Coupling of a nonlinear diffusive electromagnetic system to a linear electric circuit

A composite electromagnetic system that includes a nonhysteretic ferromagnetic conducting body and a linear resonant circuit fed by a sinusoidal voltage source is studied. The diffusion of the magnetic field in the iron core inductor is described by means of a finite-dimensional nonlinear dynamic system obtained by applying the Galerkin method. These equations are coupled with the circuit ones. This physical system might exhibit different nonlinear phenomena: multiple periodic oscillations and even apparently completely disordered aperiodic chaotic motions. Multiple harmonic and subharmonic oscillations are investigated by computer-aided analysis using a static method