Numerical Simulation of Chua's Circuit Oriented to Circuit Synthesis

摘要

The application of numerical methods based on polynomial approximation and multistep algorithm is presented to simulate the behavior of a chaotic oscillator, e.g. Chua's circuit, which consists of five circuit elements: one linear resistor, one inductor, two capacitors and one nonlinear resistor known as Chua's diode. The last element is modeled by an I-V piecewise-linear function to formulate a system of linear dynamic equations. This initial value problem is solved numerically to compute a sequence of chaotic phenomena. Values of the circuit elements can be determined by this numerical method, and the synthesis of Chua's diode can be realized directly using novel active devices. Numerical results are in good agreement with experiment data.