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

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题名:	Pullback and forward attractors for dissipative lattice dynamical systems with additive noises
作者:	Ban,JC;Hsu,CH;Lin,YH;Yang,TS
贡献者:	數學研究所
关键词:	CELLULAR NEURAL-NETWORKS;DIMENSION
日期:	2009
上传时间:	2010-06-29 19:38:55 (UTC+8)
出版者:	中央大學
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
显示于类别:	[數學研究所] 期刊論文

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