A Shooting Approach to Chaos in the Lorenz Equations
We prove that under certain conditions, the Lorenz equations support a form of chaos. The conditions have been verified for a particular set of parameter values, showing that there is a natural 1:1 correspondence between a set of solutions and the set of all sequences on countably many symbols. The...
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| Veröffentlicht in: | Journal of Differential Equations 1996-05, Vol.127 (1), p.41-53 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove that under certain conditions, the Lorenz equations support a form of chaos. The conditions have been verified for a particular set of parameter values, showing that there is a natural 1:1 correspondence between a set of solutions and the set of all sequences on countably many symbols. The computing required was modest. |
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| ISSN: | 0022-0396 1090-2732 |
| DOI: | 10.1006/jdeq.1996.0060 |