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

BAN Ailing; ZHOU Kai

doi:10.21656/1000-0887.410360

Volume 42 Issue 7

Jul. 2021

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BAN Ailing, ZHOU Kai. Kolmogorov Entropy of Random Attractors for Stochastic Lattice Systems With White Noise[J]. Applied Mathematics and Mechanics, 2021, 42(7): 735-740. doi: 10.21656/1000-0887.410360

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

doi: 10.21656/1000-0887.410360

BAN Ailing^,,
ZHOU Kai

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

Received Date: 2020-11-26
Rev Recd Date: 2021-05-19

Abstract

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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References

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