Damping models in the truncated derivative nonlinear Schrödinger equation

Sánchez Arriaga, Gonzalo; Sanmartín Losada, Juan Ramón y Elaskar, Sergio (2007). Damping models in the truncated derivative nonlinear Schrödinger equation. "Physics of Plasmas", v. 14 ; p. 82108. ISSN 1070-664X. https://doi.org/10.1063/1.2768513 .

Descripción

Título: Damping models in the truncated derivative nonlinear Schrödinger equation
Autor/es:
  • Sánchez Arriaga, Gonzalo
  • Sanmartín Losada, Juan Ramón
  • Elaskar, Sergio
Tipo de Documento: Artículo
Título de Revista/Publicación: Physics of Plasmas
Fecha: 2007
Volumen: 14
Materias:
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Física Aplicada a la Ingeniería Aeronáutica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 21662
Identificador DC: http://oa.upm.es/21662/
Identificador OAI: oai:oa.upm.es:21662
Identificador DOI: 10.1063/1.2768513 
URL Oficial: http://scitation.aip.org/content/aip/journal/pop/14/8/10.1063/1.2768513
Depositado por: Biblioteca ETSI Aeronauticos
Depositado el: 21 Nov 2013 09:07
Ultima Modificación: 01 Dic 2016 13:22
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