A shooting approach to the Lorenz equations
- 1 October 1992
- journal article
- Published by American Mathematical Society (AMS) in Bulletin of the American Mathematical Society
- Vol. 27 (2) , 298-303
- https://doi.org/10.1090/s0273-0979-1992-00327-0
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.Keywords
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