|
|
A new perturbation method to the Tent map and its application |
Wang Xing-Yuan(王兴元)† and Wang Lin-Lin(王林林)‡ |
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China |
|
|
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.
|
Received: 23 November 2010
Revised: 30 December 2010
Accepted manuscript online:
|
PACS:
|
05.45.Jn
|
(High-dimensional chaos)
|
|
05.45.Xt
|
(Synchronization; coupled oscillators)
|
|
Fund: 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). |
Cite this article:
Wang Xing-Yuan(王兴元) and Wang Lin-Lin(王林林) A new perturbation method to the Tent map and its application 2011 Chin. Phys. B 20 050509
|
[1] |
Gao H J, Zhang Y S, Liang S Y and Li D Q 2006 Choas, Solitons and Fractals 29 393
|
[2] |
Zhang H G, Ma D Z and Wang Z S 2010 Acta Phys. Sin. 59 147 (in Chinese)
|
[3] |
Xiang T, Liao X F, Tang G P, Chen Y A and Wong K W 2006 Phys. Lett. A 349 109
|
[4] |
Kohda T and Tsuneda A 1997 IEEE Trans. Inf. Theory 43 104
|
[5] |
Wang K, Pei W J, Hou X B, Hong S and He Z Y 2009 Phys. Lett. A 373 653
|
[6] |
Wang X Y and Wang X J 2008 Int. J. Mod. Phys. C 19 813
|
[7] |
Zhang H G 2007 Acta Phys. Sin. 56 3796 (in Chinese)
|
[8] |
Chen G and Lai D 1998 Int. J. Bifurcat. Chaos 8 1585
|
[9] |
Wang Y, Liao X, Xiang T, Wong K T and Yang D 2007 Phys. Lett. A 363 277
|
[10] |
Pareek N K, Patidar V and Sud K K 2003 Phys. Lett. A 309 75
|
[11] |
Emura T 2006 Phys. Lett. A 349 306
|
[12] |
Wong K W 2003 Phys. Lett. A 307 292
|
[13] |
Chen G R, Mao Y B and Chui C K 2004 Choas, Solitonas and Fractals 21 749
|
[14] |
Zhang H G, Ma T D, Fu J and Tong S C 2009 Chin. Phys. B 18 3751
|
[15] |
Wong W K, Lee L P and Wong K W 2001 Comput. Phys. Commun. 138 234
|
[16] |
Zhang H G, Fu J, Ma T D and Tong S C 2009 Chin. Phys. B 18 969
|
[17] |
Zhao Y, Zhang H G and Zheng C D 2008 Chin. Phys. B 17 529
|
[18] |
L"u L and Li G 2008 Acta Phys. Sin. 57 7517 (in Chinese)
|
[19] |
Rukhin A, Soto J, Nechvatal J, Smid M, Barker E, Leigh S, Levenson M, Vangel M, Banks D, Heckert A, Dray J and Vo S 2001 A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications NIST Special Publication 800-22 endfootnotesize
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|