In this paper, we prove the existence of random $\mathcal{D}$ -attractor for the second-order stochastic delay sine-Gordon equation on infinite lattice with certain dissipative conditions, and then establish the upper bound of Kolmogorov ε-entropy for the random $\mathcal{D}$ -attractor.

中文翻译：

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二阶随机时滞格正弦-Gordon方程的随机吸引子

本文证明了在一定耗散条件下无穷网格上二阶随机时滞正弦-Gordon方程存在随机的\\ mathcal {D} $-吸引子，然后建立了Kolmogorovε熵的上界随机的$ \ mathcal {D} $-吸引子。