中国物理B ›› 2001, Vol. 10 ›› Issue (12): 1113-1117.doi: 10.1088/1009-1963/10/12/306

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SENSITIVE ERROR ANALYSIS OF CHAOS SYNCHRONIZATION

徐健学1, 黄显高2, 黄伟3, 吕泽均4   

  1. (1)School of Architectural Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China; (2)School of Architectural Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China; The Air Force University of Engineering, Xi'an 710038, China; (3)School of Telecommunication Engineering, Xidian University, Xi'an 710071, China; (4)University of Electronic Science and Technology, Chengdu 610054, China
  • 收稿日期:2001-04-26 修回日期:2001-06-17 出版日期:2001-12-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10172094), the Foundation of the National Defence Science and Technology Key Laboratory (Grant No. 51436) and the Doctor Foundation of Xi'an Jiaotong University (Grant No. DF

SENSITIVE ERROR ANALYSIS OF CHAOS SYNCHRONIZATION

Huang Xian-gao (黄显高)ab, Xu Jian-xue (徐健学)a, Huang Wei (黄伟)c, Lü Ze-jun (吕泽均)d   

  1. a School of Architectural Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China; b The Air Force University of Engineering, Xi'an 710038, China ; c School of Telecommunication Engineering, Xidian University, Xi'an 710071, China; d University of Electronic Science and Technology, Chengdu 610054, China
  • Received:2001-04-26 Revised:2001-06-17 Online:2001-12-15 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10172094), the Foundation of the National Defence Science and Technology Key Laboratory (Grant No. 51436) and the Doctor Foundation of Xi'an Jiaotong University (Grant No. DF

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摘要： We study the synchronizing sensitive errors of chaotic systems for adding other signals to the synchronizing signal. Based on the model of the Henon map masking, we examine the cause of the sensitive errors of chaos synchronization. The modulation ratio and the mean square error are defined to measure the synchronizing sensitive errors by quality. Numerical simulation results of the synchronizing sensitive errors are given for masking direct current, sinusoidal and speech signals, separately. Finally, we give the mean square error curves of chaos synchronizing sensitivity and three-dimensional phase plots of the drive system and the response system for masking the three kinds of signals.

Abstract: We study the synchronizing sensitive errors of chaotic systems for adding other signals to the synchronizing signal. Based on the model of the Henon map masking, we examine the cause of the sensitive errors of chaos synchronization. The modulation ratio and the mean square error are defined to measure the synchronizing sensitive errors by quality. Numerical simulation results of the synchronizing sensitive errors are given for masking direct current, sinusoidal and speech signals, separately. Finally, we give the mean square error curves of chaos synchronizing sensitivity and three-dimensional phase plots of the drive system and the response system for masking the three kinds of signals.

Key words: chaos synchronization, sensitive error

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
02.30.Uu (Integral transforms) 02.60.-x (Numerical approximation and analysis)