Training. Method. allowance. — N. Novgorod: Published by NSU, 2006. — 135 s. Collective dynamics in large ensembles or networks of related oscillatory (auto oscillatory) elements is one of the main problems in nonlinear dynamics. It is important for the theoretical understanding of complex processes, as well as for a wide range of applications in various fields: from physics and chemistry, earth sciences, biology and medicine, business and social sciences to a variety of engineering and technical disciplines. The main effect of collective behavior - synchronization - coherent activity mode. Synchronization is a universal phenomenon that occurs in a variety of interacting systems and can be understood from the analysis of general models of oscillatory networks. The tutorial presents various aspects of synchronous behavior in chains and lattices of locally related non-identical oscillators. The manual is intended for students of 3-5 years of general training and 1-2 courses of master's training at the radiophysics faculty of the UNN, studying regular and chaotic dynamics in oscillatory systems with applications in the field of storage, processing and transmission of information .