Development of an android application for the analysis of the Chua-Matsumoto circuit

Abstract

An Android application for the analysis of the circuit of Chua-Matsumoto was developed. This application provides the solution trajectory to the dynamical system of the circuit with the initial condition (x₀,y₀,z₀). The system of nonlinear differential equations is solved by Runge-Kutta-Fehlberg method. The application has three data entry screens: one for the initial conditions (x₀,y₀,z₀), one for the parameters of the system (α,β,a,b), and one for the parameters of the method (t_max,h_max,h_min,tol). There is a screen used to plot the curves of the coordinatesx,y and z as functions of the time. Also, there is a screen used to plot the projections of the trajectory into thexy, xz and yz planes and to export all data to a txt file. Furthermore, there is a screen used to display the Lyapunov exponents calculated by the application.

Keywords:
circuit of Chua-Matsumoto; dynamical systems; chaotic attractors; Android applications