| Full text | |
| Author(s): |
de Carvalho, Tiago
;
Llibre, Jaume
;
Tonon, Durval Jose
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 449, n. 1, p. 572-579, MAY 1 2017. |
| Web of Science Citations: | 0 |
| 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 (x) over dot = -y((x(2) + y(2))/2)(m) and (y) over dot = 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. 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. (C) 2016 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 14/02134-7 - Qualitative theory and bifurcations of piecewise smooth vector fields |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |