Non-smooth quadratic centers defined in two arbitrary sectors

Isaac A. García

Applied Mathematics and Computation, 2016, vol. 289, issue C, 37-47

Abstract: 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.

Keywords: Non-smooth dynamics; Center problem; Periodic orbits; Poincaré map (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:289:y:2016:i:c:p:37-47

DOI: 10.1016/j.amc.2016.05.017

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