Fractional Order Flux Controlled Meminductive System for Chaos Generation

Chaotic systems have gained wide popularity and applications in various fields. Recently, the design of chaotic systems utilising electrical components has gained popularity, with a focus on more contemporary memory-based components known as memelements. Further, to achieve dynamic response close to real systems, fractional-order chaotic systems are being utilized. In this paper, a fractional order flux-controlled meminductor emulator is proposed and its properties are observed in detail. A fractional-order meminductor emulator has been proposed for grounded and floating configurations. Realization is done using fewer active blocks and components which are commercially available. The circuit is simple and its operation is free from the need of a memristor. Furthermore, the application of the suggested fractional order meminductor as a circuit element to design a fractional order chaotic system has been analysed. Examination of variations in behaviour of chaotic oscillators with the changes in order of proposed fractional order meminductor, show that the lower orders attribute to an increased unpredictability in chaotic dynamics.