Wh. Hai et al., STABLE ORBITS EMBEDDED IN A CHAOTIC ATTRACTOR FOR A TRAPPED ION INTERACTING WITH A LASER FIELD, Journal of physics. A, mathematical and general, 31(13), 1998, pp. 2991-2996
The interaction between a trapped ion and a resonant laser standing wa
ve is studied under the analytical approximation. Periodic orbits next
to the heteroclinic one and their stability conditions are derived fr
om the Rayleigh perturbation method. Theoretical analysis reveals the
stable periodic orbits to be embedded in the Melnikov chaotic attracto
r. The corresponding numerical results show that fitting control param
eters into the stability conditions can control chaos in the system.