Pullback and forward attractors for dissipative lattice dynamical systems with additive noises

Jung Chao Ban, Cheng Hsiung Hsu, Yin Heng Lin, Tzi Sheng Yang

研究成果: 雜誌貢獻期刊論文同行評審

4 引文 斯高帕斯(Scopus)

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???
頁(從 - 到)139-155
頁數17
期刊Dynamical Systems
24
發行號2
DOIs
出版狀態已出版 - 6月 2009

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