论文标题

非线性谐振器中的捏合磁滞回路

Pinched Hysteresis Loops In Nonlinear Resonators

论文作者

Elwakil, A. S., Fouda, M. E., Majzoub, S., Radwan, A. G.

论文摘要

本文表明,可以在简单的非线性共振电路中观察到滞留的滞后,该电路包含单个二极管,该二极管表现为电压控制开关。数学模型是串联和并行谐振电路的数值验证的。发现捏环的叶面积随着频率的增加而增加,并且有多个捏合点可以使用奇怪的对称非线性(例如立方非线性)。已经进行了实验,以证明具有单个二极管和两个抗平行二极管的捏滞存在。在这些电路中,捏合环的形成证实:1)捏滞后的滞后不是备忘录的指标,而2)非线性的存在对于产生这种行为至关重要。最后,验证了数字逻辑电路中的应用程序。

This paper shows that pinched hysteresis can be observed in simple nonlinear resonance circuits containing a single diode that behaves as a voltage-controlled switch. Mathematical models are derived and numerically validated for both series and parallel resonator circuits. The lobe area of the pinched loop is found to increase with increased frequency and multiple pinch-points are possible with an odd symmetrical nonlinearity such as a cubic nonlinearity. Experiments have been performed to prove the existence of pinched hysteresis with a single diode and with two anti-parallel diodes. The formation of a pinched loop in these circuits confirms that: 1) pinched hysteresis is not a finger-print of memristors and that 2) the existence of a nonlinearity is essential for generating this behavior. Finally, an application in a digital logic circuit is validated.

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