Informatics and Applications
2016, Volume 10, Issue 3, pp 55-65
ANALYTICAL MODELING OF PROCESSES IN STOCHASTIC SYSTEMS WITH COMPLEX FRACTIONAL ORDER BESSEL NONLINEARITIES
Abstract
Methods of analytical modeling for normal (Gaussian) processes in Gaussian and non-Gaussian stochastic systems with complex fractional order Bessel nonlinearities (spherical, modificated spherical, and Airy) are developed. Necessary information about Bessel fractional order functions is given. Coefficients of statistical linearization for typical fractional order Bessel nonlinearities are presented. Special attention is paid to the series algorithms. Analytical modeling algorithms have been developed for nonstationary and stationary normal processes. Test examples are presented. Main conclusions and generalizations are mentioned.
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[+] About this article
Title
ANALYTICAL MODELING OF PROCESSES IN STOCHASTIC SYSTEMS WITH COMPLEX FRACTIONAL ORDER BESSEL NONLINEARITIES
Journal
Informatics and Applications
2016, Volume 10, Issue 3, pp 55-65
Cover Date
2016-08-30
DOI
10.14357/19922264160308
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
Airy nonlinearity; Bessel function of fractional order; Bessel nonlinearity; method of analytical modeling; method of normal approximation; method of statistical linearization; modificated spherical Bessel function; normal (Gaussian) process; spherical Bessel function; stochastic process
Authors
I.N. Sinitsyn 
Author Affiliations
Institute of Informatics Problems, Federal Research Center “Computer Sciences and Control” of the Russian
Academy of Sciences, 44-2 Vavilov Str.,Moscow 119333, Russian Federation
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