Modeling and Simulation of a Chaotic Oscillator Using Mathematica

Mohamed Mostafa Saied

Abstract

This paper suggests a modified methodology for the modeling and simulation of a chaotic oscillator. Its analysis and the pertinent results of an efficient Mathematica simulation program dealing with a typical Chua's circuit are presented and discussed. The derived computer code is based on the application of state-variables in the time domain. The program yields the circuit’s currents and voltages and indicates their sensitivities to changes in the numerical values of the circuit elements. An efficient and accurate curve fitting technique dealing with the current-voltage relationship of the Chua’s diode (NR) is adopted. It is based on an assumed combination of polynomial and exponential terms. This will be followed by the numerical solution of the resulting system of differential-algebraic equations using Mathematica in order to simulate the behavior of a chaotic oscillator. The results of several case studies are presented and discussed.