Title :
Bifurcation analysis in neural network with delayed feedback and application to chaotic control
Author :
Gao, Chunyu ; Wang, Wenlong
Author_Institution :
Dept. of Math., Northeast Agric. Univ., Harbin, China
Abstract :
Neural network system with delayed feedback is investigated. By employing the polynomial theorem, the distribution of the roots to the associated characteristic equation is analyzed; the conditions of ensuring the existence of Hopf bifurcation are given. Some numerical simulations show that Hopfield neural networks with delayed feedback can exhibit chaos-to-periodic orbits when a delayed parameter varies.
Keywords :
Hopfield neural nets; bifurcation; delays; feedback; neurocontrollers; periodic control; polynomial approximation; Hopf bifurcation; Hopfield neural networks; associated characteristic equation; chaos-to-periodic orbits; chaotic control; delayed feedback; numerical simulations; polynomial theorem; Chaos; Delayed Feedback; Hopf Bifurcation; Hopfield Neural Networks; Periodic Orbits;
Conference_Titel :
Advanced Computer Control (ICACC), 2011 3rd International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-8809-4
Electronic_ISBN :
978-1-4244-8810-0
DOI :
10.1109/ICACC.2011.6016480
