Synchronization of a chaotic particle with ϕ6ϕ6 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 ϕ6ϕ6 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.