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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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 27 (1992), 298-303
- MSC (2000): Primary 58F13; Secondary 34C99, 65L99
- DOI: https://doi.org/10.1090/S0273-0979-1992-00327-0
- MathSciNet review: 1161275