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Phase diagram of the two-dimensional complex Ginzburg-Landau equation

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  • Chaté, Hugues
  • Manneville, Paul

Abstract

After a brief introduction to the complex Ginzburgh-Landau equation, some of its important features in two space dimensions are reviewed. A comprehensive study of the various phases observed numerically in large systems over the whole parameter space is then presented. The nature of the transitions between these phases is investigated and some theoretical problems linked to the phase diagram are discussed.

Suggested Citation

  • Chaté, Hugues & Manneville, Paul, 1996. "Phase diagram of the two-dimensional complex Ginzburg-Landau equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 348-368.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:1:p:348-368
    DOI: 10.1016/0378-4371(95)00361-4
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    Cited by:

    1. Ivars, Salim B. & Botey, Muriel & Herrero, Ramon & Staliunas, Kestutis, 2023. "Stabilisation of spatially periodic states by non-Hermitian potentials," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Hingis, Y.M. Gifteena & Muthtamilselvan, M., 2024. "Ginzburg–Landau equations for the salt fingering region with the onset of microorganisms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 90-109.
    3. Montagne, Raúl & Brunnet, Leonardo Gregory, 2003. "Dynamic spectral analysis of phase turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 295-304.
    4. Granzow, Glen D. & Riecke, Hermann, 1998. "Ordered and disordered defect chaos," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 27-35.

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