@inproceedings{f7a08f617faa4d77a47fdb7774eacf70,
title = "Pullback and forward attractors for dissipative cellular neural networks with additive noises",
abstract = "This work investigates the dissipative dynamical system in the infinite lattice ℤ with cellular neural networks as an example of application. 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, there exists a unique pullback attractor and forward attractor whose domain of attraction are random tempered sets. Furthermore, we prove that the pullback and forward attractor are equivalent to a random equilibrium which is also tempered. Both convergence to the pullback and forward attractors are exponentially fast. Index terms: disspativive cellular neural networks, random attractor, stochastic equilibrium.",
author = "Ban, {Jung Chao} and Hsu, {Cheng Hsiung} and Yang, {Tzi Sheng}",
year = "2010",
doi = "10.1109/cnna.2010.5430258",
language = "???core.languages.en_GB???",
isbn = "9781424466795",
series = "2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010",
publisher = "IEEE Computer Society",
booktitle = "2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010",
note = "2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 ; Conference date: 03-02-2010 Through 05-02-2010",
}