A new perturbation method to the Tent map and its application  

作　　者：王兴元 王林林 

机构地区：[1]Faculty of Electronic Information and Electrical Engineering,Dalian University of Technology

出　　处：《Chinese Physics B》2011年第5期191-198,共8页中国物理B（英文版）

基　　金：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);the Natural Science Foundation of Liaoning Province of China (Grant No. 20082165)

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 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.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.

关 键 词：PERTURBATION TENT DEGRADATION CHAOTIC 

分 类 号：O415.5[理学—理论物理] TP309.7[理学—物理]