Title :
Single chaotic neuron with time-delay
Author :
Xie, Li ; He, Xing ; Zhang, Weidong ; Xu, Xiaoming
Author_Institution :
Dept. of Autom., Shanghai Jiaotong Univ., China
Abstract :
A single neuron with time-delay is investigated in this paper. The considered time-delay neuron can exhibit very complex dynamical behaviors. The stability of the system is analyzed based on functional differential equation theory. Nine regions are divided according to the parameters. Some of the stable regions will become unstable with the time-delay increasing. Three types of dynamical characteristic, e.g. limit circle, periodical motion and chaotic attractors, are illustrated by numerical simulations
Keywords :
cellular neural nets; chaos; delays; differential equations; limit cycles; stability; CNN cell; chaotic attractors; complex dynamical behavior; dynamical characteristic; functional differential equation; instability; limit circle; numerical simulations; periodical motion; single chaotic neuron; stable regions; time delay; Automation; Cellular neural networks; Chaos; Difference equations; Helium; Neurons; Nonlinear dynamical systems; Nonlinear equations; Numerical simulation; Piecewise linear techniques;
Conference_Titel :
Circuits and Systems, 2000. IEEE APCCAS 2000. The 2000 IEEE Asia-Pacific Conference on
Conference_Location :
Tianjin
Print_ISBN :
0-7803-6253-5
DOI :
10.1109/APCCAS.2000.913644
