dc.contributor.author
Delshams, A.
dc.contributor.author
Granados, A.
dc.contributor.author
Schaefer, R. G.
dc.date.accessioned
2024-07-10T08:11:02Z
dc.date.accessioned
2024-09-19T14:34:51Z
dc.date.available
2024-07-10T08:11:02Z
dc.date.available
2024-09-19T14:34:51Z
dc.date.issued
2024-05-21
dc.identifier.uri
http://hdl.handle.net/2072/537706
dc.description.abstract
In this work we study the Arnold diffusion phenomenon on a concrete example of an a priori unstable Hamiltonian system with 3+1/2 degrees of freedom. Thanks to our mechanism, based on iterations of scattering and inner maps, rather than ensuring the existence of Arnold diffusion, we can present examples of diffusing orbits and estimate the diffusing time for some of these orbits. Throughout this paper, we use analytical methods supplemented by numerical calculations.
eng
dc.description.sponsorship
AD has been partially supported by the SpanishMINECO/FEDER Grant PID2021-123968NB-I00. RGShas been partially supported by CNPq, Conselho Nacionalde Desenvolvimento Cient´ıfico e Tecnol´ogico -Brasil and the Priority Research Area SciMat underthe program Excellence Initiative - Research Universityat the Jagiellonian University in Krak´ow. RGS wouldlike to thank the hospitality of the Departament deMatem`atiques of Universitat Polit`ecnica de Catalunyaand Matematiska institutionen of Uppsala Universitetwhere part of this work was carried out. The authorswould like to express their gratitude to the anonymousreferees for their comments and suggestions which havecontributed to improve the final form of this paper.
dc.publisher
AIP Publishing
dc.relation.ispartof
Chaos: An Interdisciplinary Journal of Nonlinear Science
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
Dynamical systems
dc.subject.other
Invariant manifold
dc.subject.other
Hamiltonian mechanics
dc.title
Arnold diffusion for an a priori unstable Hamiltonian system with 3 + 1/2 degrees of freedom
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
dc.identifier.doi
10.1063/5.0185044
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
