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...
Main Authors: | , , , |
---|---|
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 |
id |
doaj-e55d9d21d08347feae1d58444ba65ec0 |
---|---|
record_format |
Article |
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 |
work_keys_str_mv |
AT elrempel intermittentchaosdrivenbynonlinearalfvenwaves AT aclchian intermittentchaosdrivenbynonlinearalfvenwaves AT ajpreto intermittentchaosdrivenbynonlinearalfvenwaves AT sstephany intermittentchaosdrivenbynonlinearalfvenwaves |
_version_ |
1725412728339693568 |