The collection presents about 450 problems in nonlinear oscillations, catastrophes, dynamic systems, bifurcations, chaos, nonlinear waves, fractals and complex analytical dynamics. Each section contains both theoretical and research problems solved with the help of a computer. Research tasks can be used for setting up computer workshops, both coursework and for independent decision. A set of interrelated training programs in the listed disciplines is presented. Tasks and study programs are tested at the Faculty of Nonlinear Processes of Saratov State University . During the development of the collection, scientific results obtained in prof. groups were used. Kuznetsova A . P. , Kuznetsova SP. and Ryskin N . M. , as well as the experience of integration of academic (Saratov branch of IRE RAS) and university science (FNP SSU) . The collection will be useful to teachers and students interested in nonlinear oscillation and wave theory and nonlinear dynamics. Can be used to build an education system based on the ideas and approaches of nonlinear theory. The results of research on RFBR grants No00-02-17509 , No03-02-16074 , No03-02-16192 , RFBR-NIO No04-02-0411 , as well as on the grant of the American Foundation for Civil Research and Development .