Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/130203
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: | Jun-2009 | 上傳時間: | 22-Jun-2020 | 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 |
Appears in Collections: | 期刊論文 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
index.html | 125 B | HTML2 | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.