脉冲驱动忆阻器在稳定固定点存在下的瞬态动力学
Transient dynamics of pulse-driven memristors in the presence of a stable fixed point
摘要：
从动力学系统的角度来看，有些忆阻器非常有趣。当由交替极性的窄脉冲驱动时，它们的动力学具有稳定的固定点，这可能对未来的应用有用。我们研究了两种类型的忆阻器的瞬态动力学的特点是一个稳定的不动点使用时间平均的演化方程。解析地确定了Biolek窗函数忆阻器和电阻阈值型忆阻器电路（一种有效忆阻器）的时均轨迹，并找到了弛豫到稳定不动点的时间，我们的解析结果与数值模拟的结果完全一致.
英文摘要：
Some memristors are quite interesting from the point of view of dynamical systems. When driven by narrow pulses of alternating polarities, their dynamics has a stable fixed point, which may be useful for future applications. We study the transient dynamics of two types of memristors characterized by a stable fixed point using a time-averaged evolution equation. Time-averaged trajectories of the Biolek window function memristor and resistor-threshold type memristor circuit (an effective memristor) are determined analytically, and the times of relaxation to the stable fixed point are found. Our analytical results are in perfect agreement with the results of numerical simulations.
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