Toward Physical Implementation of Multi-Scroll Attractors

Abstract

The study of systems of third-order differential equations is of interest due to its wide dynamic range and its applications in secure communication systems, cryptography, among others. A special class of these systems is the jerk system, which is easy and simple to achieve. In this paper, we present the physical implementation of a multi-scroll system in ℝ3. The system is simulated in Simulink and implemented in an electronic circuit. The solution of the ordinary differential equations is represented by the voltage of the physical solution of the implemented system. The experimental tests are compared against the numerical simulation and that of the implemented circuit.