Precision Measurements of Chaotic Circuits

Abstract

Many physical processes exhibit chaotic behavior. Since it is impossible to express the constitutive relations of these systems in closed form, we model chaotic systems by numerical methods. In order to validate such models, we need to compare the predictions of the models with accurate measurements of the chaotic process. The Chaos Monitor was designed and constructed expressly for the purpose of making high-precision measurements of chaotic electronic circuits. Together with the Chaos DIO interface card, we have used the Chaos Monitor to obtain accurate measurements of the Double Scroll chaotic oscillator. These measurements can now be compared against the results of numerical integrations to perform model verification, circuit parameter calculations, and model reference control. This thesis details the design, construction, and use of the Chaos Monitor system.

Full Text

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