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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
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