Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775086 | Journal of Mathematical Analysis and Applications | 2017 | 8 Pages |
Abstract
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 xË=ây((x2+y2)/2)m and yË=x((x2+y2)/2)m with mâ¥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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tiago de Carvalho, Jaume Llibre, Durval José Tonon,