Chaos synchronization of two parametrically excited pendulums

Two desynchronous parametrically excited chaos pendulums demonstrate a type of hyperchaotic behavior. This paper presents a periodic feedback scheme t o synchronize the two pendulum subsystems. The synchronization principle is investigated. Feedback control parameters are discussed. The synchronous p arameter intervals in which the maximum transverse Lyapunov exponent is neg ative guarantee the achievement of synchronization. Two originally unrelate d tumbling chaos pendulums can be synchronized by this method in the interv als. (C) 1999 Academic Press.