Fully 3-wave model to study the hard transition to chaotic dynamics in alfven wave-fronts

Elaskar, Sergio and Sánchez Arriaga, Gonzalo and Sanmartín Losada, Juan Ramón (2005). Fully 3-wave model to study the hard transition to chaotic dynamics in alfven wave-fronts. "Mecánica computacional", v. XXIV ; pp. 2271-2287. ISSN 1666-6070.

Description

Title: Fully 3-wave model to study the hard transition to chaotic dynamics in alfven wave-fronts
Author/s:
  • Elaskar, Sergio
  • Sánchez Arriaga, Gonzalo
  • Sanmartín Losada, Juan Ramón
Item Type: Article
Título de Revista/Publicación: Mecánica computacional
Date: 2005
Volume: XXIV
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a la Ingeniería Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The derivative nonlinear Schrödinger (DNLS) equation, describing propagation of circularly polarized Alfven waves of finite amplitude in a cold plasma, is truncated to explore the coherent, weakly nonlinear coupling of three waves near resonance, one wave being linearly unstable and the other waves damped. No matter how small the growth rate of the unstable wave, the four-dimensional flow for the three wave amplitudes and a relative phase, with both resistive damping and linear Landau damping, exhibits chaotic relaxation oscillations that are absent for zero growth-rate. This hard transition in phase-space behavior occurs for left-hand (LH) polarized waves, paralleling the known fact that only LH time-harmonic solutions of the DNLS equation are modulationally unstable. The parameter domain developing chaos is much broader than the corresponding domain in a reduced 3-wave model that assumes equal dampings of the daughter waves

More information

Item ID: 21672
DC Identifier: http://oa.upm.es/21672/
OAI Identifier: oai:oa.upm.es:21672
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 21 Nov 2013 15:56
Last Modified: 19 Oct 2015 07:40
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