Japan Journal of Industrial and Applied Mathematics

, Volume 11, Issue 2, pp 185-202

First online:

Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation

  • Konstantin MischaikowAffiliated withCenter for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology
  • , Yoshihisa MoritaAffiliated withDepartment of Applied Mathematics and Informatics, Faculty of Science and Technology, Ryukoku University

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The dynamics on the attractor for the complex Ginzburg-Landau equationu t =v(1+)u xx +u-(1+)|u| 2 u for parameter values μ≈κ is described via a semiconjugacy onto a simple ordinary differential equation difined on the unit disk inR 2K

Key words

Ginzburg-Landau equation global attractor Morse decomposition model flow