Paper Info
Title
Two Kinds Of Horseshoes In A Hyperchaotic Neural Network
Abstract
This paper studies the hyperchaotic dynamics in a four-dimensional Hopfield neural network by virtue of topological horseshoe. Two different horseshoes (chaotic invariant sets) are found in this network with the same parameters. Numerical studies show that the first one expands only one-dimensionally and the second one expands two-dimensionally. Computer simulation also shows that there exists a heteroclinic connection from the second horseshoe to the first one, which indicates that the chaotic set of this system can have a very complicated structure composed of different kinds of expansions.
Year
DOI
Venue
2012
10.1142/S0218127412502008
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Chaos, hyperchaos, topological horseshoe, heteroclinic connection, neural networks
Journal
22
Issue
ISSN
Citations 
8
0218-1274
2
PageRank 
References 
Authors
0.43
6
2
Name
Order
Citations
PageRank
Qingdu Li116026.78
Xiaosong Yang237852.10