Synchronization of chaotic systems and on-off intermittency.

In this paper, a Langevin equation is used for a chaotic system near the synchronization transition. By mapping the motion of the driven system to a random walk, the universal -3/2 power law is obtained. It is also shown that the occurrence of on-off intermittency is a common feature of this transition. The numerical study on chaotically driven Duffing oscillators provides clear evidence to support this theoretical investigation. \textcopyright{} 1996 The American Physical Society.