Non linear dynamics of memristor based 3rd order oscillatory system

In this paper, we report for the first time the nonlinear dynamics of three memristor based phase shift oscillators, and consider them as a plausible solution for the realization of parametric oscillation as an autonomous linear time variant system. Sustained oscillation is reported through oscillating resistance while time dependent poles are present. The memristor based phase shift oscillator is explored further by varying the parameters so as to present the resistance of the memristor as a time varying parameter, thus potentially eliminating the need of external periodic forces in order for it to oscillate. Multi memristors, used simultaneously with similar and different parameters, are investigated in this paper. Mathematical formulas for analyzing such oscillators are verified with simulation results and are found to be in good agreement.

► Memristor-based phase shift oscillator is introduced for the first time.
► Sustained oscillation with oscillating resistance and poles are introduced.
► Three Memristors are used simultaneously showing LTV parametric oscillation.
► Analytical study with formulas is verified via circuit and numerical results.