Systems and Means of Informatics
2019, Volume 29, Issue 1, pp 109-127
ANALYTICAL MODELING OF PROCESSES IN VOLTERRA STOCHASTIC SYSTEMS BY THE CANONICAL EXPANSIONS METHOD
- I. N. Sinitsyn
- V. I. Sinitsyn
Abstract
On the basis of the stochastic canonical expansions (StCE) theory, approximate nonlinear correlational methods and algorithms for analytical modeling of additive and parametric harmonic, quasi-harmonic, and wideband noises in generalized Volterra stochastic systems (VStS) are developed. The elements of StCE are given. The stochastic Volterra problem "Preys and Victims" with one trophical level is investigated in detail. Special attention is paid to test examples for one- and two-dimensional VStS with additive and parametric harmonic, quasi-harmonic, and wideband noises.
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[+] About this article
Title
ANALYTICAL MODELING OF PROCESSES IN VOLTERRA STOCHASTIC SYSTEMS BY THE CANONICAL EXPANSIONS METHOD
Journal
Systems and Means of Informatics
Volume 29, Issue 1, pp 109-127
Cover Date
2019-03-30
DOI
10.14357/08696527190110
Print ISSN
0869-6527
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
analytical modeling; harmonic, quasi-harmonic, and wideband noises; method of stochastic canonical expansions (StCE); method of normal approximation (MNA); method of slow-changing amplitudes (MSCA); method of statistical linearization (MSL); Volterra stochastic systems (VStS)
Authors
I. N. Sinitsyn  and V. I. Sinitsyn
Author Affiliations
Institute of Informatics Problems, Federal Research Center "Computer Science
and Control", Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
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