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Bouncing balls in non-linear potentials

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  • We consider a ball bouncing off infinitely heavy periodically moving plate in the presence of a potential force. Assuming that the potential equals to a power of the ball's height we present conditions guaranteeing recurrence in the sense that the total energy of almost every trajectory does not go to infinity.
    Mathematics Subject Classification: Primary: 37D25; Secondary: 37J40, 70D05, 70H11.


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