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題名 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
貢獻者 應數系
關鍵詞 pullback and forward attractors ; tempered random equilibrium
日期 2009-06
上傳時間 22-Jun-2020 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
資料類型 article
DOI https://doi.org/10.1080/14689360802508777
dc.contributor 應數系-
dc.creator (作者) 班榮超-
dc.creator (作者) Ban, Jung-Chao-
dc.creator (作者) Hsu, Cheng-Hsiung-
dc.creator (作者) Lin, Yin-Heng-
dc.creator (作者) Yang, Tzi-Sheng-
dc.date (日期) 2009-06-
dc.date.accessioned 22-Jun-2020 13:43:18 (UTC+8)-
dc.date.available 22-Jun-2020 13:43:18 (UTC+8)-
dc.date.issued (上傳時間) 22-Jun-2020 13:43:18 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/130203-
dc.description.abstract (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.-
dc.format.extent 125 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Dynamical Systems: An international journal, Vol.24, No.2, pp.139-155-
dc.subject (關鍵詞) pullback and forward attractors ; tempered random equilibrium-
dc.title (題名) Pullback and forward attractors for dissipative lattice dynamical systems with additive noises-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1080/14689360802508777-
dc.doi.uri (DOI) https://doi.org/10.1080/14689360802508777-