Title :
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
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;
Conference_Titel :
Computational Intelligence and Industrial Applications, 2009. PACIIA 2009. Asia-Pacific Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4606-3
DOI :
10.1109/PACIIA.2009.5406624
