This article is cited in 3 papers

Analytical modeling of processes in stochastic systems with complex fractional order Bessel nonlinearities

I. N. Sinitsyn

Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation

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.

Keywords: 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.

Received: 22.03.2016

DOI: 10.14357/19922264160308

Bibliographic databases:

•