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10 p, 320.4 KB Limit cycles of discontinuous piecewise polynomial vector fields / de Carvalho, Tiago (Universidade Estadual Paulista (Brasil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tonon, Durval José. (University of Goiás (Brasil). Institute of Mathematics and Statistics of Federal)
When the first average function is non-zero we provide an upper bound for the maximum number of limit cycles bifurcating from the periodic solutions of the center x= -y((x^2 y^2)/2)^m and y= x((x^2 y^2)/2)^m with m 1, when we perturb it inside a class of discontinuous piecewise polynomial vector fields of degree n with k pieces. [...]
2017 - 10.1016/j.jmaa.2016.11.048
Journal of mathematical analysis and applications, Vol. 449 Núm. 1 (2017) , p. 572-579  
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