From the pendulum to Rydberg accelerator and planetary dynamics autoresonant formation and control of nonlinear states

How to excite and control a particular state in a Hamiltonian system without a feedback and using a perturbation? A solution to this problem by passage through resonances and adiabatic synchronization is discussed. The idea is based on capturing the system into persistent (auto-) resonance with chirped frequency driving perturbations such that the driving amplitude exceeds a threshold. Among other applications, this approach allows efficient control of a classical state of Rydberg atoms in 3D, yielding gradual acceleration of the electron in the atom, until approaching the stochastic ionization limit. A similar phenomenon explains the Plutino puzzle in the early evolution of the solar system.