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arXiv · 1310.5936

Resonant driving of a nonlinear Hamiltonian system

Carlo Palmisano·Gianpiero Gervino·Massimo Balma·Dorina Devona·Sandro Wimberger
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Abstract

As a proof of principle, we show how a classical nonlinear Hamiltonian system can be driven resonantly over reasonably long times by appropriately shaped pulses. To keep the parameter space reasonably small, we limit ourselves to a driving force which consists of periodic pulses additionally modulated by a sinusoidal function. The main observables are the average increase of kinetic energy and of the action variable (of the non-driven system) with time. Applications of our scheme aim for driving high frequencies of a nonlinear system with a fixed modulation signal.

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Carlo Palmisano, Gianpiero Gervino, Massimo Balma, Dorina Devona, Sandro Wimberger. 2013-10-22. Resonant driving of a nonlinear Hamiltonian system. https://doi.org/10.1088/1742-6596/442/1/012063

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