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.

Resonant driving of a nonlinear Hamiltonian system / C., Palmisano; G., Gervino; M., Balma; D., Devona; Wimberger, Sandro Marcel. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 442:(2013), p. 012063. [10.1088/1742-6596/442/1/012063]

Resonant driving of a nonlinear Hamiltonian system

WIMBERGER, Sandro Marcel
2013-01-01

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.
2013
Resonant driving of a nonlinear Hamiltonian system / C., Palmisano; G., Gervino; M., Balma; D., Devona; Wimberger, Sandro Marcel. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 442:(2013), p. 012063. [10.1088/1742-6596/442/1/012063]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2696716
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