2021-04-13T04:28:32Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:21671
2016-10-26T11:23:30Z
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Reduced three-wave model to study the hard transition to chaotic dynamics in Alfven wave-fronts
Elaskar, Sergio
Sanmartín Losada, Juan Ramón
Physics
Aeronautics
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.
E.T.S.I. Aeronáuticos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2004
info:eu-repo/semantics/article
Article
Mecánica computacional, ISSN 1666-6070, 2004, Vol. XXIII
PeerReviewed
application/pdf
spa
info:eu-repo/semantics/openAccess
http://oa.upm.es/21671/