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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...
Influences of time delay and noise on the chaotic motion of a prototypical bistable system with delayed state feedback under additive bounded noise excitation are studied theoretically and numerically in this Letter. A random Melnikov's technique is employed to analyze the chaotic behavior of the system. Analytical analyses reveal that for negative feedback the presence of time delay lowers the threshold...
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