Knopf G K, Gupta M M
Intelligent Systems Research Laboratory, College of Engineering, University of Saskatchewan, Saskatoon, Canada.
Int J Neural Syst. 1993 Sep;4(3):291-303. doi: 10.1142/s0129065793000237.
Two coupled nonlinear first-order systems whose dynamic behavior reflects the neural states exhibited by a spatially localized population of excitatory and inhibitory nerve cells are described. The dynamics of each constituent neural subpopulation represents a fundamental neural information processing element (PE) of a complex neural system. Phase plane analysis is used in this paper to show how such antagonistic positive acting (excitatory) and negative acting (inhibitory) PEs can generate diverse steady-state and temporal phenomena when the nonlinear system parameters of the PEs are altered. By modifying a selected set of parameters, it is possible to program the positive and negative PEs to exhibit various dynamic attributes such as multiple stable states, transient response behavior and limit-cycle oscillations. These dynamic attributes may be used to perform a variety of useful computational tasks in signal processing and vision systems such as short-term memory (STM), temporal filtering (TF) and pulse frequency modulation (PFM). Computer simulations are presented throughout this paper in order to illustrate these dynamic attributes.
描述了两个耦合的非线性一阶系统,其动态行为反映了由空间局部化的兴奋性和抑制性神经细胞群体所展现的神经状态。每个组成神经子群体的动力学代表了复杂神经系统的一个基本神经信息处理元件(PE)。本文采用相平面分析来展示,当这些PE的非线性系统参数改变时,这种具有拮抗作用的正性作用(兴奋性)和负性作用(抑制性)PE如何能产生多样的稳态和时间现象。通过修改一组选定的参数,可以对正性和负性PE进行编程,使其展现出各种动态属性,如多个稳定状态、瞬态响应行为和极限环振荡。这些动态属性可用于在信号处理和视觉系统中执行各种有用的计算任务,如短期记忆(STM)、时间滤波(TF)和脉冲频率调制(PFM)。本文通篇给出了计算机模拟,以说明这些动态属性。