Modeling and Simulation of a Chaotic Oscillator by MATLAB

A MATLAB-based system is presented to model and simulate a chaotic oscillator at the system level of abstraction. Chua's circuit is selected to describe the chaos phenomenon. Furthermore, the nonlinear resistor (Chua's diode) is modeled by an I-V piecewise-linear characteristic whose current and voltage ranges can be varied by the user. It is shown how to generate a sequence of chaotic behaviors by varying the value of a linear resistor. The simulation results can be plotted in a 2D and 3D graphs. Finally, some trade-offs for the synthesis of the chaotic oscillator by using standard CMOS integrated-circuit technology, are briefly described.