Simulation of Chua’s circuit by automatic control of step-size

摘要

The effects on time-simulation by automatic control of step-size is presented to simulate the behavior of Chua’s circuit, which consist 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 state-variables equations, which are solved by applying multistep methods with automatic control of step-size to simulate the generation of chaotic phenomena. It is highlighted the speed-up in time simulation to estimate the values of the circuit elements, so that the synthesis of Chua’s diode can be realized directly using novel electronic circuits.