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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 140, Number 1, Pages 14–28
DOI: https://doi.org/10.4213/tmf79 (Mi tmf79) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Optical Buffering and Mechanisms for Its Occurrence

A. Yu. Kolesova, N. Kh. Rozovb

a P. G. Demidov Yaroslavl State University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (258 kB) Citations (15)
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DOI: https://doi.org/10.4213/tmf79
Abstract: We investigate a mathematical nonlinear-optics model that is a scalar parabolic equation on a circle with a small diffusion coefficient and a deviating spatial argument. We establish that the problem under consideration is characterized by the so-called buffering phenomenon, i.e.under an appropriate choice of the parameters, the coexistence of an arbitrary fixed number of time-periodic stable solutions of the problem can be obtained. We reveal the mechanisms for the occurrence of this phenomenon.
Keywords: boundary problem, bifurcation, buffering, traveling waves, quasinormal form, Ginzburg–Landau equation.
Received: 04.07.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 140, Issue 1, Pages 905–917
DOI: https://doi.org/10.1023/B:TAMP.0000033028.08598.67
Bibliographic databases:
Language: Russian
Citation: A. Yu. Kolesov, N. Kh. Rozov, “Optical Buffering and Mechanisms for Its Occurrence”, TMF, 140:1 (2004), 14–28; Theoret. and Math. Phys., 140:1 (2004), 905–917
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 905--917
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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