Publicación:
CROSSING LIMIT CYCLES FOR DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL CENTERS SEPARATED BY THREE PARALLEL STRAIGHT LINES

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dc.creatorMARIA ELISA ANACLETO HOYOS
dc.creatorJOSÉ CLAUDIO VIDAL DÍAZ
dc.date2023
dc.date.accessioned2025-01-10T15:40:00Z
dc.date.available2025-01-10T15:40:00Z
dc.date.issued2023
dc.description.abstractIN THIS PAPER WE STUDY THE CONTINUOUS AND DISCONTINUOUS PLANAR PIECEWISE DIFFERENTIAL SYSTEMS FORMED BY FOUR LINEAR CENTERS SEPARATED BY THREE PARALLEL STRAIGHT LINES DENOTED BY ?={(X,Y)?R2:X=?P,X=0,X=Q, P,Q>0}. WE PROVE THAT WHEN THESE PIECEWISE DIFFERENTIAL SYSTEMS ARE CONTINUOUS THEY HAVE NO LIMIT CYCLES. WHILE FOR THE DISCONTINUOUS CASE WE SHOW THAT THEY CAN HAVE AT MOST FOUR LIMIT CYCLES AND WE ALSO PROVIDE EXAMPLES OF SUCH SYSTEMS WITH ZERO, ONE, AND TWO LIMIT CYCLES. IN PARTICULAR WE HAVE SOLVED THE EXTENSION OF THE 16TH HILBERT PROBLEM TO THIS CLASS OF PIECEWISE DIFFERENTIAL SYSTEMS.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s12215-022-00766-3
dc.identifier.issn1973-4409
dc.identifier.issn0009-725X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13091
dc.languagespa
dc.publisherRENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO SERIES
dc.relation.uri10.1007/s12215-022-00766-3
dc.rightsPUBLICADA
dc.subjectLinear centers
dc.subjectLimit cycles
dc.subjectFirst integrals
dc.subjectDiscontinuous piecewise differential systems
dc.subjectContinuous piecewise differential systems
dc.titleCROSSING LIMIT CYCLES FOR DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL CENTERS SEPARATED BY THREE PARALLEL STRAIGHT LINES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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