Chaos in the Lorenz equations: a computer-assisted proof

Preprint

1 January 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9501230

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.

Keywords

DYNAMICS OF NONLINEAR SYSTEMS
COMPUTER ASSISTED
NONLINEAR SYSTEMS
LORENZ EQUATIONS
ASSISTED PROOF
NEW TECHNIQUE
CHAOS

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Version 1, 1995-01-01, ArXiv

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