The textbook contains descriptions of 8 laboratory works performed by students of the Faculty of Physics of Saratov State University . N. G. Chernyshevsky within the framework of the workshop "Methods of nonlinear dynamics". For each laboratory work, the manual includes a description of the necessary theoretical information, a general idea of the algorithm used and a list of practical tasks. The manual covers a wide range of methods of nonlinear oscillation theory, allowing to study the complex dynamics of auto-oscillational systems in terms of phase space and to quantitatively characterize the features of various oscillation modes. For students studying in physical specialties, as well as for graduate students and researchers specializing in the theory of nonlinear oscillations . The manual is posted on the Scientific and Educational Portal on Nonlinear Dynamics created by the Department of Radiophysics and Nonlinear Dynamics of Saratov State University (http://chaos.) ssu. runnet. ru)