Damping models in the truncated derivative nonlinear Schrödinger equation


Autoria(s): Sánchez Arriaga, Gonzalo; Sanmartín Losada, Juan Ramón; Elaskar, Sergio
Data(s)

2007

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

http://oa.upm.es/21662/

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