摘要
This work investigates the dissipative dynamical system in the infinite lattice . The dynamics of each node depends on itself and nearby nodes by a nonlinear function. When each node is perturbed with weighted Gaussian white noise, a unique pullback attractor and forward attractor exists whose domain of attraction are random tempered sets. Furthermore, we prove that the pullback and forward attractors are equivalent to a random equilibrium which is also tempered. Both convergence to the pullback and forward attractors are exponentially fast.
原文 | ???core.languages.en_GB??? |
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頁(從 - 到) | 139-155 |
頁數 | 17 |
期刊 | Dynamical Systems |
卷 | 24 |
發行號 | 2 |
DOIs | |
出版狀態 | 已出版 - 6月 2009 |