通过在无穷序列空间中引入新的加权范数,证明了在耗散条件下一阶格点系统存在全局吸引子,并且得到了该全局吸引子的Kolmogorovε熵的一个上界。
By introducing a new weight norm in a space of infinite sequences, we proves that under some dissipative conditions the first order lattice system possesses a global attractor, and also obtains an estimate of the upper bound of the Kolmogorov's ε-entropy of the global attractor.