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We present a control procedure to reduce the stochastic ionization ofhydrogen atom in a strong microwave field by adding to the original Hamiltoniana comparatively small control term which might consist of an additional set ofmicrowave fields. This modification restores select invariant tori in thedynamics and prevents ionization. We demonstrate the procedure on theone-dimensional model of microwave ionization.Comment: 8 page

Reducing multiphoton ionization in a linearly polarized microwave field by local control