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A shooting approach to the Lorenz equations

Stuart P. Hastings·William C. Troy
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Abstract

We announce and outline a proof of the existence of a homoclinic orbit of the Lorenz equations. In addition, we develop a shooting technique and two key conditions, which lead to the existence of a one-to-one correspondence between a set of solutions and the set of all infinite sequences of 1's and 3's.

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Stuart P. Hastings, William C. Troy. 1992-10-01. A shooting approach to the Lorenz equations. https://arxiv.org/abs/math/9210217

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