Chaos of a class of Hopfield neural networks

Author

Huang, Wenzhi ; Huang, Yan

Author_Institution

Huabei Province Key Lab. of Intell. Robot, Wuhan Inst. of Technol., Wuhan, China

Volume

2

fYear

2009

fDate

28-29 Nov. 2009

Firstpage

17

Lastpage

22

Abstract

Chaos of a new class of Hopfield neural networks is investigated. Numerical simulations show that the simple Hopfield neural networks can display chaotic attractors and limit cycles for different parameters. By virtue of horseshoes theory in dynamical systems, the rigorous computer-assisted verifications for chaotic behavior of the system for certain parameters is given, and also the quantitative descriptions of the complexity of these systems.

Keywords

Hopfield neural nets; chaos; limit cycles; numerical analysis; Hopfield neural network; chaotic attractor; chaotic behavior; computer-assisted verification; dynamical system; horseshoes theory; limit cycle; numerical simulation; Artificial neural networks; Biological neural networks; Chaos; Computational intelligence; Electronic mail; Entropy; Hopfield neural networks; Limit-cycles; Neural networks; Orbits; Chaos; Hopfield Neural Network; Horseshoe; Limit Cycle; Poincaré Map; Topological Entropy;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Industrial Applications, 2009. PACIIA 2009. Asia-Pacific Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-4606-3

Type

conf

DOI

10.1109/PACIIA.2009.5406624

Filename

5406624