The influence of multiple frequency perturbations on particle chaotization in a cell

We consider the onset of chaotic regimes in a phase space of a particle interacting with its neighbors by means of Lennard-Jones potential. It was shown, that in the case of a single frequency cell excitation, the chaotization onset is of a threshold type in both amplitude and frequency. We propose a way to form a global chaos based upon the use of multi-frequency external excitation. The numerical experiments and asymptotic analysis show that in this case the global chaotization starts at excitation amplitudes and frequencies far below their critical values for single-frequency excitation.