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Pozycja Synchronization of mechanical oscillators excited kinematically.(Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2008) Perlikowski, PrzemysławIn this paper, the behaviour of a system of coupled mechanical oscillators excited kinematically was studied numerically. Several methods of detection of synchronization were shown and advantages of each were mentioned. The relation between Lyapunov exponents and the synchronization state under different kinds of the excitation signal (harmonic, periodic and chaotic ones) was presented. It was demonstrated that the mode locking with excitation was dependent only on inner damping and completely uncorrelated with the connection between oscillators.Pozycja Synchronization of two forced double-well duffing oscillators with attached pendulums.(Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2013) Brzeski, Piotr; Karmazyn, Anna; Perlikowski, PrzemysławWe investigate the dynamics of two coupled Duffing oscillators with attached pendulums forced kinematically by a common signal. Our attention is focused on different kinds of synchronization which can appear in the considered system. Different types of coupling (spring, damper and spring and damper simultaneously) are taken into account. We show in a two-parameters space (amplitude and frequency of excitation) existence of complete and phase synchronization and asynchronous ranges.