更改

The '''Ermentrout-Kopell canonical model''' is better known as the "theta model" and is a simple one-dimensional model for the spiking of a [[neuron]].  It is closely related to the [[quadratic integrate and fire neuron]].  The model takes the following form:

The '''Ermentrout-Kopell canonical model''' is better known as the "theta model" and is a simple one-dimensional model for the spiking of a [[neuron]].  It is closely related to the [[quadratic integrate and fire neuron]].  The model takes the following form:

Ermentrout-Kopell规范模型被称为“θ模型”，是一个简单的'''神经元'''尖峰的一维模型。它与'''二次积分和放电神经元'''密切相关。模型的形式如下:

'''Ermentrout-Kopell规范模型'''被称为“θ模型”，是一个尖峰'''神经元'''的简单一维模型。它与'''二次积分和放电神经元'''密切相关。模型的形式如下:

:<math>\label{theta}

:<math>\label{theta}

where <math> I(t) </math> are the inputs to the model.  The variable <math> \theta </math> lies on the unit circle and ranges between 0 and <math>2\pi\ .</math>  When <math> \theta=\pi </math> the neuron "spikes", that is, it produces an [[action potential]].   

where <math> I(t) </math> are the inputs to the model.  The variable <math> \theta </math> lies on the unit circle and ranges between 0 and <math>2\pi\ .</math>  When <math> \theta=\pi </math> the neuron "spikes", that is, it produces an [[action potential]].   

图1:极限环上的鞍节点。模型的输入在哪里。变量在单位圆上，取值范围在0到神经元“刺突”即产生'''动作电位'''之间。  

其中<math> I(t) </math>即模型的输入。变量<math> \theta </math>在单位圆上，取值范围在0到<math>2\pi\ .</math>之间，当<math> \theta=\pi </math>'''神经元'''“刺突”即产生'''动作电位'''。 

 

图1:极限环上的鞍节点。  

==Derivation==

==Derivation==