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Synchronization of coupled mechanical oscillators

Perlikowski P., Stefański A.

Mechanics and Mechanical Engineering

2006

Vol. 10, nr 1

110-116

Complete synchronization of coupled chaotic systems is usually a primary and crucial issue. Coupling in mechanical systems introduces mutual perturbation of their dynamics. In case of identical systems such perturbation can lead to the synchronization. We can predict the synchronization threshold of such systems using a concept called Master Stability Function (MSF). As a tool of MSF we use transverse Lyapunov exponents, which characterize the stability of synchronization state. We show areas of synchronization in coupling parameters space in typical nonlinear systems: Duffing and Duffing - Van der Pol oscillators.