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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.
Title: | Reduced three-wave model to study the 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: | 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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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.
Item ID: | 21671 |
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DC Identifier: | https://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: | 20 Feb 2023 07:25 |