A Fractional-Order Meminductor Emulator with Applications in Chaotic Oscillator

This paper introduces a fractional-order meminductor emulator (FOMI) with both grounded and floating configurations, showcasing its applications in a chaotic oscillator and a circuit designed for adaptive learning. It employs one voltage differencing inverted buffered amplifier (VDIBA), a current follower (CF), a fractional-capacitor, and a conventional capacitor. The transient analysis, pinched hysteresis loops, and non-volatile characteristics obtained for the suggested FOMI serve as clear indicators of the circuit's effective operation. The variations in pinched hysteresis loops with changes in the fractional-order (α) and frequency also support the theoretical concepts. The circuit's robust performance has been assessed by analyzing simulation results under varying conditions of temperature and supply voltage. The analysis also involves examining the impact of varying capacitor values on pinched hysteresis loops. Monte Carlo and corner analyses support the robust behaviour of the circuit. The suggested FOMI's potential uses have been demonstrated using the chaotic oscillator and adaptive learning circuits.