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

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 Melnik...

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Bibliographic Details
Published in:Advances in difference equations 2020-07, Vol.2020 (1), p.1-16, Article 366
Main Authors: Gong, Shuhua, Han, Maoan
Format: Article
Language:English
Subjects:
Analysis
Bifurcations
Chaos theory
Construction planning
Difference and Functional Equations
Functional Analysis
Hamiltonian functions
Limit cycle
Lower bounds
Mathematics
Mathematics and Statistics
Melnikov function method
Ordinary Differential Equations
Parameters
Partial Differential Equations
Piecewise smooth system
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Summary: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 ).
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02827-2