Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 148, Pages 83–92 (Mi into306)  
This article is cited in 5 scientific papers (total in 5 papers)

Cycles of the First Kind of Systems with Cylindrical Phase Space

S. S. Mamonov, A. O. Kharlamova

Ryazan State University named for S. A. Esenin
Full-text PDF (201 kB) Citations (5)
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Abstract: In this paper, we consider a system of differential equations with a cylindrical phase space, which is a mathematical model of a frequency-phase self-tuning system. Conditions for the existence of a limit cycle of the first kind are obtained.
Keywords: limit cycle of the first kind, cylindrical phase space, positively invariant set, toroidal set.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 248, Issue 4, Pages 457–466
DOI: https://doi.org/10.1007/s10958-020-04886-y
Bibliographic databases:
Document Type: Article
UDC: 517.925.51
MSC: 34K05, 34K13, 34K60
Language: Russian
Citation: S. S. Mamonov, A. O. Kharlamova, “Cycles of the First Kind of Systems with Cylindrical Phase Space”, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148, VINITI, M., 2018, 83–92; J. Math. Sci. (N. Y.), 248:4 (2020), 457–466
Citation in format AMSBIB
\Bibitem{MamKha18}
\by S.~S.~Mamonov, A.~O.~Kharlamova
\paper Cycles of the First Kind of Systems with Cylindrical Phase Space
\inbook Proceedings of the International Conference ``Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,'' Ryazan, September 15--18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 148
\pages 83--92
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into306}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3847711}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 248
\issue 4
\pages 457--466
\crossref{https://doi.org/10.1007/s10958-020-04886-y}
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    • 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
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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