Hard transition to chaotic dynamics in Alfven wave fronts

Sanmartín Losada, Juan Ramón and López-Rebollal, Óscar and Río, E. del and Elaskar, Sergio (2004). Hard transition to chaotic dynamics in Alfven wave fronts. "Physics of Plasma", v. 11 (n. 5); pp. 2026-2035. ISSN 1070-664X.

Description

Title: Hard transition to chaotic dynamics in Alfven wave fronts
Author/s:
  • Sanmartín Losada, Juan Ramón
  • López-Rebollal, Óscar
  • Río, E. del
  • Elaskar, Sergio
Item Type: Article
Título de Revista/Publicación: Physics of Plasma
Date: 2004
Volume: 11
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 Schrodinger 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 dampings 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 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, with damping less than about unstable wave frequency 2/4 x ion cyclotron frequency. The structural stability of the transition was explored by going into a fully 3-wave model different dampings of daughter waves,four-dimensional flow; both models differ in significant phase-space features but keep common features essential for the transition.

More information

Item ID: 21534
DC Identifier: http://oa.upm.es/21534/
OAI Identifier: oai:oa.upm.es:21534
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 20 Nov 2013 12:17
Last Modified: 21 Apr 2016 12:10
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