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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Bibliographic Details
Published in:Journal of Differential Equations 1996-05, Vol.127 (1), p.41-53
Main Authors: Hastings, S.P., Troy, W.C.
Format: Article
Language:English
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Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1006/jdeq.1996.0060