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Periodically driven dynamics of a particle moving in the field of Coulomb plus confining potential

D. U. MatrasulovHeat Physics Department, Uzbek Academy of Sciences, 28 Katartal Street, 700135 Tashkent, UzbekistanP. K. KhabibullaevHeat Physics Department, Uzbek Academy of Sciences, 28 Katartal Street, 700135 Tashkent, UzbekistanF. C. KhannaPhysics Department, University of Alberta, Edmonton, AB T6G 2J1, CanadaD.M. OtajanovHeat Physics Department, Uzbek Academy of Sciences, 28 Katartal Street, 700135 Tashkent, Uzbekistan
Physica Scriptajournal2008en
ABI

Abstract

Periodically driven dynamics of a particle moving in the field Coulomb plus confining potential is treated for one and three dimensional cases. Critical value of the external field strength at which chaotization will occur is evaluated analytically based on the resonance overlap criterion. The analysis of the phase-space dynamics is presented.

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