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Relativistic Kepler map

D. U. MatrasulovHeat Physics Department, Uzbek Academy of Sciences, 28 Katartal St, 700135 Tashkent, UzbekistanD.M. OtajanovHeat Physics Department, Uzbek Academy of Sciences, 28 Katartal St, 700135 Tashkent, Uzbekistan
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The relativistic generalization of the Kepler map describing diffusive excitation of the relativistic hydrogen-like atom in a monochromatic field is derived. It is shown that the trajectories which are regular in the non-relativistic case may become chaotic in the relativistic case under the same conditions.

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