Bulletin of the American Mathematical Society

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ISSN 1088-9485(e) ISSN 0273-0979(p)

A shooting approach to the Lorenz equations

Author(s): S. P. Hastings; 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.

References:

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