A new perturbation method to the Tent map and its application

doi:10.1088/1674-1056/20/5/050509

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 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.

Keywords: perturbation Tent degradation chaotic

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

[1]	A color image encryption algorithm based on hyperchaotic map and DNA mutation Xinyu Gao(高昕瑜), Bo Sun(孙博), Yinghong Cao(曹颖鸿), Santo Banerjee, and Jun Mou(牟俊). Chin. Phys. B, 2023, 32(3): 030501.
[2]	Atomic simulations of primary irradiation damage in U-Mo-Xe system Wen-Hong Ouyang(欧阳文泓), Jian-Bo Liu(刘剑波), Wen-Sheng Lai(赖文生),Jia-Hao Li(李家好), and Bai-Xin Liu(柳百新). Chin. Phys. B, 2023, 32(3): 036101.
[3]	Asymmetric image encryption algorithm based ona new three-dimensional improved logistic chaotic map Guo-Dong Ye(叶国栋), Hui-Shan Wu(吴惠山), Xiao-Ling Huang(黄小玲), and Syh-Yuan Tan. Chin. Phys. B, 2023, 32(3): 030504.
[4]	Atomistic insights into early stage corrosion of bcc Fe surfaces in oxygen dissolved liquid lead-bismuth eutectic (LBE-O) Ting Zhou(周婷), Xing Gao(高星), Zhiwei Ma(马志伟), Hailong Chang(常海龙), Tielong Shen(申铁龙), Minghuan Cui(崔明焕), and Zhiguang Wang(王志光). Chin. Phys. B, 2023, 32(3): 036801.
[5]	Realizing reliable XOR logic operation via logical chaotic resonance in a triple-well potential system Huamei Yang(杨华美) and Yuangen Yao(姚元根). Chin. Phys. B, 2023, 32(2): 020501.
[6]	Lossless embedding: A visually meaningful image encryption algorithm based on hyperchaos and compressive sensing Xing-Yuan Wang(王兴元), Xiao-Li Wang(王哓丽), Lin Teng(滕琳), Dong-Hua Jiang(蒋东华), and Yongjin Xian(咸永锦). Chin. Phys. B, 2023, 32(2): 020503.
[7]	High performance SiC trench-type MOSFET with an integrated MOS-channel diode Jie Wei(魏杰), Qinfeng Jiang(姜钦峰), Xiaorong Luo(罗小蓉), Junyue Huang(黄俊岳), Kemeng Yang(杨可萌), Zhen Ma(马臻), Jian Fang(方健), and Fei Yang(杨霏). Chin. Phys. B, 2023, 32(2): 028503.
[8]	Laboratory demonstration of geopotential measurement using transportable optical clocks Dao-Xin Liu(刘道信), Jian Cao(曹健), Jin-Bo Yuan(袁金波), Kai-Feng Cui(崔凯枫), Yi Yuan(袁易),Ping Zhang(张平), Si-Jia Chao(晁思嘉), Hua-Lin Shu(舒华林), and Xue-Ren Huang(黄学人). Chin. Phys. B, 2023, 32(1): 010601.
[9]	A novel algorithm to analyze the dynamics of digital chaotic maps in finite-precision domain Chunlei Fan(范春雷) and Qun Ding(丁群). Chin. Phys. B, 2023, 32(1): 010501.
[10]	Data encryption based on a 9D complex chaotic system with quaternion for smart grid Fangfang Zhang(张芳芳), Zhe Huang(黄哲), Lei Kou(寇磊), Yang Li(李扬), Maoyong Cao(曹茂永), and Fengying Ma(马凤英). Chin. Phys. B, 2023, 32(1): 010502.
[11]	Nonlinear optical rectification of GaAs/Ga_1-xAl_xAs quantum dots with Hulthén plus Hellmann confining potential Yi-Ming Duan(段一名) and Xue-Chao Li(李学超). Chin. Phys. B, 2023, 32(1): 017303.
[12]	Degradation and breakdown behaviors of SGTs under repetitive unclamped inductive switching avalanche stress Chenkai Zhu(朱晨凯), Linna Zhao(赵琳娜), Zhuo Yang(杨卓), and Xiaofeng Gu(顾晓峰). Chin. Phys. B, 2022, 31(9): 097303.
[13]	A modified heuristics-based model for simulating realistic pedestrian movement behavior Wei-Li Wang(王维莉), Hai-Cheng Li(李海城), Jia-Yu Rong(戎加宇), Qin-Qin Fan(范勤勤), Xin Han(韩新), and Bei-Hua Cong(丛北华). Chin. Phys. B, 2022, 31(9): 094501.
[14]	Oscillation properties of matter-wave bright solitons in harmonic potentials Shu-Wen Guan(关淑文), Ling-Zheng Meng(孟令正), and Li-Chen Zhao(赵立臣). Chin. Phys. B, 2022, 31(8): 080506.
[15]	Exponential sine chaotification model for enhancing chaos and its hardware implementation Rui Wang(王蕊), Meng-Yang Li(李孟洋), and Hai-Jun Luo(罗海军). Chin. Phys. B, 2022, 31(8): 080508.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

A new perturbation method to the Tent map and its application

Cite this article:

Online attention