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

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Abstract

The dynamics on the attractor for the complex Ginzburg-Landau equationu t =v(1+iκ)u xx +u-(1+iμ)|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

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Authors and Affiliations

  1. Center for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology, 30332, Atlanta, GA, USA

    Konstantin Mischaikow

  2. Department of Applied Mathematics and Informatics, Faculty of Science and Technology, Ryukoku University, Seta, 520-21, Ohtsu, Japan

    Yoshihisa Morita

Authors
  1. Konstantin Mischaikow
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  2. Yoshihisa Morita
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Additional information

Research was supported in part by NSF Grant DMS-9101412.

Research was supported in part by Human-Science-Religion Research-aid Fund 1991.

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Mischaikow, K., Morita, Y. Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation. Japan J. Indust. Appl. Math. 11, 185–202 (1994). https://doi.org/10.1007/BF03167221

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  • DOI: https://doi.org/10.1007/BF03167221

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