Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Abstract

Chaos is often observed in forced nonlinear electrical circuits with saturable reactors. Simplest of such a circuit is presented and investigated in both integer order and non-integer (fractional) order form. For numerical analysis of fractional order system we used Adam-Bashforth-Moulton method and investigated the various dynamic properties of the system. For implementing the system in field programmable gate arrays (FPGA) we used the Adomian decomposition method. Power and resource utilization of the fractional order system for implementing in FPGA are presented. Also, in this work, a new fractional based sound encryption application has been implemented as a unique application.