Damping models in the truncated derivative nonlinear Schrödinger equation
Data(s) |
2007
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Resumo |
Four-dimensional flow in the phase space of three amplitudes of circularly polarized Alfven waves and one relative phase, resulting from a resonant three-wave truncation of the derivative nonlinear Schrödinger equation, has been analyzed; wave 1 is linearly unstable with growth rate , and waves 2 and 3 are stable with damping 2 and 3, respectively. The dependence of gross dynamical features on the damping model as characterized by the relation between damping and wave-vector ratios, 2 /3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau k and resistive k2, are studied in depth. Very complex dynamics, such as multiple blue sky catastrophes and chaotic attractors arising from Feigenbaum sequences, and explosive bifurcations involving Intermittency-I chaos, are shown to be associated with the existence and loss of stability of certain fixed point P of the flow. Independently of the damping model, P may only exist as against flow contraction just requiring.In the case of right-hand RH polarization, point P may exist for all models other than Landau damping; for the resistive model, P may exist for RH polarization only if 2+3/2. |
Formato |
application/pdf |
Identificador | |
Idioma(s) |
eng |
Publicador |
E.T.S.I. Aeronáuticos (UPM) |
Relação |
http://oa.upm.es/21662/1/A80a.pdf http://scitation.aip.org/content/aip/journal/pop/14/8/10.1063/1.2768513 info:eu-repo/semantics/altIdentifier/doi/10.1063/1.2768513 |
Direitos |
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess |
Fonte |
Physics of Plasmas, ISSN 1070-664X, 2007, Vol. 14 |
Palavras-Chave | #Física #Aeronáutica |
Tipo |
info:eu-repo/semantics/article Artículo NonPeerReviewed |