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Math. Comput. Appl. 2010, 15(5), 946-952; doi:10.3390/mca15050946

Correlation Properties of Chaos: Cumulant Approach

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.
Received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
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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
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Kontorovich, V.; Lovtchikova, Z.; Ramos-Alarcon, F. Correlation Properties of Chaos: Cumulant Approach. Math. Comput. Appl. 2010, 15, 946-952.

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