Sensitivity analysis of multi-scroll chaotic oscillators at circuit level

In this paper a sensitivity analysis in the electronic design of a chaos generator with n-scrolls in one direction (1-D) is reported. The chaotic oscillator is modeled by using state variables and a piecewise linear function. From this model, a circuit synthesis is carried out to get an electronic circuit based on voltage operational amplifiers. This circuit is analyzed by applying the Monte Carlo method embedded in the T-Spice simulator. Two cases are studied, the first one is related with the sensitivity of the number of scrolls in the chaotic oscillator as a function of the variations in the passive elements. Later, a non ideal macro-model is introduced to analyze the impact of the second order effects of the operational amplifiers against the number of scrolls. Several Spice simulations are given to demonstrate the usefulness of this approach.