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    题名: Pullback and forward attractors for dissipative lattice dynamical systems with additive noises
    作者: 班榮超
    Ban, Jung-Chao
    Hsu, Cheng-Hsiung
    Lin, Yin-Heng
    Yang, Tzi-Sheng
    贡献者: 應數系
    关键词: pullback and forward attractors;tempered random equilibrium
    日期: 2009-06
    上传时间: 2020-06-22 13:43:18 (UTC+8)
    摘要: This work investigates the dissipative dynamical system in the infinite lattice ℤ. 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.
    關聯: Dynamical Systems: An international journal, Vol.24, No.2, pp.139-155
    数据类型: article
    DOI 連結: https://doi.org/10.1080/14689360802508777
    DOI: 10.1080/14689360802508777
    显示于类别:[應用數學系] 期刊論文

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