Attractors for a second order nonautonomous lattice dynamical system with nonlinear damping

作者：Fan, Xiaoming^*; Wang, Yaguang

来源：Physics Letters A, 2007, 365(1-2): 17-27.

DOI：10.1016/j.physleta.2006.12.045

• lattice system
• pullback attractor
• approximation
• fractal dimension

In this Letter, the existence of compact pullback attractors is considered for a second order nonautonomous lattice dynamical system with nonlinear damping arising from spatial discretization of wave equations in R-k. And the finite-dimensional approximations of the attractors are studied. Finally, an upper bound of fractal dimension of the attractors is obtained.

• 出版日期2007-5-21
• 单位上海交通大学