dc.contributor.author
Gasull, A.
dc.contributor.author
Guillamon, A.
dc.contributor.author
Mañosa, V.
dc.date.accessioned
2023-11-14T11:37:05Z
dc.date.accessioned
2024-09-19T14:34:48Z
dc.date.available
2023-11-14T11:37:05Z
dc.date.available
2024-09-19T14:34:48Z
dc.date.issued
2023-10-04
dc.identifier.uri
http://hdl.handle.net/2072/537054
dc.description.abstract
We present several results on the determination of the number and distribution of limit cycles or centers for planar systems of differential equations. In most cases, the study of a recurrence is one of the key points of our approach. These results include the counting of the number of configurations of stabilities of nested limit cycles, the study of the number of different configurations of a given number of limit cycles, the proof of some quadratic lower bounds for Hilbert numbers and some questions about the number of centers for planar polynomial vector fields. © A. Gasull, A. Guillamon, V.Mañosa, 2023.
eng
dc.description.sponsorship
Funding text 1: This work has been realized thanks to the Ministerio de Ciencia e Innova-ción (PID2019-104658GB-I00 and PID2021-122954-I00 grants), the grant Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M) and also the Agència de Gestió d’Ajuts Universitaris i de Re-cerca (2021 SGR 00113 and 2021 SGR 01039 grants).; Funding text 2: This work has been realized thanks to the Ministerio de Ciencia e Innovación (PID2019-104658GB-I00 and PID2021-122954-I00 grants), the grant Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M) and also the Agència de Gestió d’Ajuts Universitaris i de Recerca (2021 SGR 00113 and 2021 SGR 01039 grants).
dc.format.extent
19 p.
cat
dc.publisher
Institute of Mathematics and Computer Science
cat
dc.relation.ispartof
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica
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: http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Center; Configuration; Fibonacci numbers; Limit cycle; Phase portrait; Recurrence
cat
dc.title
Counting configurations of limit cycles and centers
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.56415/basm.y2023.i1.p78
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
