关于耗散格点系统全局吸引子的分形维

通过应用一个估计Hilbert空间中紧子集分形维的判据,从而得到了Klein-Cordon-Scgrodinger格点系统全局吸引子分形维的一个上界.     

Uniform attractors for non-autonomous Klein-Gordon-Schr/Sdinger lattice systems

The existence of a compact uniform attractor for a family of processes corre- sponding to the dissipative non-autonomous Klein-Gordon-SchrSdinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of the compact uniform attractor is established.     

Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems

The existence of a compact uniform attractor for a family of processes corresponding to the dissipative non-autonomous Klein-Gordon-Schrödinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of the compact uniform attractor is established.     

非自治Klein-Gordon-Schr(o)dinger格点动力系统的一致吸引子

首先证明了耗散的非自治Klein-Gordon-Schr(o)dinger格点动力系统的解确定的一族过程的紧一致吸引子的存在性.其次得到了该紧一致吸引子的Kolmogorov熵的一个上界.最后建立了该紧一致吸引子的上半连续性.     

Klein-Gordon-Schr(o)dinger格点系统全局吸引子的分形维数

本文利用估计Hilbert空间中紧子集的分形维数的准则,得到了Klein-Gordon-Schr(o)dinger格点系统的全局吸引子的分形维数的一个上界.