DocumentCode
479310
Title
Dimension of Global Attractor for Strongly Damped and Driven Lattice Systems
Author
Hong-Yan Li ; Zhong Wu ; Yuming Wang
Author_Institution
Sch. of Manage. Studies, Shanghai Univ. of Eng. Sci., Shanghai
fYear
2008
fDate
12-14 Oct. 2008
Firstpage
1
Lastpage
4
Abstract
In this paper, the upper bound of the Hausdorff dimension of a global attractor for the discretized strongly damped and driven wave equation under the Neumann and periodic boundary condition is studied for any space dimension. We show the obtained Hausdorff dimension is independent of the mesh size k and keeps bounded for large strongly damping.
Keywords
algebra; Hausdorff dimension; Neumann-periodic boundary condition; driven lattice systems; driven wave equation; global attractor dimension; Boundary conditions; Damping; Difference equations; Engineering management; Finite difference methods; Josephson junctions; Lattices; Niobium; Partial differential equations; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Wireless Communications, Networking and Mobile Computing, 2008. WiCOM '08. 4th International Conference on
Conference_Location
Dalian
Print_ISBN
978-1-4244-2107-7
Electronic_ISBN
978-1-4244-2108-4
Type
conf
DOI
10.1109/WiCom.2008.2995
Filename
4681184
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