论文标题
在带有外部激发的回忆后期神经元网络中，通往混乱和嵌合体状态的途径
Route to chaos and chimera states in a network of memristive Hindmarsh-Rose neuron model with external excitation
论文作者
论文摘要
在本文中，我们介绍并研究了一个回忆性后玛斯 - 罗斯（HR）神经元网络的集体行为。考虑到传统2D HR神经元的回忆性自动化，该模型是建立的。使用单参数分叉图及其相应的最大lyapunov指数图，我们表明该模型能够表现出反向时期的两倍途径到混乱，内部和外部危机现象。已经考虑了复活性HR神经元模型的Ring-Star网络的三种不同配置，包括Ring-Star，Ring和Star。对这些网络配置的研究表明，连贯，相干，嵌合体和聚类状态行为。连贯的行为的特征在于网络神经元的同步，而不一致的行为的特征是没有同步。嵌合体状态是指网络同步和异步节点共存的不同状态。该论文的有趣结果之一是在循环和环形恒星网络中双孔嵌合体的普遍存在，这是在回忆性HR神经元模型的情况下首先提到的。
In this paper, we have introduced and investigated the collective behavior of a network of memristive Hindmarsh-Rose (HR) neurons. The proposed model was built considering the memristive autapse of the traditional 2D HR neuron. Using the one-parameter bifurcation diagram and its corresponding maximal Lyapunov exponent graph, we showed that the proposed model was able to exhibit a reverse period doubling route to chaos, phenomenon of interior and exterior crises. Three different configurations of the ring-star network of the memristive HR neuron model, including ring-star, ring, and star, have been considered. The study of those network configurations revealed incoherent, coherent, chimera, and cluster state behaviors. Coherent behavior is characterized by synchronization of the neurons of the network, while incoherent behaviors are characterized by the absence of synchronization. Chimera states refer to a different state where there is a coexistence of synchronized and asynchronized nodes of the network. One of the interesting results of the paper is the prevalence of double-well chimera states in both ring and ring-star network which has been first mentioned in the case of the memristive HR neuron model.
