具有时延的简单神经元模型的混沌行为

CHAOTIC BEHAVIOR IN A SIMPLEST NEURON MODEL WITHDISCRETE TIME DELAY

该文研究了具有时延的简单神经元方程周期解的失稳和混沌现象,数值仿真表明:在一阶非线性时延动力学系统中找到了新的混沌发生源,文中给出了例子的波形图、相图及最大Lyapunov指数图。

In this paper, stability losing of periodic solution and chaotic phenomenon in a simplest neuron equation with time delay are studied, The numerical simulations show that a new chaotic source is found in a first order nonlinear dynamical system. Some waveform diagrams, phase portraits, power spectra and plots of largest Lyapunov exponent are also given.