Phase Locking in the Lighthouse Model of a Neural Net with Several Delay Times
Phase Locking in the Lighthouse Model of a Neural Net with Several Delay Times
复制标题
具有多个延迟时间的神经网络灯塔模型中的锁相
DOI：
10.1143/ptps.139.96
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发表时间：
2000
影响因子：
--
通讯作者：
H. Haken
中科院分区：
文献类型：
--
作者：
H. Haken
本文研究了 N 个脉冲耦合模型神经元网络的特征，同时考虑了树突和轴突的动力学。轴突脉冲由 δ 函数建模。我们承认耦合强度对神经元指数的一般依赖性。具体来说，结果是：1.具有多个延迟时间的延迟相互作用的锁相状态的精确解；2.锁相状态的稳定性分析。延迟会导致脉搏频率的张弛振荡。一般来说，增加延迟时间会增加弛豫时间 3. 超过锁相状态脉冲速率的临界耦合强度指数增加 4. 在不同条件下会出现不稳定性，导致神经放电速率的时空模式。
This paper studies the features of a net of N pulse-coupled model neurons, taking into account the dynamics of dendrites and axons. The axonal pulses are modeled by δ-functions. We admit a general dependence of the coupling strengths on the neuronal indices. In detail, the results are 1. exact solution of the phase-locked state for delayed interactions with several delay times 2. stability analysis of phase-locked state. Delays cause relaxation oscillations of the pulse rate. In general, increasing delay times increase relaxation times 3. beyond critical coupling strength exponential increase of pulse rate of phase-locked state 4. under different conditions instabilities occur leading to spatio-temporal patterns of neural firing rates.