Name
Abstract | ||
|---|---|---|
This paper studies the hyperchaotic dynamics in a four dimensional Hopfield neural network. A topological horseshoe on a three dimensional block is found in a carefully chosen Poincaré section hyperplane of the ordinary differential equations. Numerical studies show that there exist two-directional expansions in this horseshoe map. In this way, a computer-assisted verification of hyperchaoticity of this neural network is presented by virtue of topological horseshoe theory. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/978-3-540-72393-6_13 | ISNN (2) |
Keywords | Field | DocType |
numerical study,horseshoe dynamics,dimensional hopfield neural network,topological horseshoe theory,small hyperchaotic neural network,neural network,horseshoe map,topological horseshoe,hyperchaotic dynamic,computer-assisted verification,dimensional block,ordinary differential equation,three dimensional | Ordinary differential equation,Horseshoe map,Computer science,Artificial intelligence,Hyperplane,Artificial neural network,Lyapunov exponent,Topology,Combinatorics,Poincaré map,Pattern recognition,Cellular neural network,Hopfield network | Conference |
Volume | ISSN | Citations |
4492 | 0302-9743 | 1 |
PageRank | References | Authors |
0.40 | 11 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qingdu Li | 1 | 160 | 26.78 |
| Xiaosong Yang | 2 | 378 | 52.10 |