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Systematic search for islets of stability in the standard map for large parameter values

dc.contributor.authorNieto, Alexandre R.
dc.contributor.authorCapeáns, Rubén
dc.contributor.authorSanjuan, Miguel A.F.
dc.date.accessioned2024-06-26T11:40:16Z
dc.date.available2024-06-26T11:40:16Z
dc.date.issued2024-04-14
dc.identifier.citationNieto, A.R., Capeáns, R. & Sanjuán, M.A.F. Systematic search for islets of stability in the standard map for large parameter values. Nonlinear Dyn 112, 10147–10155 (2024). https://doi.org/10.1007/s11071-024-09566-zes
dc.identifier.issn1573-269X (online)
dc.identifier.issn0924-090X (print)
dc.identifier.urihttps://hdl.handle.net/10115/35154
dc.descriptionOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature
dc.description.abstractIn the seminal paper, Chirikov (Phys Rep 52:263–379, 1979) showed that the standard map does not exhibit a boundary to chaos, but rather that there are small islands (“islets”) of stability for arbitrarily large values of the nonlinear perturbation. In this context, he established that the area of the islets in the phase space and the range of parameter values where they exist should decay following power laws with exponents and , respectively. In this paper, we carry out a systematic numerical search for islets of stability and we show that the power laws predicted by Chirikov hold. Furthermore, we use high-resolution 3D islets to reveal that the islets’ volume decays following a similar power law with exponent -3es
dc.language.isoenges
dc.publisherSpringeres
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectHamiltonian systemses
dc.subjectArea-preserving mapses
dc.subjectKAM tories
dc.subjectNumerical simulationses
dc.titleSystematic search for islets of stability in the standard map for large parameter valueses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1007/s11071-024-09566-zes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses


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Atribución 4.0 InternacionalExcept where otherwise noted, this item's license is described as Atribución 4.0 Internacional