吉林大学学报(工学版) ›› 2003, Vol. ›› Issue (3): 60-63.

Previous Articles     Next Articles

Chaotic synchronization of Lorenz systems and secure communication

HUANG Bao-xing   

  1. School of Physics and Information Engineering, Jianghan University, Wuhan 430056, China
  • Received:2003-01-04

Abstract: The chaotic synchronization of Lorenz systems are investigated via a nonlinear feedback method.The stability in zero of the error dynamical system of the two Lorenz systems is verified by the second Lyapunov method.The synchronization conditions are that two systems have the same equation construction and the same parameters and no relation to the initial values of the response system.A schem of chaotic communication based on the chaotic synchronization is presented.The message signals is mixed to the chaotic drive signals to be the pretend transmitted signals.The equation construction and the parameters of the response system can be the cipher based on the synchronization to control the synchronization of two systems.The message signals are recovered and the secure communication is achieved.

Key words: chaotic synchronization, drive system, response system, cipher key

CLC Number: 

  • O415
[1] PECORA L M,CARROLL T L.Synchronization in chaotic systems[J].PhysRev Lett,1990,64:821-824.
[2] CARROLL T L,PECORA L M.Synchronizing chaotic circuits[J].IEEE Transactions on Circuits Systems,1991,38:4-8.
[3] 陶朝海,陆君安,吕金虎.统一混沌系统的反馈同步[J].物理学报,2002,51(7):1497-1501.
[4] 陈士华,谢进,陆君安,等.Rssler混沌系统的追踪控制与同步[J].物理学报,2002,51(4):749-752.
[5] 王光瑞,于熙龄,陈式刚.混沌的控制、同步与利用[M].北京:国防工业出版社,2001.
[6] LÜ J,CHEN G,ZHANG S.Bridge the gap betaseen the Lorenz system and Chen system[J].Int J of Bifure Chass,2002,12(12):2917-2926.
[1] YANG Fang, Wang-Qing-Nian, LU Jing-Min, ZHENG Yi-Hong. Comparison between hybrid commercial vehicles simulation model and test [J]. 吉林大学学报(工学版), 2010, 40(增刊): 35-0038.
[2] WANG Mao-lin,LIU Shao-wei,SUN Xiao-dong. New frequency estimation method for sinusoidal signal submerged incomplicatednoise [J]. 吉林大学学报(工学版), 2009, 39(增刊2): 371-0375.
[3] SUN Xiao-Dong, SHI Yao-Wu, YU Xiao-Hui. New frequency estimation method for sinusoidal signal submerged in strong chaotic background [J]. 吉林大学学报(工学版), 2009, 39(05): 1353-1357.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!