An example of Hamiltonian system and controlling chaos with simple limiters

A new type of one-dimensional periodic ally driven Hamiltonian system (an-h armonic) has been proposed and its characteristics discussed. Chaotic dynam ics in the driven oscillator is controlled using an adjustable, passive lim iter (a weight for the oscillator). The chaotic trajectories of the conserv ative system can be controlled to some of the low periodic (or low energy) orbits. The results demonstrate that chaos control can be accomplished usin g controllers that are very simple relative to the system being controlled.