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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

A shooting approach to the Lorenz equations


Authors: S. P. Hastings and W. C. Troy
Journal: Bull. Amer. Math. Soc. 27 (1992), 298-303
MSC (2000): Primary 58F13; Secondary 34C99, 65L99
MathSciNet review: 1161275
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1992-00327-0
PII: S 0273-0979(1992)00327-0
Article copyright: © Copyright 1992 American Mathematical Society