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Experimental characterization of the dynamics in a network of chaotic FitzHugh-Nagumo neurons

机译:混沌FitzHugh-Nagumo神经元网络中动力学的实验表征

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When FitzHugh-Nagumo (FHN) driven oscillators are coupled, their dynamics tend to be synchronized. We show that the chaotically spiking neurons change their internal dynamics to subthreshold oscillations, the phenomenon referred to as firing death. These dynamical changes are observed below the critical coupling strength at which the transition to full chaotic synchronization occurs. Moreover, we find various dynamical regimes in the subthreshold oscillations, namely, regular, quasiperiodic, and chaotic states. We show numerically that these dynamical states may coexist with large-amplitude spiking regimes and that this coexistence is characterized by riddled basins of attraction. The reported results are obtained for neurons implemented in the electronic circuits as well as for the model equations. Finally, we comment on the possible scenarios where the coupling-induced firing death could play an important role in biological systems.
机译:当FitzHugh-Nagumo(FHN)驱动的振荡器耦合时,它们的动力学趋于同步。我们表明,混沌尖峰神经元将其内部动力学改变为阈值以下的振荡,这种现象称为放电死亡。在临界耦合强度以下会观察到这些动态变化,在临界耦合强度下会发生向完全混沌同步的过渡。此外,我们在亚阈值振荡中发现了各种动态状态,即规则状态,准周期状态和混沌状态。我们从数值上显示,这些动力学状态可能与大幅度的尖峰体制共存,并且这种共存的特征是迷惑的吸引盆。对于在电路中实现的神经元以及模型方程式,可以获得报告的结果。最后,我们对耦合诱发的射击死亡可能在生物系统中起重要作用的可能情况进行评论。

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