Synchronization of a chaotic particle with φ6 potential

The phenomenon whether common noise can induce complete synchronization in identical chaotic systems has been a topic of great relevance and longstanding controversy in the past decade. The present Letter extends to explore the injection of a common signal, either bounded noise or another chaotic driving. to the trajectories of chaotic systems can successfully induce complete synchronization. We illustrate a particular example of a particle with phi(6) potential in the chaotic region, and give numerical evidence showing that the addition of a common signal to different trajectories, which start from different initial conditions, leads eventually to their perfect synchronization when the largest Lyapunov exponent becomes negative. (c) 2006 Elsevier B.V. All rights reserved.