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
fDate :
Sept. 30 2008-Oct. 3 2008
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;
Conference_Titel :
Electronics, Robotics and Automotive Mechanics Conference, 2008. CERMA '08
Conference_Location :
Morelos
Print_ISBN :
978-0-7695-3320-9
DOI :
10.1109/CERMA.2008.34
