Abstract
Dynamical degradation of digital chaos and security in chaotic synchronization are two bottleneck problems in chaos-based applications. Focusing on both of them, this paper studies the construction of digital chaotic systems without degeneration, as well as information leakage in synchronization of analog chaotic systems. A universal analog-digital hybrid mechanism is proposed, in which an analog chaotic system is introduced to construct digital chaos. Meanwhile, in order to achieve secure synchronization, the impulsive synchronization signals generated by the constructed digital chaotic systems have been used to control the local analog chaotic systems instead of sending a driving signal to the receiver. Remarkably, a previously unknown chaotic attractor has been discovered under such mutual control. The matching theoretical analyses are given to guarantee the validity of the constructed digital chaos and the synchronization of the analog chaotic systems. Simulation studies of a concrete scheme are conducted to illustrate the universality of the hybrid mechanism.
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