Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve

Jimenez Jeidy J. and Llibre Jaume and Medrado João C.: Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve. (2020)

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Abstract

As for the general planar differential systems one of the main problems for the piecewise linear differential systems is to determine the existence and the maximum number of crossing limits cycles that these systems can exhibit. But in general to provide a sharp upper bound on the number of crossing limit cycles is a very difficult problem. In this work we study the existence of crossing limit cycles and their distribution for piecewise linear differential systems formed by linear differential centers and separated by a reducible cubic curve, formed either by a circle and a straight line, or by a parabola and a straight line.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2020
Number: 19
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2020.1.19
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 46-48. ; összefoglalás angol nyelven
Date Deposited: 2020. Jun. 08. 09:07
Last Modified: 2021. Oct. 20. 13:52
URI: http://acta.bibl.u-szeged.hu/id/eprint/69523

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