Intermittent chaos driven by nonlinear Alfvén waves

We investigate the relevance of chaotic saddles and unstable periodic orbits at the onset of intermittent chaos in the phase dynamics of nonlinear Alfvén waves by using the Kuramoto-Sivashinsky (KS) equation as a model for phase dynamics. We focus on the role of nonattracting chaotic soluti...

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Main Authors: E. L. Rempel, A. C.-L. Chian, A. J. Preto, S. Stephany
Format: Article
Language:English
Published: Copernicus Publications 2004-01-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/11/691/2004/npg-11-691-2004.pdf
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spelling doaj-e55d9d21d08347feae1d58444ba65ec02020-11-25T00:09:18ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462004-01-01115/6691700Intermittent chaos driven by nonlinear Alfvén wavesE. L. RempelA. C.-L. ChianA. J. PretoS. StephanyWe investigate the relevance of chaotic saddles and unstable periodic orbits at the onset of intermittent chaos in the phase dynamics of nonlinear Alfvén waves by using the Kuramoto-Sivashinsky (KS) equation as a model for phase dynamics. We focus on the role of nonattracting chaotic solutions of the KS equation, known as chaotic saddles, in the transition from weak chaos to strong chaos via an interior crisis and show how two of these unstable chaotic saddles can interact to produce the plasma intermittency observed in the strongly chaotic regimes. The dynamical systems approach discussed in this work can lead to a better understanding of the mechanisms responsible for the phenomena of intermittency in space plasmas.http://www.nonlin-processes-geophys.net/11/691/2004/npg-11-691-2004.pdf
collection DOAJ
language English
format Article
sources DOAJ
author E. L. Rempel
A. C.-L. Chian
A. J. Preto
S. Stephany
spellingShingle E. L. Rempel
A. C.-L. Chian
A. J. Preto
S. Stephany
Intermittent chaos driven by nonlinear Alfvén waves
Nonlinear Processes in Geophysics
author_facet E. L. Rempel
A. C.-L. Chian
A. J. Preto
S. Stephany
author_sort E. L. Rempel
title Intermittent chaos driven by nonlinear Alfvén waves
title_short Intermittent chaos driven by nonlinear Alfvén waves
title_full Intermittent chaos driven by nonlinear Alfvén waves
title_fullStr Intermittent chaos driven by nonlinear Alfvén waves
title_full_unstemmed Intermittent chaos driven by nonlinear Alfvén waves
title_sort intermittent chaos driven by nonlinear alfvén waves
publisher Copernicus Publications
series Nonlinear Processes in Geophysics
issn 1023-5809
1607-7946
publishDate 2004-01-01
description We investigate the relevance of chaotic saddles and unstable periodic orbits at the onset of intermittent chaos in the phase dynamics of nonlinear Alfvén waves by using the Kuramoto-Sivashinsky (KS) equation as a model for phase dynamics. We focus on the role of nonattracting chaotic solutions of the KS equation, known as chaotic saddles, in the transition from weak chaos to strong chaos via an interior crisis and show how two of these unstable chaotic saddles can interact to produce the plasma intermittency observed in the strongly chaotic regimes. The dynamical systems approach discussed in this work can lead to a better understanding of the mechanisms responsible for the phenomena of intermittency in space plasmas.
url http://www.nonlin-processes-geophys.net/11/691/2004/npg-11-691-2004.pdf
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