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http://hdl.handle.net/2445/192805
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DC Field | Value | Language |
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dc.contributor.author | Meiss, James D. | - |
dc.contributor.author | Miguel i Baños, Narcís | - |
dc.contributor.author | Simó, Carles | - |
dc.contributor.author | Vieiro Yanes, Arturo | - |
dc.date.accessioned | 2023-01-31T09:11:10Z | - |
dc.date.available | 2023-01-31T09:11:10Z | - |
dc.date.issued | 2018-11-15 | - |
dc.identifier.issn | 0951-7715 | - |
dc.identifier.uri | http://hdl.handle.net/2445/192805 | - |
dc.description.abstract | Angle-action maps that have a periodicity in the action direction can have accelerator modes: orbits that are periodic when projected onto the torus, but that lift to unbounded orbits in an action variable. In this paper we construct a family of volume-preserving maps, with two angles and one action, that have accelerator modes created at Hopf-one (or saddle-center-Hopf) bifurcations. Near such a bifurcation we show that there is often a bubble of invariant tori. Computations of chaotic orbits near such a bubble show that the trapping times have an algebraic decay similar to that seen around stability islands in area-preserving maps. As in the 2D case, this gives rise to anomalous diffusive properties of the action in our 3D map. | - |
dc.format.extent | 28 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | IOP Publishing | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1088/1361-6544/aae69f | - |
dc.relation.ispartof | Nonlinearity, 2018, vol. 31, num. 12, p. 5615-5642 | - |
dc.relation.uri | https://doi.org/10.1088/1361-6544/aae69f | - |
dc.rights | (c) IOP Publishing & London Mathematical Society , 2018 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de la bifurcació | - |
dc.subject.classification | Sistemes dinàmics diferenciables | - |
dc.subject.classification | Equacions diferencials ordinàries | - |
dc.subject.classification | Sistemes dinàmics de baixa dimensió | - |
dc.subject.classification | Processos de Markov | - |
dc.subject.other | Bifurcation theory | - |
dc.subject.other | Differentiable dynamical systems | - |
dc.subject.other | Ordinary differential equations | - |
dc.subject.other | Low-dimensional dynamical systems | - |
dc.subject.other | Markov processes | - |
dc.title | Accelerator modes and anomalous diffusion in 3D volume-preserving maps | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 682405 | - |
dc.date.updated | 2023-01-31T09:11:10Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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682405.pdf | 6.36 MB | Adobe PDF | View/Open |
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