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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Published in:Journal of Differential Equations 1996-05, Vol.127 (1), p.41-53
Main Authors: Hastings, S.P., Troy, W.C.
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Language:English
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container_title Journal of Differential Equations
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creator Hastings, S.P.
Troy, W.C.
description 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.
doi_str_mv 10.1006/jdeq.1996.0060
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title A Shooting Approach to Chaos in the Lorenz Equations
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