Xia Weiguo, Cao Jinde
Department of Mathematics, Southeast University, Nanjing 210096, China.
Chaos. 2008 Jun;18(2):023128. doi: 10.1063/1.2937017.
This paper studies the adaptive synchronization of a switching system with unknown parameters which switches between the Rössler system and a unified chaotic system. Using the Lyapunov stability theory and adaptive control method, the receiver system will achieve synchronization with the drive system and the unknown parameters would be estimated by the receiver. Then the proposed switching system is used for secure communications based on the communication schemes including chaotic masking, chaotic modulation, and chaotic shift key strategies. Since the system switches between two chaotic systems and the parameters are almost unknown, it is more difficult for the intruder to extract the useful message from the transmission channel. In addition, two new schemes in which the chaotic signal used to mask (or modulate) the transmitted signal switches between two components of a chaotic system are also presented. Finally, some simulation results are given to show the effectiveness of the proposed communication schemes.
本文研究了一个参数未知的切换系统的自适应同步问题，该系统在罗斯勒系统和一个统一混沌系统之间进行切换。利用李雅普诺夫稳定性理论和自适应控制方法，接收系统将与驱动系统实现同步，并且接收端能够估计未知参数。然后，基于包括混沌掩盖、混沌调制和混沌移位键控策略在内的通信方案，将所提出的切换系统用于安全通信。由于该系统在两个混沌系统之间切换且参数几乎未知，入侵者从传输信道提取有用消息变得更加困难。此外，还提出了两种新方案，其中用于掩盖（或调制）传输信号的混沌信号在混沌系统的两个分量之间切换。最后，给出了一些仿真结果以表明所提出通信方案的有效性。
