Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters

Autor: Shuhua Gong, Maoan Han
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-16 (2020)
Druh dokumentu: article
ISSN: 1687-1847
28342305
DOI: 10.1186/s13662-020-02827-2
Popis: Abstract This paper is concerned with the number of limit cycles bifurcating from a period annulus for some planar piecewise smooth non-Hamiltonian systems. We construct a planar piecewise quadratic system with multiple parameters, obtain its lower bound for the maximum number of limit cycles by using Melnikov function method, and find more limit cycles than (Li and Liu in J. Math. Anal. Appl. 428:1354–1367, 2015).
Databáze: Directory of Open Access Journals
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