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Nonlinear oscillatory mixing in the generalized Landau scenario
dc.contributor.author | Herrero Simon, Ramon |
dc.contributor.author | Farjas Silva, Jordi |
dc.contributor.author | Pi Vila, Francesc |
dc.contributor.author | Orriols Tubella, Gaspar |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física |
dc.date.accessioned | 2018-12-04T14:00:34Z |
dc.date.available | 2018-12-04T14:00:34Z |
dc.date.issued | 2018-05-31 |
dc.identifier.citation | Herrero, R., Farjas, J., Pi, F., Orriols, G. Nonlinear oscillatory mixing in the generalized Landau scenario. "Physical review E", 31 Maig 2018, vol. 97, núm. 5, p. 052218-1-052218-14. |
dc.identifier.issn | 2470-0053 |
dc.identifier.uri | http://hdl.handle.net/2117/125381 |
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.language.iso | eng |
dc.publisher | American Institute of Physics (AIP) |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Nonlinear systems |
dc.subject.other | Dynamical systems |
dc.subject.other | High dimensional systems |
dc.subject.other | Multiple time scale dynamics |
dc.subject.other | Nonlinear dynamics |
dc.title | Nonlinear oscillatory mixing in the generalized Landau scenario |
dc.type | Article |
dc.subject.lemac | Sistemes no lineals |
dc.contributor.group | Universitat Politècnica de Catalunya. DONLL - Dinàmica no Lineal, Òptica no Lineal i Làsers |
dc.identifier.doi | 10.1103/PhysRevE.97.052218 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.052218 |
dc.rights.access | Open Access |
local.identifier.drac | 23214873 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Herrero, R.; Farjas, J.; Pi, F.; Orriols, G. |
local.citation.publicationName | Physical review E |
local.citation.volume | 97 |
local.citation.number | 5 |
local.citation.startingPage | 052218-1 |
local.citation.endingPage | 052218-14 |
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