Nonlinear oscillatory mixing in the generalized Landau scenario
dc.contributor.author
dc.date.accessioned
2018-06-08T07:55:12Z
dc.date.available
2018-06-08T07:55:12Z
dc.date.issued
2018-05-31
dc.identifier.issn
1539-3755
dc.identifier.uri
dc.description.abstract
We present a set of phase-space portraits illustrating the extraordinary oscillatory possibilities of the dynamical systems through the so-called generalized Landau scenario. In its simplest form the scenario develops in N dimensions around a saddle-node pair of fixed points experiencing successive Hopf bifurcations up to exhausting their stable manifolds and generating N−1 different limit cycles. The oscillation modes associated with these cycles extend over a wide phase-space region by mixing ones within the others and by affecting both the transient trajectories and the periodic orbits themselves. A mathematical theory covering the mode-mixing mechanisms is lacking, and our aim is to provide an overview of their main qualitative features in order to stimulate research on it
dc.format.extent
1 p.
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.relation.isformatof
Reproducció digital del document publicat a: https://doi.org/10.1103/PhysRevE.97.052218
dc.relation.ispartof
Physical Review E, 2018, vol. 97, núm. 5, p. 052218-1-052218-14
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Articles publicats (D-F)
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Tots els drets reservats
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Herrero, Ramon Farjas Silva, Jordi Pi, Francesc Orriols, Gaspar 2018 Nonlinear oscillatory mixing in the generalized Landau scenario Physical Review E 97 5 052218-1 052218-14
dc.title
Nonlinear oscillatory mixing in the generalized Landau scenario
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
dc.identifier.idgrec
028510
dc.type.peerreviewed
peer-reviewed
dc.identifier.eissn
1550-2376