θ神经元环形网络中的集体状态
Collective states in a ring network of theta neurons.
作者信息
Omel'chenko Oleh, Laing Carlo R
机构信息
University of Potsdam, Institute of Physics and Astronomy, Karl-Liebknecht-Str. 24/25, Potsdam 14476, Germany.
School of Natural and Computational Sciences, Massey University, Private Bag 102-904 NSMC, Auckland, New Zealand.
出版信息
Proc Math Phys Eng Sci. 2022 Mar;478(2259):20210817. doi: 10.1098/rspa.2021.0817. Epub 2022 Mar 9.
We consider a ring network of theta neurons with non-local homogeneous coupling. We analyse the corresponding continuum evolution equation, analytically describing all possible steady states and their stability. By considering a number of different parameter sets, we determine the typical bifurcation scenarios of the network, and put on a rigorous footing some previously observed numerical results.
我们考虑一个具有非局部均匀耦合的θ神经元环形网络。我们分析了相应的连续演化方程，解析地描述了所有可能的稳态及其稳定性。通过考虑一些不同的参数集，我们确定了网络的典型分岔情况，并为一些先前观察到的数值结果奠定了严格的基础。
Zotero 插件