具有白噪声的随机格点系统的随机吸引子的Kolmogorov熵

班爱玲; 周恺

doi:10.21656/1000-0887.410360

具有白噪声的随机格点系统的随机吸引子的Kolmogorov熵

doi: 10.21656/1000-0887.410360

班爱玲^,,
周恺

池州学院大数据与人工智能学院，安徽池州 247000

基金项目:

安徽省自然科学基金(青年项目)(1708085QA13)

详细信息

作者简介:
班爱玲(1982—)，女，讲师，硕士（通讯作者. E-mail: 736953938@qq.com）.

通讯作者:
班爱玲(1982—)，女，讲师，硕士（通讯作者. E-mail: 736953938@qq.com）.

中图分类号: O175.2
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出版历程
- 收稿日期: 2020-11-26
- 修回日期: 2021-05-19

Kolmogorov Entropy of Random Attractors for Stochastic Lattice Systems With White Noise

BAN Ailing^,,
ZHOU Kai

School of Big Data and Artificial Intelligence, Chizhou University, ChiZhou, Anhui 247000, P.R.China

摘要

摘要: 基于耗散的随机格点系统解的渐近行为理论，主要运用元素分解法与有限维空间中多面体球覆盖的拓扑性质，研究了具有白噪声的随机Klein-Gordon-Schrdinger格点动力系统的随机吸引子的Kolmogorov熵，并得到它的一个上界.
- 白噪声 /
- 格点系统 /
- 随机吸引子 /
- Kolmogorov熵
Abstract: Based on the asymptotic behavior theory for solutions of dissipative stochastic lattice systems, the Kolmogorov entropy of random attractors in stochastic Klein-Gordon-Schrdinger lattice dynamic systems with white noise was studied with the element decomposition method and the topological properties of polyhedral sphere covering in the finite dimensional space, and an upper bound for the Kolmogorov entropy of random attractors was obtained.
- white noise /
- lattice system /
- random attractor /
- Kolmogorov entropy

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参考文献(12)

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