Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small Diffusion
Abstract
We study the local dynamics of the Ginzburg-Landau equation with small diffusion
in a neibourhood of running waves. We find necessary conditions of running waves
instability and sufficient conditions of their stability.
in a neibourhood of running waves. We find necessary conditions of running waves
instability and sufficient conditions of their stability.
References
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3. Ахромеева Т.С., Курдюмов С.П., Малинецкий Г.Г., Самарский А.А. Нестационарные структуры и диффузионный хаос. М.: Наука, 1992.
Review
For citations:
Kashchenko A.A. Analysis of Running Waves Stability in the Ginzburg-Landau Equation with Small Diffusion. Modeling and Analysis of Information Systems. 2011;18(3):58-62. (In Russ.)
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