeirao Preto, SP - Brazil
[2] Univ Fed Goias, Inst Matemat & Estat, Campus Samambaia, BR-74690900 Goiania, Go - Brazil
[3] Univ Autonoma Barcelona, Fac Ciencies, Dept Matemat, Barcelona 08193 - Spain
Total Affiliations: 3
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 31, n. 15 DEC 15 2021.
Web of Science Citations: 0
Abstract

We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piecewise differential systems formed by two differential systems separated by a straight line presenting rigid centers. These two rigid centers are polynomial differential systems with a linear part and a nonlinear homogeneous part. We study the maximum number of limit cycles that such a class of piecewise differential systems can exhibit. (AU)

FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants