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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 555–565
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-555-565 (Mi vtamu58) 		 
Scientific articles

On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities

A. N. Pchelintsev

Tambov State Technical University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-555-565
Abstract: In this paper, the author considers the modification of the method of power series for the numerical construction of unstable solutions of systems of ordinary differential equations of chaotic type with quadratic nonlinearities in general form. A region of convergence of series is found and an algorithm for constructing approximate solutions is proposed.
Keywords: chaos, Lorentz system, attractor, power series.
Funding agency Grant number
Russian Foundation for Basic Research 16-07-00801
The work is supported by the Russian Foundation for Basic Research (project № 16-07-00801).
Received: 18.04.2018
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: A. N. Pchelintsev, “On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 555–565
Citation in format AMSBIB
\Bibitem{Pch18}
\by A.~N.~Pchelintsev
\paper On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 555--565
\mathnet{http://mi.mathnet.ru/vtamu58}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-555-565}
\elib{https://elibrary.ru/item.asp?id=36452706}
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