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
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;
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
DOI :
10.1109/WiCom.2008.2995
