dc.contributor.author
Bastos, J.L.R.
dc.contributor.author
Buzzi, C.A.
dc.contributor.author
Torregrosa, J.
dc.date.accessioned
2023-08-28T13:38:10Z
dc.date.accessioned
2024-09-19T14:35:52Z
dc.date.available
2023-08-28T13:38:10Z
dc.date.available
2024-09-19T14:35:52Z
dc.date.issued
2023-06-19
dc.identifier.uri
http://hdl.handle.net/2072/536854
dc.description.abstract
In this paper we recover the best lower bound for the number of limit cycles in the planar piecewise linear class when one vector field is defined in the first quadrant and a second one in the others. In this class and considering a degenerated Hopf bifurcation near families of centers we obtain again at least five limit cycles but now from infinity, which is of monodromic type, and with simpler computations. The proof uses a partial classification of the center problem when both systems are of center type. © 2023, The Author(s).
eng
dc.description.sponsorship
This work has been realized thanks to the Spanish Ministerio de Ciencia, Innovación y Universidades - Agencia Estatal de Investigación PID2019-104658GB-I00 grant; the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R &D CEX2020-001084-M grant; the Catalan AGAUR 2021SGR00113 grant; the Brazilian CNPq 304798/2019-3 and São Paulo Paulo Research Foundation (FAPESP), 2019/10269-3 grants; and the European Community H2020-MSCA-RISE-2017-777911 grant.
dc.format.extent
11 p.
cat
dc.publisher
Springer (Birkhauser)
cat
dc.relation.ispartof
Qualitative Theory of Dynamical Systems
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Center-focus problem; Local cyclicity; Nonsmooth boundary; Piecewise linear planar vector fields
cat
dc.title
Cyclicity Near Infinity in Piecewise Linear Vector Fields Having a Nonregular Switching Line
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1007/s12346-023-00817-9
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
