Self-excited oscillations in singular disturbed systems

Systems of ordinary differential equations, containing a small parameter of a part of derivatives, are considered in the paper aiming at the investigation of self-excited oscillations in relaxation systems of ordinary equations and in parabolic systems with diffusion small coefficients. As a result main aspects of the relaxation oscillation theory have been developed: a limit object has been described, a character of the convergence to it has been cleared up, the complete asymptotics of trajectories has been constructedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio