Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

A Remark on the Onset of Resonance Overlap

Vista senzilla d'ítem
dc.contributor.authorFejoz, Jacques
dc.contributor.authorGuàrdia Munárriz, Marcel
dc.date.accessioned2024-02-15T09:05:44Z
dc.date.available2024-08-31T05:10:09Z
dc.date.issued2023-09-01
dc.date.updated2024-02-15T09:05:44Z
dc.description.abstractChirikov’s celebrated criterion of resonance overlap has been widely used in celestial mechanics and Hamiltonian dynamics to detect global instability, but is rarely rigorous. We introduce two simple Hamiltonian systems, each depending on two parameters measuring, respectively, the distance to resonance overlap and nonintegrability. Within some thin region of the parameter plane, classical perturbation theory shows the existence of global instability and symbolic dynamics, thus illustrating Chirikov’s criterion.
dc.format.extent7 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec742453
dc.identifier.issn1560-3547
dc.identifier.urihttps://hdl.handle.net/2445/207620
dc.language.isoeng
dc.publisherPleiades Publishing
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1134/S1560354723040056
dc.relation.ispartofRegular and Chaotic Dynamics, 2023, vol. 28, num.4, p. 578-584
dc.relation.urihttps://doi.org/10.1134/S1560354723040056
dc.rights(c) Pleiades Publishing, 2023
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationSistemes hamiltonians
dc.subject.classificationSistemes dinàmics diferenciables
dc.subject.classificationPertorbació (Matemàtica)
dc.subject.otherHamiltonian systems
dc.subject.otherDifferentiable dynamical systems
dc.subject.otherPerturbation (Mathematics)
dc.titleA Remark on the Onset of Resonance Overlap
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

Fitxers

Paquet original

Mostrant 1 - 1 de 1
Miniatura
Nom:
842141.pdf
Mida:
1.58 MB
Format:
Adobe Portable Document Format
Descarregar

Col·leccions

Articles publicats en revistes (Matemàtiques i Informàtica)