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| Titel |
Chaos in driven Alfvén systems: unstable periodic orbits and chaotic saddles |
| VerfasserIn |
A. C.-L. Chian, W. M. Santana, E. L. Rempel, F. A. Borotto, T. Hada, Y. Kamide |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 14, no. 1 ; Nr. 14, no. 1 (2007-01-24), S.17-29 |
| Datensatznummer |
250012124
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| Publikation (Nr.) |
 copernicus.org/npg-14-17-2007.pdf |
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| Zusammenfassung |
| The chaotic dynamics of Alfvén waves in space plasmas governed by
the derivative nonlinear Schrödinger equation, in
the low-dimensional limit described by stationary spatial solutions,
is studied. A bifurcation diagram is constructed, by varying the
driver amplitude, to identify a number of nonlinear dynamical processes
including saddle-node bifurcation, boundary crisis, and interior crisis.
The roles played by unstable periodic orbits and chaotic saddles in these
transitions are analyzed, and the conversion from a chaotic saddle to
a chaotic attractor in these dynamical processes is demonstrated. In
particular, the phenomenon of gap-filling in the chaotic transition
from weak chaos to strong chaos via an interior crisis is investigated.
A coupling unstable periodic orbit created by an explosion, within the
gaps of the chaotic saddles embedded in a chaotic attractor following
an interior crisis, is found numerically. The gap-filling unstable periodic
orbits are responsible for coupling the banded chaotic saddle (BCS) to the
surrounding chaotic saddle (SCS), leading to crisis-induced intermittency.
The physical relevance of chaos for Alfvén intermittent turbulence observed in
the solar wind is discussed. |
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