Generalized projective synchronization via the state observer and its application in secure communication

doi:10.1088/1674-1056/19/12/120505

Abstract Based on the improved state observer and the pole placement technique, by adding a constant which extends the scope of use of the original system, a new design method of generalized projective synchronization is proposed. With this method, by changing the projective synchronization scale factor, one can achieve not only complete synchronization, but also anti-synchronization, as well as arbitrary percentage of projective synchronization, so that the system may attain arbitrary synchronization in a relatively short period of time, which makes this study more meaningful. By numerical simulation, and choosing appropriate scale factor, the results of repeated experiments verify that this method is highly effective and satisfactory. Finally, based on this method and the relevant feedback concept, a novel secure communication project is designed. Numerical simulation verifies that this secure communication project is very valid, and moreover, the experimental result has been greatly improved in decryption time.

Keywords: state observer generalized projective synchronization secure communication

Received: 21 June 2010
Revised: 02 July 2010
Accepted manuscript online:

PACS:	05.45.Pq	(Numerical simulations of chaotic systems)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the China Postdoctoral Science Foundation (Grant No. 20080431142).

Cite this article:

Wu Di(吴迪) and Li Juan-Juan(李娟娟) Generalized projective synchronization via the state observer and its application in secure communication 2010 Chin. Phys. B 19 120505

[1]	Guan X P, Fan Z P, Chen C L and Hua C C 2002 Chaotic Control, Synchronization and Its Application in Secure Communication (Beijing: National Defence Industry Press) Chap. 9 (in Chinese)
[2]	Wang X Y and Wu X J 2006 Acta Phys. Sin. 55 606 (in Chinese)
[3]	Ma W and Wang Z O 2003 Commun. Theor. Phys. 39 385
[4]	Wu Z Q 2003 Journal of System Simulation 15 1314
[5]	Rosenblum M G, Pikovsky A S and Kurths J 1996 Phys. Rev. Lett. 76 180
[6]	Taherionl S and Lai Y C 1999 Phys. Rev. E 59 6247
[7]	Kocarev L and Parlitz U 1996 Phys. Rev. Lett. 76 1816
[8]	Yang S S and Duan K 1998 Chaos, Solitions and Fractals 10 1703
[9]	Li G H 2004 Acta Phys. Sin. 53 999 (in Chinese)
[10]	Zhang W P, Tang G N and Luo X S 2005 Acta Phys. Sin. 54 3497 (in Chinese)
[11]	Wang X Y and Meng J 2008 Acta Phys. Sin. 57 726 (in Chinese)
[12]	Liu J, Chen S H and Lu J A 2003 Acta Phys. Sin. 52 1595 (in Chinese)
[13]	Wang X Y and Wang Y 2007 Acta Phys. Sin. 56 2498 (in Chinese)
[14]	Yan J P and Li C P 2005 Chaos, Solitons and Fractals 26 1119
[15]	Min F H and Wang Z Q 2007 Acta Phys. Sin. 56 6239 (in Chinese)
[16]	Li C P and Yan J P 2006 Chaos, Solitons and Fractals 30 140
[17]	Li G H 2007 Chaos, Solitons and Fractals 32 1454 vglue.1pt
[18]	Li G H 2006 Chaos, Solitons and Fractals 30 77 vglue.1pt
[19]	Yu P and Lookman T 1997 Mini Symposium Cryptography, Toronto: Canadian Applied Mathematics Society vglue.1pt
[20]	Chu Y D, Li X F and Zhang J G 2007 Journal of Sichuan University (Natural Science Edition) 44 550 (in Chinese)

[1]	Novel traveling quantum anonymous voting scheme via GHZ states Wenhao Zhao(赵文浩) and Min Jiang(姜敏). Chin. Phys. B, 2023, 32(2): 020303.
[2]	Secure communication based on spatiotemporal chaos Ren Hai-Peng (任海鹏), Bai Chao (白超). Chin. Phys. B, 2015, 24(8): 080503.
[3]	A long-distance quantum key distribution scheme based on pre-detection of optical pulse with auxiliary state Quan Dong-Xiao (权东晓), Zhu Chang-Hua (朱畅华), Liu Shi-Quan (刘世全), Pei Chang-Xing (裴昌幸). Chin. Phys. B, 2015, 24(5): 050309.
[4]	Observer of a class of chaotic systems: An application to Hindmarsh-Rose neuronal model Luo Run-Zi (罗润梓), Zhang Chun-Hua (张春华). Chin. Phys. B, 2015, 24(3): 030503.
[5]	Full-order sliding mode control of uncertain chaos in a permanent magnet synchronous motor based on a fuzzy extended state observer Chen Qiang (陈强), Nan Yu-Rong (南余荣), Zheng Heng-Huo (郑恒火), Ren Xue-Mei (任雪梅). Chin. Phys. B, 2015, 24(11): 110504.
[6]	PC synchronization of a class of chaotic systems via event-triggered control Luo Run-Zi (罗润梓), He Long-Min (何龙敏). Chin. Phys. B, 2014, 23(7): 070506.
[7]	Finite-time sliding mode synchronization of chaotic systems Ni Jun-Kang (倪骏康), Liu Chong-Xin (刘崇新), Liu Kai (刘凯), Liu Ling (刘凌). Chin. Phys. B, 2014, 23(10): 100504.
[8]	Generalized projective synchronization of fractional-order complex networks with nonidentical nodes Liu Jin-Gui (刘金桂). Chin. Phys. B, 2012, 21(12): 120506.
[9]	A new three-dimensional chaotic system and its modified generalized projective synchronization Dai Hao(戴浩), Jia Li-Xin(贾立新), Hui Meng(惠萌), and Si Gang-Quan(司刚全) . Chin. Phys. B, 2011, 20(4): 040507.
[10]	Synchronization of spatiotemporal chaotic systems and application to secure communication of digital image Wang Xing-Yuan(王兴元), Zhang Na(张娜),Ren Xiao-Li(任小丽),and Zhang Yong-Lei(张永雷) . Chin. Phys. B, 2011, 20(2): 020507.
[11]	Generalized projective synchronization between two chaotic gyros with nonlinear damping Min Fu-Hong(闵富红) . Chin. Phys. B, 2011, 20(10): 100503.
[12]	Improvement on generalised synchronisation of chaotic systems Zhu Hui-Bin(朱会宾),Qiu Fang(邱芳), and Cui Bao-Tong(崔宝同). Chin. Phys. B, 2010, 19(3): 030515.
[13]	Dynamic analysis of a new chaotic system with fractional order and its generalized projective synchronization Niu Yu-Jun(牛玉军), Wang Xing-Yuan(王兴元), Nian Fu-Zhong(年福忠), and Wang Ming-Jun(王明军). Chin. Phys. B, 2010, 19(12): 120507.
[14]	A simple method to simultaneously achieve synchronization and anti-synchronization in chaotic systems Li Rui-Hong(李瑞红), Chen Wei-Sheng(陈为胜), and Li Shuang(李爽) . Chin. Phys. B, 2010, 19(1): 010508.
[15]	Extraction of periodic signals in chaotic secure communication using Duffing oscillators Wang Yun-Cai(王云才), Zhao Qing-Chun(赵清春), and Wang An-Bang(王安帮). Chin. Phys. B, 2008, 17(7): 2373-2376.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Generalized projective synchronization via the state observer and its application in secure communication

Cite this article:

Online attention