A minimalistic model of the half-center oscillator is proposed. Within it, we consider dynamics of two excitable neurons interacting by means of the excitatory coupling. In the parameter space of the model, we identify the regions of dynamics, characteristic for central pattern generators: respectively, in-phase, anti-phase synchronous oscillations and quiescence, and study various bifurcation transitions between all these states. Suggested model can serve as a building block of specific complex central pattern generators for studies of rhythmic activity and information processing in animals and humans.

中文翻译：

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半中心振荡器相位模型中的动力学：具有兴​​奋性耦合的两个神经元

提出了半中心振荡器的简约模型。在其中，我们考虑了通过兴奋性耦合相互作用的两个可兴奋神经元的动力学。在模型的参数空间中，我们确定了中央模式发生器的动力学、特征区域：分别为同相、反相同步振荡和静止，并研究了所有这些状态之间的各种分岔转变。建议的模型可以作为特定复杂中央模式生成器的构建块，用于研究动物和人类的节律活动和信息处理。