Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/18475
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Sokolović Igor | - |
dc.contributor.author | Mali Petar | - |
dc.contributor.author | Jovan Odavic | - |
dc.contributor.author | Radosevic Slobodan | - |
dc.contributor.author | Medvedeva Svetlana | - |
dc.contributor.author | Botha Andre | - |
dc.contributor.author | Shukrinov Yuri | - |
dc.contributor.author | Jasmina Tekic | - |
dc.date.accessioned | 2020-12-13T12:45:49Z | - |
dc.date.available | 2020-12-13T12:45:49Z | - |
dc.date.issued | 2017 | - |
dc.identifier.issn | 2470-0045 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/18475 | - |
dc.description.abstract | © 2017 American Physical Society. The devil's staircase structure arising from the complete mode locking of an entirely nonchaotic system, the overdamped dc+ac driven Frenkel-Kontorova model with deformable substrate potential, was observed. Even though no chaos was found, a hierarchical ordering of the Shapiro steps was made possible through the use of a previously introduced continued fraction formula. The absence of chaos, deduced here from Lyapunov exponent analyses, can be attributed to the overdamped character and the Middleton no-passing rule. A comparative analysis of a one-dimensional stack of Josephson junctions confirmed the disappearance of chaos with increasing dissipation. Other common dynamic features were also identified through this comparison. A detailed analysis of the amplitude dependence of the Shapiro steps revealed that only for the case of a purely sinusoidal substrate potential did the relative sizes of the steps follow a Farey sequence. For nonsinusoidal (deformed) potentials, the symmetry of the Stern-Brocot tree, depicting all members of particular Farey sequence, was seen to be increasingly broken, with certain steps being more prominent and their relative sizes not following the Farey rule. | - |
dc.language.iso | en | - |
dc.relation.ispartof | Physical Review E | - |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.title | Devil's staircase and the absence of chaos in the dc- and ac-driven overdamped Frenkel-Kontorova model | - |
dc.type | Journal/Magazine Article | - |
dc.identifier.doi | 10.1103/PhysRevE.96.022210 | - |
dc.identifier.scopus | 2-s2.0-85028731109 | - |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=106888&source=BEOPEN&language=en | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85028731109 | - |
dc.relation.issue | 2 | - |
dc.relation.volume | 96 | - |
dc.identifier.externalcrisreference | (BISIS)106888 | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za fiziku | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za fiziku | - |
crisitem.author.orcid | 0000-0002-3879-5051 | - |
crisitem.author.orcid | 0000-0002-3211-1392 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
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