Analytic form of the simplest limit cycle in the Lorenz model

T. Shimizu

Physica A: Statistical Mechanics and its Applications, 1979, vol. 97, issue 2, 383-398

Abstract: 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.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:97:y:1979:i:2:p:383-398

DOI: 10.1016/0378-4371(79)90113-4

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