Frequency scaling simulation of Chua’s circuit by automatic determination and control of step-size

Abstract

A procedure is introduced to speed-up time simulation of Chua’s circuit by means of determining the eigenvalues of its state matrixes. A multistep method is applied with automatic control of step-size ( h), where h is determined by the computation of the eigenvalues of the state matrixes which change according to the slopes of Chua’s diode. It is shown that the proposed simulation procedure enhances the estimation of the values of the circuit elements in Chua’s circuit and the exploration on its frequency scaling behavior. Besides, it is not necessary to give an initial step-size for initializing the simulation.