dc.contributor.author
Gasull, A.
dc.contributor.author
Valls, C.
dc.date.accessioned
2023-06-19T14:08:48Z
dc.date.accessioned
2024-09-19T14:25:31Z
dc.date.available
2023-06-19T14:08:48Z
dc.date.available
2024-09-19T14:25:31Z
dc.date.issued
2021-08-26
dc.identifier.uri
http://hdl.handle.net/2072/535429
dc.description.abstract
We consider non-autonomous N-periodic discrete dynamical systems of the form (Formula presented.) having when (Formula presented.) an open continuum of initial conditions such that the corresponding sequences are N-periodic. From the study of some variational equations of low order, we obtain successive maps, that we call discrete Melnikov functions, such that the simple zeroes of the first one that is not identically zero control the initial conditions that persist as N-periodic sequences of the perturbed discrete dynamical system. We apply these results to several examples, including some Abel-type discrete dynamical systems and some non-autonomous perturbed globally periodic difference equations. © 2021 Informa UK Limited, trading as Taylor & Francis Group.
eng
dc.description.sponsorship
PID2019-104658GB-I00; Fundação para a Ciência e a Tecnologia, FCT; Generalitat de Catalunya: 2017-SGR-1617; Agència de Gestió d'Ajuts Universitaris i de Recerca, AGAUR; Universidade Nova de Lisboa, UNL: UID/MAT/04459/2013
dc.format.extent
12 p.
cat
dc.publisher
Taylor and Francis Ltd.
cat
dc.relation.ispartof
Journal of Difference Equations and Applications
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/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
bifurcation; difference equations; Discrete non-autonomous dynamical systems; Melnikov functions; periodic sequences
cat
dc.title
Discrete Melnikov functions
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.1080/10236198.2021.1970147
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
