Renormalization group reduction of non-integrable Hamiltonian systems

Abstract

Based on the renormalization group (RG) method, a reduction of non-integrable multi-dimensional Hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density and for the amplitudes of the angular modes have been derived. It has been shown that these equations are precisely the RG equations. As an application of the approach developed, the modulational diffusion in a one-and-a-half-degreeof-freedom dynamical system has been studied in detail.