Sudden transition to chaos in plasma wave interactions

López Rebollal, Óscar and Sanmartín Losada, Juan Ramón and Río, E. del (1998). Sudden transition to chaos in plasma wave interactions. "Physics of Plasmas", v. 5 (n. 8); pp. 2861-2867. ISSN 10707674.

Description

Title: Sudden transition to chaos in plasma wave interactions
Author/s:
  • López Rebollal, Óscar
  • Sanmartín Losada, Juan Ramón
  • Río, E. del
Item Type: Article
Título de Revista/Publicación: Physics of Plasmas
Date: August 1998
ISSN: 10707674
Volume: 5
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 coherent three-wave interaction, with linear growth in the higher frequency wave and damping in the two other waves, is reconsidered; for equal dampings, the resulting three-dimensional (3-D) flow of a relative phase and just two amplitudes behaved chaotically, no matter how small the growth of the unstable wave. The general case of different dampings is studied here to test whether, and how, that hard scenario for chaos is preserved in passing from 3-D to four-dimensional flows. It is found that the wave with higher damping is partially slaved to the other damped wave; this retains a feature of the original problem an invariant surface that meets an unstable fixed point, at zero growth rate! that gave rise to the chaotic attractor and determined its structure, and suggests that the sudden transition to chaos should appear in more complex wave interactions.

More information

Item ID: 22173
DC Identifier: http://oa.upm.es/22173/
OAI Identifier: oai:oa.upm.es:22173
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 23 Jan 2014 16:41
Last Modified: 21 Apr 2016 13:54
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