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Volume 9, Issue 4
Attractors and Dimensions for Discretizations of a Generalized Ginzburg-Landau Equation

Boling Guo & Qianshun Chang

J. Part. Diff. Eq., 9 (1996), pp. 365-383.

Published online: 1996-09

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  • 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.
  • Keywords

Discretizations: generalized Ginzburg-Landau equation attractors

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COPYRIGHT: © Global Science Press

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@Article{JPDE-9-365, author = {Boling Guo and Qianshun Chang }, title = {Attractors and Dimensions for Discretizations of a Generalized Ginzburg-Landau Equation}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {4}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5634.html} }
TY - JOUR T1 - Attractors and Dimensions for Discretizations of a Generalized Ginzburg-Landau Equation AU - Boling Guo & Qianshun Chang JO - Journal of Partial Differential Equations VL - 4 SP - 365 EP - 383 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5634.html KW - Discretizations: generalized Ginzburg-Landau equation KW - attractors AB - 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.
Boling Guo and Qianshun Chang . (1996). Attractors and Dimensions for Discretizations of a Generalized Ginzburg-Landau Equation. Journal of Partial Differential Equations. 9 (4). 365-383. doi:
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