Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892012 | Chaos, Solitons & Fractals | 2009 | 8 Pages |
Abstract
A class of new simple Hopfield neural networks is revisited. To confirm the chaotic behavior in these Hopfield neural networks demonstrated in numerical studies, we resort to Poincaré section and Poincaré map technique and present a rigorous verification of existence of horseshoe chaos by virtue of topological horseshoes theory and estimates of topological entropy in the derived Poincaré maps.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Quan Yuan, Qingdu Li, Xiao-Song Yang,