非泄漏积分-激发神经元小世界网络中的多稳定性、局部斑图形成和全局集体放电
Multistability, local pattern formation, and global collective firing in a small-world network of non-leaky integrate-and-fire neurons
摘要：
本文研究了二维小世界网络中脉冲耦合非泄漏积分-点火神经元的集体动力学行为。为了确保持续的活动，我们对每个神经元施加自发放电的概率。我们研究了网络动力学从不同的初始条件依赖于耦合强度和重布线概率。除了一个均匀的平衡态低耦合强度，我们观察到不同的本地模式，包括循环波，螺旋波，和顺从样的模式，这-取决于网络参数-干扰的全球集体发射的神经元。我们属性的各种网络动态参数空间中的不同制度。对于相同的网络参数，可以观察到不同的网络动力学，这仅取决于初始条件的集合。这种多稳态行为以及局部斑图形成和全局集体放电之间的相互作用可能归因于生物网络的时空动力学。
英文摘要：
We investigate numerically the collective dynamical behavior of pulse-coupled non-leaky integrate-and-fire-neurons that are arranged on a two-dimensional small-world network. To ensure ongoing activity, we impose a probability for spontaneous firing for each neuron. We study network dynamics evolving from different sets of initial conditions in dependence on coupling strength and rewiring probability. Beside a homogeneous equilibrium state for low coupling strength, we observe different local patterns including cyclic waves, spiral waves, and turbulent-like patterns, which -- depending on network parameters -- interfere with the global collective firing of the neurons. We attribute the various network dynamics to distinct regimes in the parameter space. For the same network parameters different network dynamics can be observed depending on the set of initial conditions only. Such a multistable behavior and the interplay between local pattern formation and global collective firing may be attributable to the spatiotemporal dynamics of biological networks.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
