Capture and escape from resonance in the dynamics of the rigid body in viscous medium

摘要: The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. essential features this independent the nature system under consideration. As an example we examine in detail abovementioned phenomena rotational motions a rigid body viscous medium. Our analysis is based on averaging method. Conditions for existence captured into derived. Scattering phase trajectories estimated case passage through without capture.