caa a22 4500 606205152 CHVBK 20210128101006.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00034-015-9995-6 doi (NATIONALLICENCE)springer-10.1007/s00034-015-9995-6 Boundary Dynamics of Memcapacitor in Voltage-Excited Circuits and Relaxation Oscillators [Elektronische Daten] [Mohammed Fouda, Ahmed Radwan] This paper discusses the boundary dynamics of the charge-controlled memcapacitor for Joglekar's window function that describes the nonlinearities of the memcapacitor's boundaries. A closed form solution for the memcapacitance is introduced for general doping factor $$p$$ p . The derived formulas are used to predict the behavior of the memcapacitor under different voltage excitation sources showing a great matching with the circuit simulations. The effect of the doping factor $$ p$$ p on the time domain response of the memcapacitor has been studied as compared to the linear model using the proposed formulas. Moreover, the generalized fundamentals such as the saturation time of the memcapacitor are introduced, which play an important role in many control applications. Then the boundary dynamics under sinusoidal excitation are used as a basis to analyze any periodic signal by Fourier series, and the results have been verified using PSPICE simulations showing a great matching. As an application, two configuration of resistive-less memcapacitor-based relaxation oscillators are proposed and closed form expressions for oscillation frequency and conditions for oscillation are derived in presence of nonlinear model. The proposed oscillator is verified using PSPICE simulation showing a perfect matching. Springer Science+Business Media New York, 2015 Memcapacitor nationallicence Mem-elements nationallicence Nonlinear model nationallicence Memcapacitor dynamics nationallicence Circuit modeling nationallicence Relaxation oscillator nationallicence Fouda Mohammed Engineering Mathematics and Physics Department, Cairo University, 12613, Giza, Egypt aut Radwan Ahmed Engineering Mathematics and Physics Department, Cairo University, 12613, Giza, Egypt aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/9(2015-09-01), 2765-2783 0278-081X 34:9<2765 2015 34 34 https://doi.org/10.1007/s00034-015-9995-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-015-9995-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fouda Mohammed Engineering Mathematics and Physics Department, Cairo University, 12613, Giza, Egypt aut NATIONALLICENCE 700 1- Radwan Ahmed Engineering Mathematics and Physics Department, Cairo University, 12613, Giza, Egypt aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/9(2015-09-01), 2765-2783 0278-081X 34:9<2765 2015 34 34