DocumentCode
3037532
Title
Cumulant Analysis of Rössler Attractor: Analytical Study
Author
Beltran, L.A. ; Kontorovich, V. ; Lovtchikova, Z.
Author_Institution
Electr. Eng. Dept., CINVESTAV-IPN, Mexico City
fYear
2008
fDate
Sept. 30 2008-Oct. 3 2008
Firstpage
586
Lastpage
591
Abstract
This paper is dedicated to the cumulant analysis of the Rossler attractor, based on the so-called "degenerate cumulant equations method." The approach is ilustrated by the calculus of the first cumulants, which are necessary to create an approximation of the probability density function (PDF), applying the Gramm-Charlier series, the model distribution method, etc. An approximate method for the variance calculation at the output of the Rossler strange attractor is shown.
Keywords
approximation theory; higher order statistics; Gramm-Charlier series; Rossler attractor; approximate method; cumulant analysis; cumulant equations method; probability density function; Automotive engineering; Calculus; Chaotic communication; Equations; Interference; Probability density function; Robots; Shape; Statistical analysis; Telephony; Cumulants; Rossler attractor; cumulant brackets; kurtosis; variance;
fLanguage
English
Publisher
ieee
Conference_Titel
Electronics, Robotics and Automotive Mechanics Conference, 2008. CERMA '08
Conference_Location
Morelos
Print_ISBN
978-0-7695-3320-9
Type
conf
DOI
10.1109/CERMA.2008.34
Filename
4641136
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