Universitat de Lleida
In this paper we analyze the center-focus problem of some families of piecewise planar quadratic vector fields on two zones of R2. The zones we consider are two unbounded sectors defined by an arbitrary angle α and a fixed vertex. We also assume that each vector field share a common weak focus singularity at the vertex of the boundary. We observe how the center variety depends on the angle α.
The author is partially supported by a MINECO grant number MTM2014-53703-P and by a CIRIT grant number 2014 SGR 1204.
Anglès
Non-smooth dynamics; Center problem; Periodic orbits; Poincaré map
Elsevier
MINECO/PN2013-2016/MTM2014-53703-P
Versió postprint del document publicat a https://doi.org/10.1016/j.amc.2016.05.017
Applied Mathematics and Computation, 2016, vol. 289, p. 37-47
cc-by-nc-nd (c) Elsevier, 2016
http://creativecommons.org/licenses/by-nc-nd/4.0/
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