Motions of a charged particle in the electromagnetic field induced by a non-stationary current

In this paper we study the non-relativistic dynamic of a charged particle in electromagnetic field induced by periodically time dependent current J along an infinitely long and thin straight wire. The motions are described Lorentz-Newton equation, which is obtained solving Maxwell's equations with distribution as data. We prove that many features integrable independent case preserved. More precisely, introducing cylindrical coordinates, existence (non-resonant) radially periodic also twist type. particular, these solutions Lyapunov stable accumulated subharmonic quasiperiodic motions.