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dc.creatorOdavic, Jovan
dc.creatorMali, Petar
dc.creatorTekić, Jasmina
dc.date.accessioned2018-03-01T16:06:45Z
dc.date.available2018-03-01T16:06:45Z
dc.date.issued2015
dc.identifier.issn2470-0045 (print)
dc.identifier.issn2470-0053 (electronic)
dc.identifier.urihttp://vinar.vin.bg.ac.rs/handle/123456789/531
dc.description.abstractThe largest Lyapunov exponent has been examined in the dynamical-mode locking phenomena of the ac+dc driven dissipative Frenkel-Kontorova model with deformable substrate potential. Due to deformation, large fractional and higher order subharmonic steps appear in the response function of the system. Computation of the largest Lyapunov exponent as a way to verify their presence led to the observation of the Farey sequence. In the standard regime, the appearance of half-integer and other subharmonic steps between the large harmonic steps, and their relative sizes follow the Farey construction. In the nonstandard regime, however, the half-integer steps are larger than harmonic ones, and Farey construction is only present in the appearance of higher order subharmonic steps. The examination of Lyapunov exponents has also shown that regardless of the substrate potential or deformation, there was no chaos in the system.en
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/171009/RS//
dc.relationinfo:eu-repo/grantAgreement/MESTD/Integrated and Interdisciplinary Research (IIR or III)/45010/RS//
dc.rightsrestrictedAccessen
dc.sourcePhysical Review Een
dc.titleFarey sequence in the appearance of subharmonic Shapiro stepsen
dc.typearticleen
dcterms.abstractТекић Јасмина; Одавиц, Јован; Мали, Петар;
dc.citation.volume91
dc.citation.issue5
dc.identifier.wos000354252100007
dc.identifier.doi10.1103/PhysRevE.91.052904
dc.citation.otherArticle Number: 052904
dc.identifier.pmid26066226
dc.identifier.scopus2-s2.0-84929193292


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