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| Titel |
Delay coordinates: a sensitive indicator of nonlinear dynamics in single charged particle motion in magnetic reversals |
| VerfasserIn |
S. C. Chapman, N. W. Watkins |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
0992-7689
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| Digitales Dokument |
URL |
| Erschienen |
In: Annales Geophysicae ; 13, no. 8 ; Nr. 13, no. 8, S.836-842 |
| Datensatznummer |
250011957
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| Publikation (Nr.) |
 copernicus.org/angeo-13-836-1995.pdf |
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| Zusammenfassung |
| The delay coordinate technique is examined as
an indicator of the regime of particle dynamics for the system of single charged
particle motion in magnetic reversals. Examples of numerically integrated
trajectories in both static (zero electric field) and time dependent
(corresponding nonzero induction electric field) simple models for magnetic
reversals are considered. In the static case, the dynamics can in principle be
directly classified by constructing Poincaré surfaces of section; here we
demonstrate that whilst the Poincaré surface contains the relevant information
to classify the dynamics, the corresponding delay coordinate plot can provide a
far more sensitive indication of the onset of nonregular behaviour. In the case
of nonperiodic time dependence considered here Poincaré plots cannot in general
be constructed directly. Nevertheless, delay coordinate plots can still reveal
details of the phase space portrait of the system, and here are shown to
indicate whether segments of stochastic motion exist in a given trajectory. It
is anticipated that the delay coordinate plot technique as realized here will be
a valuable tool in characterizing the behaviour in large numbers of trajectories
that are evolved in time-dependent systems, thereby giving us insight into the
evolution of the distribution function as a whole, either in prescribed fields
or in self-consistent numerical simulations. |
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