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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 2, Pages 254–275
DOI: https://doi.org/10.4213/tmf8692 (Mi tmf8692) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Buffering effect in continuous chains of unidirectionally coupled generators

S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb

a Demidov Yaroslavl State University, Yaroslavl, Russia
b Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (519 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf8692
Abstract: We propose a mathematical model of a continuous annular chain of unidirectionally coupled generators given by some nonlinear advection-type hyperbolic boundary value problem. Such problems are constructed by a limit transition from annular chains of unidirectionally coupled ordinary differential equations with an unbounded increase in the number of links. We find that a certain buffering phenomenon is realized in our boundary value problem. Namely, we show that any preassigned finite number of stable periodic motions of the traveling-wave type can coexist in the model.
Keywords: continuous chain of unidirectionally coupled generators, buffering, traveling wave, asymptotic form, stability.
Received: 03.04.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 2, Pages 1349–1366
DOI: https://doi.org/10.1007/s11232-014-0217-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffering effect in continuous chains of unidirectionally coupled generators”, TMF, 181:2 (2014), 254–275; Theoret. and Math. Phys., 181:2 (2014), 1349–1366
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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