scholarly journals The attractors for 2nd-order stochastic delay lattice systems

2017 ◽  
Vol 37 (1) ◽  
pp. 575-590 ◽  
Author(s):  
Chengjian Zhang ◽  
◽  
Lu Zhao ◽  
Keyword(s):  
Lattice Systems ◽  
Stochastic Delay

scholarly journals Invariant measures of stochastic delay lattice systems

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Zhang Chen ◽  
◽  
Xiliang Li ◽  
Bixiang Wang ◽  
◽  
...  
Keyword(s):  
Invariant Measures ◽  
Lattice Systems ◽  
Stochastic Delay

Periodic measures of stochastic delay lattice systems

2021 ◽  
Vol 272 ◽  
pp. 74-104
Author(s):  
Dingshi Li ◽  
Bixiang Wang ◽  
Xiaohu Wang
Keyword(s):  
Lattice Systems ◽  
Stochastic Delay

scholarly journals Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Yijin Zhang ◽  
Zongbing Lin
Keyword(s):  
Dynamical System ◽  
Asymptotic Behavior ◽  
Existence And Uniqueness ◽  
Additive Noise ◽  
Asymptotic Behavior Of Solutions ◽  
Random Dynamical System ◽  
Lattice Systems ◽  
Stochastic Delay ◽  
Long Term Behavior

In this paper, we focus on the asymptotic behavior of solutions to stochastic delay lattice equations with additive noise and deterministic forcing. We first show the existence of a continuous random dynamical system for the equations. Then we investigate the pullback asymptotical compactness of solutions as well as the existence and uniqueness of tempered random attractor in Xρ space. Finally, ergodicity of the systems is achieved.

Statistical Mechanics of Lattice Systems

2017 ◽  
Author(s):  
Sacha Friedli ◽  
Yvan Velenik
Keyword(s):  
Statistical Mechanics ◽  
Lattice Systems

Elastic scattering from cubic lattice systems with paracrystalline distortion. II

1990 ◽  
Vol 41 (6) ◽  
pp. 3854-3856 ◽  
Author(s):  
Hideki Matsuoka ◽  
Hideaki Tanaka ◽  
Norio Iizuka ◽  
Takeji Hashimoto ◽  
Norio Ise
Keyword(s):  
Elastic Scattering ◽  
Lattice Systems ◽  
Cubic Lattice
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