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