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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.
Title: | Hard transition to chaotic dynamics in Alfven wave fronts |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Physics of Plasma |
Date: | 2004 |
ISSN: | 1070-664X |
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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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.
Item ID: | 21534 |
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DC Identifier: | https://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: | 20 Feb 2023 07:35 |