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The presented work describes an exclusive mathematical model for the multi-pinch-off behavior generated by non-linear memristors, which may be useful in advanced memristive applications. The reported mathematical results are based on the calculation of inflection points present on the memristor charge-flux curve, which has not been studied so far. The consideration of inflection points can be very useful in deciding various aspects of non-linear memristive applications. Based on derived mathematical conditions; a VDTA active element based, three-pinch-off memristor emulator has been developed, without employing any multiplier IC. For the first time, such a compact emulator circuit has been proposed, which uses only two VDTAs and three grounded passive elements, to emulate multi-pinch-off behavior at moderate frequencies. The behavior of the presented emulator is studied by performing simulations under the PSPICE environment for CMOS VDTA. The presented VDTA based three-pinch-off memristor is also implemented using commercially available IC LM13700 and verified.

Emulation of Three-Pinch-Off Memristor Emulator Based on Highly Non-Linear Charge-Flux Characteristics