dc.contributor.author
Giné, J.
dc.contributor.author
Romanovski, V.G.
dc.contributor.author
Torregrosa, J.
dc.date.accessioned
2024-03-04T11:18:51Z
dc.date.accessioned
2024-09-19T14:29:00Z
dc.date.available
2024-03-04T11:18:51Z
dc.date.available
2024-09-19T14:29:00Z
dc.date.issued
2023-11-27
dc.identifier.uri
http://hdl.handle.net/2072/537456
dc.description.abstract
We study the local analytical integrability in a neighborhood of p: −q resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect to the non-smooth involution ϕ(x, y) = (yp/q, xq/p ). Some generalizations of the theory developed by Sibirsky for the 1: −1 resonant case to the p: −q resonant case are presented. © 2024 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 and PID2020-113758GB-I00 grants; an AGAUR (Generalitat de Catalunya) grants number 2021SGR01618 and number 2021SGR00113; the Slovenian Research Agency (core research program P1-0306) and the European Community H2020-MSCA-RISE-2017-777911 grant.
dc.format.extent
16 p.
cat
dc.publisher
American Institute of Mathematical Sciences
cat
dc.relation.ispartof
AIMS Mathematics
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.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
integrability; planar systems of ODEs; resonant singularity; time-reversibility
cat
dc.title
Time-reversibility and integrability of p: −q resonant vector fields
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.3934/math.2024005
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
