论文标题
稀疏神经元网络中同步状态的稳定性
Stability of synchronous states in sparse neuronal networks
论文作者
论文摘要
同步状态的稳定性在两个抑制性和兴奋性神经元种群的背景下进行了分析，其特征在于不同的脉搏宽度。该问题降低为确定合适的一类稀疏随机矩阵的特征值，随机性是网络结构的结果。详细的分析还包括对有限振幅扰动的研究，以狭窄的脉冲的极限进行，发现稳定性至关重要取决于相对脉搏宽度。这对异步（平衡）制度的整体属性具有影响。
The stability of synchronous states is analysed in the context of two populations of inhibitory and excitatory neurons, characterized by different pulse-widths. The problem is reduced to that of determining the eigenvalues of a suitable class of sparse random matrices, randomness being a consequence of the network structure. A detailed analysis, which includes also the study of finite-amplitude perturbations, is performed in the limit of narrow pulses, finding that the stability depends crucially on the relative pulse-width. This has implications for the overall property of the asynchronous (balanced) regime.
