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Random attractors for a Ginzburg–Landau equation with additive noise

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  • Zhang, Qi

Abstract

The existence of a compact random attractor for the random dynamical system generated by the complex Ginzburg–Landau equation with additive white noise has been proved. And a precise estimate of the upper bound of the Hausdorff dimension of the random attractor is obtained.

Suggested Citation

  • Zhang, Qi, 2009. "Random attractors for a Ginzburg–Landau equation with additive noise," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 463-472.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:463-472
    DOI: 10.1016/j.chaos.2007.03.001
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    References listed on IDEAS

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    1. Lv, Yan & Sun, Jianhua, 2006. "Dynamical behavior for stochastic lattice systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1080-1090.
    2. Buzea, C. Gh. & Agop, M. & Galusca, G. & Vizureanu, P. & Ionita, I., 2007. "El Naschie’s superconductivity in the time dependent Ginzburg–Landau model," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1060-1074.
    3. Mohamadou, Alidou & Jiotsa, A. Kenfack & Kofané, T.C., 2005. "Pattern selection and modulational instability in the one-dimensional modified complex Ginzburg–Landau equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 957-966.
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