Chaos synchronization and parameter identification for gyroscope system

Synchronization of chaos for a two-degree-of-freedom heavy symmetric gyroscope system are studied in this paper. Because of the nonlinear terms of the system, the system exhibits both regular and chaotic motions. By Lyapunov stability theory with control terms, by adaptive control and by random optimization method, the synchronization of two identical systems and tracking of the parameter of the systems are studied.