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Matematicheskoe modelirovanie, 1996, Volume 8, Number 1, Pages 93–102 (Mi mm1533)  
This article is cited in 10 scientific papers (total in 10 papers)

Computational methods and algorithms

On a certain model hyperbolic equation arising in radiophysics

V. F. Kambulov, A. Yu. Kolesov

P. G. Demidov Yaroslavl State University
Full-text PDF (880 kB) Citations (10)
Abstract: The model hyperbolic equation, describing the dynamic effects arising through transition from nonresonance to resonance case in nonlinear telegraph equation, is derived on the base of certain applied problem (RCLG-autogenerator mathematical model) analysis. The explanation of auto-oscillation destruction, which is observed in experiments, is provided as well.
Received: 09.02.1995
Bibliographic databases:
Language: Russian
Citation: V. F. Kambulov, A. Yu. Kolesov, “On a certain model hyperbolic equation arising in radiophysics”, Mat. Model., 8:1 (1996), 93–102
Citation in format AMSBIB
\Bibitem{KamKol96}
\by V.~F.~Kambulov, A.~Yu.~Kolesov
\paper On a~certain model hyperbolic equation arising in radiophysics
\jour Mat. Model.
\yr 1996
\vol 8
\issue 1
\pages 93--102
\mathnet{http://mi.mathnet.ru/mm1533}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1399451}
\zmath{https://zbmath.org/?q=an:0993.78504}
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  • https://www.mathnet.ru/eng/mm1533
  • https://www.mathnet.ru/eng/mm/v8/i1/p93
    • This publication is cited in the following 10 articles:
    1. Kyrylych V.M., Firman T.I., “Problem Without Initial Conditions for a Countable System of Semilinear Hyperbolic Equations of the First Order”, Ukr. Math. J., 68:8 (2017), 1192–1207  crossref  mathscinet  isi  scopus
    2. A. Yu. Kolesov, N. Kh. Rozov, “The buffer phenomenon in a mathematical model of the van der Pol self-oscillator with distributed parameters”, Izv. Math., 65:3 (2001), 485–501  mathnet  crossref  crossref  mathscinet  zmath  elib
    3. A. Yu. Kolesov, N. Kh. Rozov, “The Bufferness Phenomenon in the RCLG Seft-excited Oscillator: Theoretical Analysis and Experiment Results”, Proc. Steklov Inst. Math., 233 (2001), 143–196  mathnet  mathscinet  zmath
    4. Kambulov, VF, “A model for a distributed LCR self-oscillator inductively coupled with a transmission-line section”, Journal of Communications Technology and Electronics, 46:8 (2001), 927  isi
    5. Kambulov, VF, “Bifurcation of self-oscillations in a LCR-self-excited oscillator with distributed parameters of feedback channels”, Izvestiya Vysshikh Uchebnykh Zavedenii Radioelektronika, 44:5–6 (2001), A48  isi
    6. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “The buffer property in resonance systems of non-linear hyperbolic equations”, Russian Math. Surveys, 55:2 (2000), 297–321  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    7. Kambulov, VF, “On the phenomenon of a high-mode bufferness in one resonance hyperbolic boundary value problem from radiophysics”, Doklady Akademii Nauk, 366:5 (1999), 613  mathnet  mathscinet  zmath  isi
    8. Kambulov, VF, “A number of bifurcating auto-oscillations in LCRG generators in feedback circuits”, Izvestiya Vysshikh Uchebnykh Zavedenii Radioelektronika, 42:5–6 (1999), 41  isi
    9. Kolesov A.Y., Rozov N.K., “Autooscillations in an RCLG-line with small distortions”, Differential Equations, 34:11 (1998), 1561–1564  mathnet  mathscinet  zmath  isi
    10. Kambulov V.F., Kolesov A.Y., Rozov N.K., “Theoretical and experimental analysis of the buffer phenomenon in a long line with tunnel diode”, Differential Equations, 33:5 (1997), 641–648  mathnet  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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