A shooting approach to the Lorenz equations

Hastings, S. P.; Troy, W. C.

doi:10.1090/S0273-0979-1992-00327-0

A shooting approach to the Lorenz equations
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by S. P. Hastings and W. C. Troy PDF

Bull. Amer. Math. Soc. 27 (1992), 298-303 Request permission

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.

References

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Deterministic non-periodic flow

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