Synchronization in coupled systems with different type of coupling elements

The interesting property of coupling systems is the subsystems interaction and its representation. This paper presents the synchronization and resynchronization like one of that subsystems interaction possibility. The treated models of coupling system are models of coupled linear and nonlinear oscillators with elements of static and dynamic coupling and of two circular plates connected with rolling visco-elastic nonlinear layer. Mathematical models of such systems are built up using the D’Alamberts principle and Bernoulli’s method of particular integrals. Obtained systems of coupled differential nonlinear non homogeneous equations are the start points in numerical investigation of identical synchronization in modelled system. Depending of coefficient of coupling the effect of synchronization is less or more present. For complex coupling hybrid systems, such as the system of two plates coupled non-linear visco-elastic rolling layer, the occurrence of synchronization depends on a number of parameters and their relationships. In the presented hybrid systems the values of the coefficients of coupling : static, dynamic, nonlinearity, damping, which are needed and enough for identical synchronization were considered. Presented numerical way to analyze the appearance of synchronization provides an opportunity for verification of system parameters that are required for that, which is useful tool for shortening the time necessary for design of the system feature