# Stable dynamics in forced systems with sufficiently high/low forcing frequency.

@article{Bartuccelli2016StableDI, title={Stable dynamics in forced systems with sufficiently high/low forcing frequency.}, author={M. Bartuccelli and G. Gentile and J. A. Wright}, journal={Chaos}, year={2016}, volume={26 8}, pages={ 083108 } }

We consider parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low. We show that, provided the frequency is sufficiently high, Kolmogorov-Arnold-Moser (KAM) theorem may be applied even when the forcing amplitude is far away from the perturbation regime. A similar result is obtained for sufficiently low frequency, but in that case we need the amplitude of the forcing to… Expand

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