中国物理B ›› 2011, Vol. 20 ›› Issue (5): 50509-050509.doi: 10.1088/1674-1056/20/5/050509

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A new perturbation method to the Tent map and its application

王兴元, 王林林   

  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
  • 收稿日期:2010-11-23 修回日期:2010-12-30 出版日期:2011-05-15 发布日期:2011-05-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Doctoral Program Foundation of Institution of Higher Education of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning P

A new perturbation method to the Tent map and its application

Wang Xing-Yuan(王兴元)† and Wang Lin-Lin(王林林)‡   

  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
  • Received:2010-11-23 Revised:2010-12-30 Online:2011-05-15 Published:2011-05-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Doctoral Program Foundation of Institution of Higher Education of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province of China (Grant No. 20082165).

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摘要： Disturbance imposed on the chaotic systems is an effective way to maintain its chaotic good encryption features. This paper proposes a new perturbation method to the Tent map. First it divides the Tent map domain into 2^N parts evenly and selects a particular part from them, then proliferates the Tent map mapping trajectory of this particular part, which can disturb the entire system disturbance. The mathematical analysis and simulated experimental results prove that the disturbed Tent map has uniform invariant distribution and can produce good cryptographic properties of pseudo-random sequence. These facts avoid the phenomenon of short-period caused by the computer's finite precision and reducing the sequence's dependence on the disturbance signal, such that effectively compensate for the digital chaotic system dynamics degradation.

关键词: perturbation, Tent, degradation, chaotic

Abstract: Disturbance imposed on the chaotic systems is an effective way to maintain its chaotic good encryption features. This paper proposes a new perturbation method to the Tent map. First it divides the Tent map domain into 2N parts evenly and selects a particular part from them, then proliferates the Tent map mapping trajectory of this particular part, which can disturb the entire system disturbance. The mathematical analysis and simulated experimental results prove that the disturbed Tent map has uniform invariant distribution and can produce good cryptographic properties of pseudo-random sequence. These facts avoid the phenomenon of short-period caused by the computer's finite precision and reducing the sequence's dependence on the disturbance signal, such that effectively compensate for the digital chaotic system dynamics degradation.

Key words: perturbation, Tent, degradation, chaotic

中图分类号:  (High-dimensional chaos)

  • 05.45.Jn
05.45.Xt (Synchronization; coupled oscillators)