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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/130203

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/130203

Title:	Pullback and forward attractors for dissipative lattice dynamical systems with additive noises
Authors:	班榮超 Ban, Jung-Chao Hsu, Cheng-Hsiung Lin, Yin-Heng Yang, Tzi-Sheng
Contributors:	應數系
Keywords:	pullback and forward attractors;tempered random equilibrium
Date:	2009-06
Issue Date:	2020-06-22 13:43:18 (UTC+8)
Abstract:	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.
Relation:	Dynamical Systems: An international journal, Vol.24, No.2, pp.139-155
Data Type:	article
DOI link:	https://doi.org/10.1080/14689360802508777
DOI:	10.1080/14689360802508777
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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