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Ufa Mathematical Journal, 2014, Volume 6, Issue 1, Pages 80–89
DOI: https://doi.org/10.13108/2014-6-1-80 (Mi ufa235) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Limiting cycles of piece-linear second order differential equations

E. M. Mukhamsdieva, I. D. Nurovb, M. Sh. Khalilovac

a Vologda State Technical University, Vologda, Russia
b Russian-Tajik Slavonic University, Dushanbe, Tadzhikistan
c Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, Dushanbe, Tadzhikistan
English version PDF (183 kB) Citations (3)
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DOI: https://doi.org/10.13108/2014-6-1-80
Abstract: The work is devoted to finding limiting cycles in a vicinity of equilibria of non-smooth dynamical systems. We obtain new phase portraits not appearing in a linear case. We employ the method of gluing solutions in two half-planes. Together with using standard packages, we develop a new program package for numerical construction of phase portraits.
Keywords: dynamical systems, non-smoothness, stability, phase plane, limiting cycle.
Received: 01.06.2013
Russian version:
Ufimskii Matematicheskii Zhurnal, 2014, Volume 6, Issue 1, Pages 84–93
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 37G15, 34C05
Language: English
Original paper language: Russian
Citation: E. M. Mukhamsdiev, I. D. Nurov, M. Sh. Khalilova, “Limiting cycles of piece-linear second order differential equations”, Ufimsk. Mat. Zh., 6:1 (2014), 84–93; Ufa Math. J., 6:1 (2014), 80–89
Citation in format AMSBIB
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\paper Limiting cycles of piece-linear second order differential equations
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\vol 6
\issue 1
\pages 84--93
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\elib{https://elibrary.ru/item.asp?id=21290429}
\transl
\jour Ufa Math. J.
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\pages 80--89
\crossref{https://doi.org/10.13108/2014-6-1-80}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928184256}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Abstract page:475
    Russian version PDF:220
    English version PDF:13
    References:61
     
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