Two-Frequency Autowave Processes in the Complex Ginzburg–Landau Equation |
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| Authors: | Kolesov A. Yu. Rosov N. Kh. |
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| Affiliation: | (1) Yaroslavl State University, Yaroslavl, Russia;(2) Moscow State University, Moscow, Russia |
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| 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. |
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| Keywords: | Ginzburg– Landau equation autowave process boundary problem self-similar torus quasiperiodic solution |
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