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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 3, Pages 353–373
DOI: https://doi.org/10.4213/tmf163 (Mi tmf163) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Two-Frequency Autowave Processes in the Complex Ginzburg–Landau Equation

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
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DOI: https://doi.org/10.4213/tmf163
Abstract: We study the complex Ginzburg–Landau equation with zero Neumann boundary conditions on a finite interval and establish that this boundary problem (with suitably chosen parameters) has countably many stable two-dimensional self-similar tori. The case of periodic boundary conditions is also investigated.
Keywords: Ginzburg–Landau equation, autowave process, boundary problem, self-similar torus, quasiperiodic solution.
Received: 27.03.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 3, Pages 308–325
DOI: https://doi.org/10.1023/A:1022641203671
Bibliographic databases:
Language: Russian
Citation: A. Yu. Kolesov, N. Kh. Rozov, “Two-Frequency Autowave Processes in the Complex Ginzburg–Landau Equation”, TMF, 134:3 (2003), 353–373; Theoret. and Math. Phys., 134:3 (2003), 308–325
Citation in format AMSBIB
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\paper Two-Frequency Autowave Processes in the Complex Ginzburg--Landau Equation
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\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 3
\pages 308--325
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  • https://www.mathnet.ru/eng/tmf/v134/i3/p353
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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