RUS  ENG
Full version
JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2003 Volume 134, Number 3, Pages 353–373 (Mi tmf163)

This article is cited 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

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

DOI: 10.4213/tmf163


 English version:
Theoretical and Mathematical Physics, 2003, 134:3, 308–325

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024