Direct solution for the power spectrum of the Lorenz attractor
作者:
P. L. Andrews,
R. E. Waltz,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1988)
卷期:
Volume 31,
issue 11
页码: 3168-3170
ISSN:0031-9171
年代: 1988
DOI:10.1063/1.866926
出版商: AIP
数据来源: AIP
摘要:
A novel method is applied to the Lorenz system that deals directly with the power spectrum of the turbulent solutions. Analytic predictions are produced as to the level of turbulence and the spread in frequency space of the solution that are in good agreement with numerical computations. The method involves manipulation of the Fourier transformed Lorenz equations and their tempered distribution solutions.
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