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Analytic form of the simplest limit cycle in the Lorenz model

A method to obtain the analytic form of limit cycles is presented from a viewpoint of constants of motion in dissipative systems. The method is applied to the Lorenz equation in the high-Rayleigh-number limit. The analytic form of the simplest limit cycle is obtained, which is in a good agreement with the result of computer simulation.
Year of publication:
1979
Authors: Shimizu, T.
Published in:
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 97.1979, 2, p. 383-398
Publisher: Elsevier
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10010584807
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