2020/10/10 by Ahmed S. Elwakil, A. S. Elwakil, M. E. Fouda +9
Computer Science · Engineering · Physics and Astronomy · #Advanced Memory and Neural Computing #FOS: Electrical engineering #Neural Networks and Reservoir Computing #Signal Processing (eess.SP) #Systems and Control (eess.SY) #cs.SY #eess.SP #eess.SY #electronic engineering #information engineering #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.2010.05039
9 pages, 9 figures
arxiv created 2020/10/10 · openalex publication_date 2020/10/10 · arxiv updated 2020/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.