Parametric resonance and energy transfer in dusty plasma

Model allowing analytical and numerical studying of dusty plasma system is used to describe dynamics of monolayer of dusty particles. Mechanism of energy transfer between horizontal and vertical particles motion based on parametric resonance is described by an extended Mathieu equation. Resonance regions and growth rates of dust particles energy are obtained. Conditions of resonance occurrence and initial stage of energy transfer are described more precisely based on analysis of derived data. It is shown that a wide spectrum of dust particles oscillations participate in energy transfer. The core harmonics of energy transfer are determined.