ISSN:
1572-9613
Keywords:
Dynamical systems
;
chaos
;
power-spectrum analysis
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The power spectrum of the variablez in the Lorenz equations with σ=10,b=8/3, andr=200 appeared in previous work to contain a line superposed on a continuum. Analysis of an extended solution into consecutive segments with rather similar initial states, each segment spanning at least seven maxima ofz, shows that the apparent line is actually a narrow band. Solutions spanning at least 14000 maxima ofz would be needed to resolve the band by standard computation procedures. Multiplication of the right side of each equation by the same function can convert the band to a line, while leaving the points of the attractor unchanged. It is proposed that the spectrum of a completely coupled autonomous flow is, in a certain sense, unlikely to contain a superposition of lines and a continuum.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01015722
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