Non-smooth quadratic centers defined in two arbitrary sectors

dc.contributor.author
García, I. A. (Isaac A.)
dc.date.accessioned
2024-12-05T21:53:21Z
dc.date.available
2024-12-05T21:53:21Z
dc.date.issued
2016-11-04T09:09:21Z
dc.date.issued
2018-11-01T23:19:24Z
dc.date.issued
2016-11-25
dc.date.issued
2016-11-04T09:09:21Z
dc.identifier
https://doi.org/10.1016/j.amc.2016.05.017
dc.identifier
0096-3003
dc.identifier
http://hdl.handle.net/10459.1/58379
dc.identifier.uri
http://hdl.handle.net/10459.1/58379
dc.description.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.
dc.description.abstract
The author is partially supported by a MINECO grant number MTM2014-53703-P and by a CIRIT grant number 2014 SGR 1204.
dc.format
application/pdf
dc.language
eng
dc.publisher
Elsevier
dc.relation
MINECO/PN2013-2016/MTM2014-53703-P
dc.relation
Versió postprint del document publicat a https://doi.org/10.1016/j.amc.2016.05.017
dc.relation
Applied Mathematics and Computation, 2016, vol. 289, p. 37-47
dc.rights
cc-by-nc-nd (c) Elsevier, 2016
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Non-smooth dynamics
dc.subject
Center problem
dc.subject
Periodic orbits
dc.subject
Poincaré map
dc.title
Non-smooth quadratic centers defined in two arbitrary sectors
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion


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