Asymptotics of relaxation oscilations

A complete asymptotics of relaxation oscillations in $R^n$ is constructed. The process is divided into two steps: the construction of the asymptotics of the integral manifold of the system under consideration and the asymptotic integration of the equation in this manifold, with regular dependence on the small parameter. Together with the previously solved stability problem this completes the study of all the main questions connected with the asymptotics of a multidimensional relaxation cycle.
Bibliography: 8 titles.