ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS 论文
2001International Journal of Bifurcation and Chaos引用 271
Stability and Controllability of Differential EquationsNonlinear Dynamics and Pattern FormationAdvanced Mathematical Modeling in Engineering
摘要
We study the asymptotic behavior of solutions for lattice dynamical systems. We first prove asymptotic compactness and then establish the existence of global attractors. The upper semicontinuity of the global attractor is also obtained when the lattice differential equations are approached by finite-dimensional systems.