Fractal_trajectorie​s_of_charged_partic​les_in_periodic_ele​ctr

these codes help visual the fractal trajectories of a charged particles within a periodic electromagnetic field

Fractal_trajectories_of_charged_particles_in_periodic_electromagnetic_fields

these codes help visual the fractal trajectories of a charged particles within a periodic electromagnetic field Neglecting electromagnetic wave radiation and relativistic effects, we contemplate the ensuing electromagnetic field: \mathbf{E} = \mathsf{E}\cos(\omega t) \hat{\mathbf{x}} \mathbf{B} = \mathsf{B}\sin(\omega t)\hat{\mathbf{z}} and the charged particles was released at t=0, \mathbf{r} = (0,0) \mathbf{v} = (0,0); trajectories of the charged particle will be fractals ,while when \lambda is zeros of besselj(1,x), trajectories will be periodic.