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

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27959

Title:	Pullback and forward attractors for dissipative lattice dynamical systems with additive noises
Authors:	Ban,JC;Hsu,CH;Lin,YH;Yang,TS
Contributors:	數學研究所
Keywords:	CELLULAR NEURAL-NETWORKS;DIMENSION
Date:	2009
Issue Date:	2010-06-29 19:38:55 (UTC+8)
Publisher:	中央大學
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
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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