Geodesic
Two-Frequency Autowave Processes in the Complex Ginzburg--Landau Equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 353-373

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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
Mots-clés : quasiperiodic solution. 
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     author = {A. Yu. Kolesov and N. Kh. Rozov},
     title = {Two-Frequency {Autowave} {Processes} in the {Complex} {Ginzburg--Landau} {Equation}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {353--373},
     publisher = {mathdoc},
     volume = {134},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_134_3_a2/}
}
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A. Yu. Kolesov; N. Kh. Rozov. Two-Frequency Autowave Processes in the Complex Ginzburg--Landau Equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 353-373. http://geodesic.mathdoc.fr/item/TMF_2003_134_3_a2/