Kolmogorov Entropy of Random Attractors for Stochastic Lattice Systems With White Noise
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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-Schrdinger格点动力系统的随机吸引子的Kolmogorov熵,并得到它的一个上界.
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关键词:
- 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-Schrdinger 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.-
Key words:
- white noise /
- lattice system /
- random attractor /
- Kolmogorov entropy
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