The Global Attractor of the 3D Complex GL Equation and the Estimate of its Dimensionality
In three-dimensional space, by using the method of a priori estimation, we have studied the complex-valued GL equation, which has the 2 -th power of the nonlinear term. We have proved that the existence of the global attractor of this equation with the problem of period and border value, and we have studied the dimensionality of Hausdorff and fractal of the global attractor.
B. T. Li and Z. C. Yuan, "The Global Attractor of the 3D Complex GL Equation and the Estimate of its Dimensionality", Advanced Materials Research, Vols. 588-589, pp. 2051-2054, 2012