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| Titel |
Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors |
| VerfasserIn |
Y. Saiki |
| 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. 5 ; Nr. 14, no. 5 (2007-09-14), S.615-620 |
| Datensatznummer |
250012277
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| Publikation (Nr.) |
 copernicus.org/npg-14-615-2007.pdf |
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| Zusammenfassung |
| An infinite number of unstable periodic orbits (UPOs) are embedded in
a chaotic system which models some complex phenomenon.
Several algorithms which extract UPOs numerically
from continuous-time chaotic systems have been proposed.
In this article the damped Newton-Raphson-Mees algorithm is reviewed, and
some important techniques and remarks concerning the practical
numerical computations are exemplified by employing the Lorenz system. |
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