Publicación:
LIMIT CYCLES OF A CONTINUOUS PIECEWISE DIFFERENTIAL SYSTEM FORMED BY A QUADRATIC CENTER AND TWO LINEAR CENTERS

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dc.creatorMARIA ELISA ANACLETO HOYOS
dc.creatorJOSÉ CLAUDIO VIDAL DÍAZ
dc.date2023
dc.date.accessioned2025-01-10T15:39:59Z
dc.date.available2025-01-10T15:39:59Z
dc.date.issued2023
dc.description.abstractTHE STUDY OF LIMIT CYCLES OF PLANAR DIFFERENTIAL SYSTEMS IS ONE OF THE MAIN AND DIFFICULT PROBLEMS FOR UNDERSTANDING THEIR DYNAMICS. THUS THE OBJECTIVE OF THIS PAPER IS TO STUDY THE LIMIT CYCLES OF CONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS IN THE PLANE SEPARATED BY A NON-REGULAR LINE ?. MORE PRECISELY, WE SHOW THAT A CLASS OF CONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS FORMED BY AN ARBITRARY QUADRATIC CENTER, AN ARBITRARY LINEAR CENTER AND THE LINEAR CENTER X?=?Y, Y?=X HAVE AT MOST TWO CROSSING LIMIT CYCLES AND WE FIND EXAMPLES OF SUCH SYSTEMS WITH ONE CROSSING LIMIT CYCLE. SO WE HAVE SOLVED THE EXTENSION OF THE 16TH HILBERT PROBLEM TO THIS CLASS OF PIECEWISE DIFFERENTIAL SYSTEMS PROVIDING AN UPPER BOUND FOR ITS MAXIMUM NUMBER OF LIMIT CYCLES.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s40590-023-00501-7
dc.identifier.issn2296-4495
dc.identifier.issn1405-213X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13090
dc.languagespa
dc.publisherBOLETÍN DE LA SOCIEDAD MATEMÁTICA MEXICANA
dc.relation.uri10.1007/s40590-023-00501-7
dc.rightsPUBLICADA
dc.subjectQuadratic center
dc.subjectLinear center
dc.subjectLimit cycles
dc.subjectFirst integrals
dc.subjectContinuous piecewise differential systems
dc.titleLIMIT CYCLES OF A CONTINUOUS PIECEWISE DIFFERENTIAL SYSTEM FORMED BY A QUADRATIC CENTER AND TWO LINEAR CENTERS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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