2019-11-18T11:50:43Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:21672
2015-10-19T07:40:26Z
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Fully 3-wave model to study the hard transition to chaotic dynamics in alfven wave-fronts
Elaskar, Sergio
Sánchez Arriaga, Gonzalo
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 coupling of three waves near resonance, one wave being linearly unstable and the other waves damped. No matter how small the growth rate of the unstable wave, the four-dimensional flow for the three wave amplitudes and a relative phase, with both resistive damping and linear Landau damping, exhibits 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. The parameter domain developing chaos is much broader than the corresponding domain in a reduced 3-wave model that assumes equal dampings
of the daughter waves
E.T.S.I. Aeronáuticos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2005
info:eu-repo/semantics/article
Article
Mecánica computacional, ISSN 1666-6070, 2005, Vol. XXIV
PeerReviewed
application/pdf
spa
info:eu-repo/semantics/openAccess
http://oa.upm.es/21672/