Artículos de revistas
Limit cycles of discontinuous piecewise polynomial vector fields
Fecha
2017-05-01Registro en:
Journal of Mathematical Analysis and Applications, v. 449, n. 1, p. 572-579, 2017.
1096-0813
0022-247X
10.1016/j.jmaa.2016.11.048
2-s2.0-85008221893
Autor
Universidade Estadual Paulista (Unesp)
Universitat Autònoma de Barcelona
Universidade Federal de Goiás (UFG)
Institución
Resumen
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((x2+y2)/2)m and y˙=x((x2+y2)/2)m with m≥1, when we perturb it inside a class of discontinuous piecewise polynomial vector fields of degree n with k pieces. The positive integers m, n and k are arbitrary. The main tool used for proving our results is the averaging theory for discontinuous piecewise vector fields.