Numerical Study on the Electrical Circuit, Presented by Duffing’s Equation

The Duffing’s equation is a non-linear second-order ordinary differential equation, describing processes with different physical nature. It analyses the status of deterministic dynamical systems. The Duffing’s oscillators can be realized by serial connection of resistor, coil and capacitor, where only the latter one is non-linear. Other two passive elements are linear. In the present paper the simplest Duffing’s oscillator is considered. On this base the dynamics of the studied electrical circuit are discussed. The Duffing’s equation solution is simulated by Matlab/Simulink model. The paper finishes with conclusion remarks about the adequacy of the proposed model to solve the Duffing’s equation.