dc.contributor.author
Arcet, Barbara
dc.contributor.author
Giné, Jaume
dc.contributor.author
Romanovski, Valery G.
dc.date.accessioned
2024-12-05T22:01:14Z
dc.date.available
2024-12-05T22:01:14Z
dc.date.issued
2021-10-08T08:06:29Z
dc.date.issued
2021-10-08T08:06:29Z
dc.identifier
https://doi.org/10.1016/j.nonrwa.2021.103422
dc.identifier
http://hdl.handle.net/10459.1/72023
dc.identifier.uri
http://hdl.handle.net/10459.1/72023
dc.description.abstract
Isochronicity and linearizability of two-dimensional polynomial Hamiltonian systems are revisited and new results are presented. We give a new computational procedure to obtain the necessary and sufficient conditions for the linearization of a polynomial system. Using computer algebra systems we provide necessary and sufficient conditions for linearizability of Hamiltonian systems with homogeneous non-linearities of degrees 5, 6 and 7. We also present some sufficient conditions for systems with nonhomogeneous nonlinearities of degrees two, three and five.
dc.description.abstract
We thank the referees for the careful reading and valuable suggestions which helped to improve the manuscript. The first and third authors are supported by the Slovenian Research Agency (core research program P1-0306). The second author is partially supported by a MINECO/FEDER grant number PID2020-113758GB-I00 and an AGAUR, Spain (Generalitat de Catalunya) grant number 2017SGR-1276.
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00/ES/ANALISIS CUALITATIVO, INTEGRABILIDAD Y BIFURCACIONES EN SISTEMAS DINAMICOS CONTINUOS/
dc.relation
Reproducció del document publicat a https://doi.org/10.1016/j.nonrwa.2021.103422
dc.relation
Nonlinear Analysis: Real World Applications, 2022, vol. 63, 103422
dc.rights
cc-by (c) Barbara Arcet, Jaume Giné, Valery G. Romanovski, 2022
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
http://creativecommons.org/licenses/by/4.0/
dc.subject
Linearizability
dc.subject
Planar polynomial differential systems
dc.subject
Hamiltonian systems
dc.title
Linearizability of planar polynomial Hamiltonian systems
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
