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Chaos in the Lorenz equations: a computer-assisted proof

Konstantin Mischaikow·Marian Mrozek
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Abstract

A new technique for obtaining rigorous results concerning the global dynamics of nonlinear systems is described. The technique combines abstract existence results based on the Conley index theory with computer- assisted computations. As an application of these methods it is proven that for an explicit parameter value the Lorenz equations exhibit chaotic dynamics.

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Konstantin Mischaikow, Marian Mrozek. 1995-01-01. Chaos in the Lorenz equations: a computer-assisted proof. https://arxiv.org/abs/math/9501230

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