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Initial behavior of solutions to the lorenz equations

✍ Scribed by Wladyslaw Fiszdon; Mihir Sen


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
959 KB
Volume
23
Category
Article
ISSN
0020-7462

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A computer proof that the Lorenz equatio
✍ B. Hassard; J. Zhang; S.P. Hastings; W.C. Troy πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 457 KB

we describe a computerized proof, using methods of interval arithmetic and recent results of the authors, that the Lorenz equations support a form of chaos. We need to integrate fewer than 550 solutions of the equations numerically, compared with 700,000 for another recent result of this type.