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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.)

Algebraic Limit Cycles in Piecewise Linear Differential Systems

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Author(s):
Buzzi, Claudio A. [1] ; Gasull, Armengol [2] ; Torregrosa, Joan [2]
Total Authors: 3
Affiliation:
[1] Univ Estadual Paulista, Dept Matemat, Sao Jose Do Rio Preto - Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona - Spain
Total Affiliations: 2
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 28, n. 3 MAR 2018.
Web of Science Citations: 0
Abstract

This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some one-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed. (AU)

FAPESP's process: 17/03352-6 - Limit cycles in some piecewise differential systems
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 13/24541-0 - Ergodic and qualitative theory of dynamical systems
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants