Correlation Properties of Chaos: Cumulant Approach
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Electrical Engineering Department, Communications Section, CINVESTAV-IPN. Av. IPN # 2508, Colonia Zacatenco, C.P. 07360, D.F. México
2
Engineering and Advanced Technology Interdisciplinary Professional Unit. UPIITA-IPN, Av. IPN # 2541, Col Ticoman C.P. 07340, D.F., México
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(5), 946-952; https://doi.org/10.3390/mca15050946
Submission received: 31 December 2010
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Accepted: 31 December 2010
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Published: 31 December 2010
Abstract
The current trend in the statistical analysis of chaos shows certain gaps particularly regarding the engineering applications. This paper, which is a sequel of previous publications from the authors [1-5], develops an application of the cumulant approach to the analysis of the covariance properties of chaotic signals. A general approach for the analysis of two-moment cumulants is considered, particular emphasis is made in the covariance function and the third order cumulant behavior. The cumulant functions of the Lorenz and Chua strange attractors are considered as examples.
Keywords:
Chaos, strange attractors; cumulants; degenerated equations
Share and Cite
MDPI and ACS Style
Kontorovich, V.; Lovtchikova, Z.; Ramos-Alarcon, F. Correlation Properties of Chaos: Cumulant Approach. Math. Comput. Appl. 2010, 15, 946-952. https://doi.org/10.3390/mca15050946
AMA Style
Kontorovich V, Lovtchikova Z, Ramos-Alarcon F. Correlation Properties of Chaos: Cumulant Approach. Mathematical and Computational Applications. 2010; 15(5):946-952. https://doi.org/10.3390/mca15050946
Chicago/Turabian StyleKontorovich, V., Z. Lovtchikova, and F. Ramos-Alarcon. 2010. "Correlation Properties of Chaos: Cumulant Approach" Mathematical and Computational Applications 15, no. 5: 946-952. https://doi.org/10.3390/mca15050946
