Dynamics of an RLC circuit with a ferroelectric capacitor (PZT) using different molar fractions

This paper analyses the dynamic of an RLC electrical circuit with a nonlinear PZT ferroelectric capacitor modelled by Landau-Devonshire theory. Due to the chemical characteristics of the PZT material different molar fractions can be identified and has a straight effect on Landau coefficients. The circuit dynamics are studied for three different molar fractions, namely: Pb(Zr0,2Ti0,8)O3, Pb(Zr0,5Ti0,5)O3, and Pb(Zr0,8Ti0,2)O3. For the numerical investigations, we used mathematical tools such as Lyapunov exponent, phase diagrams, parameter spaces, and basin of attraction, among others. With this, we show that the response of the RLC system presents several interesting and complex nonlinear dynamics phenomena when system's temperature changes.