Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634575 | Applied Mathematics and Computation | 2008 | 7 Pages |
Abstract
Chaos in a class of three-dimensional continuous time cellular neural networks is investigated. Numerical experiments show that this class of cellular neural networks can display chaotic attractors and limit cycles for different parameters. By virtue of topological horseshoes theory in dynamical systems, a rigorous computer-assisted verification for chaotic behavior of the neural network is presented for certain parameter. Topological entropy estimate of the neural network is also given in terms of the Poincaré map.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhensong Liao, Yan Huang,