Title :
Stability for an inertial two-neuron system with time delay
Author :
Jialing Liu ; Xiaofeng Liao
Author_Institution :
Dept. of Comput. Sci. & Eng., Chongqing Inst. of Technol., Chongqing
Abstract :
In this paper, we considered a delayed differential equation modeling two-neuron system with both inertial terms and time delay. By analyzing the distribution of the eigenvalues of the corresponding transcendental characteristic equation of its linearized equation, local stability criteria are derived for various model parameters and time delay.
Keywords :
delay-differential systems; delays; differential equations; eigenvalues and eigenfunctions; neural nets; stability; delayed differential equation modeling; eigenvalues; inertial two-neuron system; linearized equation; stability; time delay; Bifurcation; Biomembranes; Chaos; Computer science; Delay effects; Differential equations; Inductance; Neurons; Nonlinear equations; Stability; Bifurcation; Chaos; Inertial; Local stability; time delay; two-neuron system;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4594509