Title :
The Research for Hopf Bifurcation in a Single Inertial Neuron Model with External Forcing
Author :
Liu, Qun ; Liao, Xiaofeng ; Yang, Degang ; Guo, Songtao
Author_Institution :
ChongQing Univ., Chongqing
Abstract :
A delayed differential equation modeling a single neuron with time delay and external exciting is considered in this paper. The method to study Hopf bifurcation and periodic solution is researched by using the closed form with the aid of the center manifold and averaging theorem.
Keywords :
bifurcation; delay-differential systems; delays; differential equations; neural nets; Hopf bifurcation; averaging theorem; center manifold; delayed differential equation; external excitation; inertial neuron model; time delay; Bifurcation; Computer science; Delay effects; Differential equations; Educational institutions; Electronic mail; Neural networks; Neurons; Stability; Telecommunication computing;
Conference_Titel :
Granular Computing, 2007. GRC 2007. IEEE International Conference on
Conference_Location :
Fremont, CA
Print_ISBN :
978-0-7695-3032-1
DOI :
10.1109/GrC.2007.85
