Informatika i Ee Primeneniya [Informatics and its Applications]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Inform. Primen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Informatika i Ee Primeneniya [Informatics and its Applications], 2015, Volume 9, Issue 4, Pages 37–47
DOI: https://doi.org/10.14357/19922264150404 (Mi ia390) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Analytical modeling of processes in dynamical systems with cylindric 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
Full-text PDF (226 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.14357/19922264150404
Abstract: Methods of analytical modeling (MAM) for processes in dynamical systems with complex Bessel nonlinearities with harmonically and stochastically wide and narrow band disturbances are given. Neccessary elements of the cylindric Bessel functions theory and complex Bessel nonlinearities are presented. Methodological and algorithmical support for MAM based on the statistical linearization method (SLM) and the normal approximation method for wide-band stochastic processes (white noise) is developed. Pecularities of MAM for harmonical and narrow band stochastic processes are discussed. Test examples of one-dimensional systems with additive and multiplicative noises and Bessel nonlinearities and for Bessel oscillator with various disturbances are given. Conclusions and some generalizations are mentioned.
Keywords: Bessel nonliearity; Bessel oscillator; complex Bessel nonlinearity; Gibbs formula; harmonical process; Kummer function; method of analytical modeling; narrow band stochastic processes; normal approximation method (NAM); statistical linearization method (SLM); stochastic system on manifold (MStS); white noise; wide band stochastic process.
Funding agency Grant number
Russian Foundation for Basic Research 15-07-02244
The work was supported by the Russian Foundation for Basic Research (project 15-07-02244).
Received: 13.08.2015
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. N. Sinitsyn, “Analytical modeling of processes in dynamical systems with cylindric Bessel nonlinearities”, Inform. Primen., 9:4 (2015), 37–47
Citation in format AMSBIB
\Bibitem{Sin15}
\by I.~N.~Sinitsyn
\paper Analytical modeling of processes in dynamical systems with cylindric Bessel nonlinearities
\jour Inform. Primen.
\yr 2015
\vol 9
\issue 4
\pages 37--47
\mathnet{http://mi.mathnet.ru/ia390}
\crossref{https://doi.org/10.14357/19922264150404}
\elib{https://elibrary.ru/item.asp?id=25133767}
Linking options:
  • https://www.mathnet.ru/eng/ia390
  • https://www.mathnet.ru/eng/ia/v9/i4/p37
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Информатика и её применения
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024