Design of a Hysteresis Chaotic Circuit

A new design of a hysteresis chaotic circuit is proposed. The simple circuit consists of one capacitor, one inductor, one resistor (negative) and one hysteresis VCVS. Computer simulation results, showing the existence of the double scroll attractor, are reported. In this paper, we propose a new and simple design of a hysteresis chaotic circuit. The circuit is designed by using only one capacitor, one inductor, one negative resistor and one hysteresis voltage controlled voltage source VCVS. It is well known that at least three states are required to generate chaos in a autonomous system. In the proposed circuit the capacitor and the inductor provide two states and the hysteresis corresponds to the third state. The stretching process is achieved by the presence of the negative resistance while the folding mechanism is realized by the hysteresis VCVS. As in the case of the Chua's circuit chip (4), the implementation of our circuit in a single chip is realizable. In the following sections, the design procedure of the proposed circuit is reported. Both simulation results using Matlab Simulink for the dynamical equations, and Electronics Workbench for the circuit implementation, are presented. The existence of the double scroll strange attractor is shown. 2. Circuit Design