Abstract
We present a method allowing one to employ another external kicks with strength K′ and delay η to control the global stochasticity in two-dimensional Hamiltonian systems; here we use a model of the standard map, the control here means that the chaotic state will be able to changed in the entire angular momentum interval (−∞,∞) at will. Through the action of periodically external kicks to a standard map, a new type of spatial intermittency, we term it as chaotic wave, appears. Especially, split the strength of the kicks of originally standard map into two parts with delay η⪡1, a region where the KAM tori are reconstructed, and such KAM tori always can be found no matter how large the strength is. Results show that the behaviors of the controlled system are sensitive to the change of delay η and obtuse to the change of controlling kicks strength K′.
Published Version
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