Study of chaotic behavior in a nonlinear piezoelectric resonator

In this paper, we have implemented the numerical simulation to obtain the properties of a forced piezoelectric resonator characterized by a non-autonomous second order nonlinear differential equation called Duffing equation itself. We also studied the chaotic behavior under high excitations and we tried to see the interest of the initial conditions and the influence of control parameters while moving from one stable state to unstable state and vice versa.