In the present paper, we report on the switching dynamics of both single and coupled VO2-based oscillators, with resistive and capacitive coupling, and explore the capability of their application in oscillatory neural networks. Based on these results, we further select an adequate SPICE model to describe the modes of operation of coupled oscillator circuits. Physical mechanisms influencing the time of forward and reverse electrical switching, that determine the applicability limits of the proposed model, are identified. For the resistive coupling, it is shown that synchronization takes place at a certain value of the coupling resistance, though it is unstable and a synchronization failure occurs periodically. For the capacitive coupling, two synchronization modes, with weak and strong coupling, are found. The transition between these modes is accompanied by chaotic oscillations. A decrease in the width of the spectrum harmonics in the weak-coupling mode, and its increase in the strong-coupling one, is detected. The dependences of frequencies and phase differences of the coupled oscillatory circuits on the coupling capacitance are found. Examples of operation of coupled VO2 oscillators as a central pattern generator are demonstrated.

中文翻译：

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作为神经网络元素的单个和耦合的基于 VO2 的振荡器的开关动力学

在本文中，我们报告了具有电阻和电容耦合的单个和耦合的基于 VO2 的振荡器的开关动力学，并探索了它们在振荡神经网络中的应用能力。基于这些结果，我们进一步选择了一个合适的 SPICE 模型来描述耦合振荡器电路的工作模式。确定了影响正向和反向电气切换时间的物理机制，确定了所提出模型的适用性限制。对于阻性耦合，表明在一定的耦合电阻值下会发生同步，尽管它是不稳定的，并且会周期性地发生同步失败。对于电容耦合，发现了弱耦合和强耦合两种同步模式。这些模式之间的转变伴随着混沌振荡。检测到弱耦合模式中频谱谐波宽度的减小和强耦合模式中的增加。发现耦合振荡电路的频率和相位差对耦合电容的依赖性。演示了耦合 VO2 振荡器作为中央模式发生器的操作示例。