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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2018, Volume 44, Issue 9, Pages 19–25
DOI: https://doi.org/10.21883/PJTF.2018.09.46061.17167 (Mi pjtf5814) 		 
This article is cited in 9 scientific papers (total in 9 papers)

A method for calculating the spectrum of Lyapunov exponents for delay systems

A. D. Koloskova, O. I. Moskalenko, A. A. Koronovskii

Saratov State University
Full-text PDF (279 kB) Citations (9)
DOI: https://doi.org/10.21883/PJTF.2018.09.46061.17167
Abstract: A method for calculating the spectrum of Lyapunov exponents for delay systems is proposed. To validate the method, a delayed-feedback oscillator and the Mackay–Glass equation are considered as model systems. For both systems, bifurcation diagrams and spectra of Lyapunov exponents are constructed as functions of one of the control parameters. The results are shown to be in good agreement with each other, which indicates the efficacy of the proposed method.
Funding agency Grant number
Russian Science Foundation 14-12-00224
Received: 28.12.2017
English version:
Technical Physics Letters, 2018, Volume 44, Issue 5, Pages 374–377
DOI: https://doi.org/10.1134/S1063785018050085
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. D. Koloskova, O. I. Moskalenko, A. A. Koronovskii, “A method for calculating the spectrum of Lyapunov exponents for delay systems”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 44:9 (2018), 19–25; Tech. Phys. Lett., 44:5 (2018), 374–377
Citation in format AMSBIB
\Bibitem{KolMosKor18}
\by A.~D.~Koloskova, O.~I.~Moskalenko, A.~A.~Koronovskii
\paper A method for calculating the spectrum of Lyapunov exponents for delay systems
\jour Pisma v Zhurnal Tekhnicheskoi Fiziki
\yr 2018
\vol 44
\issue 9
\pages 19--25
\mathnet{http://mi.mathnet.ru/pjtf5814}
\crossref{https://doi.org/10.21883/PJTF.2018.09.46061.17167}
\elib{https://elibrary.ru/item.asp?id=32740272}
\transl
\jour Tech. Phys. Lett.
\yr 2018
\vol 44
\issue 5
\pages 374--377
\crossref{https://doi.org/10.1134/S1063785018050085}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Pisma v Zhurnal Tekhnicheskoi Fiziki Pisma v Zhurnal Tekhnicheskoi Fiziki
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