Reduced three-wave model to study the hard transition to chaotic dynamics in Alfven wave-fronts

Elaskar, Sergio and Sanmartín Losada, Juan Ramón (2004). Reduced three-wave model to study the hard transition to chaotic dynamics in Alfven wave-fronts. "Mecánica computacional", v. XXIII ; pp. 2461-2476. ISSN 1666-6070.

Description

Title: Reduced three-wave model to study the hard transition to chaotic dynamics in Alfven wave-fronts
Author/s:
  • Elaskar, Sergio
  • Sanmartín Losada, Juan Ramón
Item Type: Article
Título de Revista/Publicación: Mecánica computacional
Date: 2004
ISSN: 1666-6070
Volume: XXIII
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, cubic coupling of three waves near resonance, one wave being linearly unstable and the other waves damped. In a reduced three-wave model (equal damping of daughter waves, three-dimensional flow for two wave amplitudes and one relative phase), no matter how small the growth rate of the unstable wave there exists a parametric domain with the flow exhibiting chaotic dynamics that is absent for zero growth-rate. This hard transition in phase-space behavior occurs for left-hand (LH) polarized waves, paralelling the known fact that only LH time-harmonic solutions of the DNLS equation are modulationally unstable.

More information

Item ID: 21671
DC Identifier: http://oa.upm.es/21671/
OAI Identifier: oai:oa.upm.es:21671
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 21 Nov 2013 15:56
Last Modified: 26 Oct 2016 11:23
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