Spatio-temporal synchronization of coupled parametrically excited pendulum arrays

In this paper, parametrically excited chaotic pendulum arrays are considered with the spatial diffusive coupling. The drive array undergoes extremely irregular behavior. both temporally as well as spatially. To synchronize two coupled spatio-temporal chaotic arrays, the periodic feedback method is used. The synchronization condition is given to determine the critical values of periodic characteristic time and feedback weight. Furthermore, the influences of noise and parameter mismatch on synchronization are investigated. It is found that the periodic feedback method has strong robustness to noise and parameter mismatch, which promises its potential application in synchronizing parametrically excited pendulums. (C) 2001 Academic Press.