Year: 1996
Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 4 : pp. 365–383
Abstract
In this paper, we discretize the generalized Ginzburg-Landau equations with the periodic boundary condition by the finite difference method in spatial direction. It is proved that for each mesh size, there exist at tractors for the discretized systems. The bounds for the Hausdorff dimensions of the discrete attractors are obtained, and the various bounds are independtmt of tho mesh sizes.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1996-JPDE-5634
Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 4 : pp. 365–383
Published online: 1996-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Discretizations: generalized Ginzburg-Landau equation