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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Correlation Properties of Chaos: Cumulant Approach

by
V. Kontorovich
1,*,
Z. Lovtchikova
2,* and
F. Ramos-Alarcon
1
1
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 / Accepted: 31 December 2010 / Published: 31 December 2010
Versions Notes

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 Chaos, strange attractors; cumulants; degenerated equations

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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 Style

Kontorovich, 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

APA Style

Kontorovich, V., Lovtchikova, Z., & Ramos-Alarcon, F. (2010). Correlation Properties of Chaos: Cumulant Approach. Mathematical and Computational Applications, 15(5), 946-952. https://doi.org/10.3390/mca15050946

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