Implementation of a new chaotic system based on field programmable gate array

Shao Shu-Yi; Min Fu-Hong; Wu Xue-Hong; Zhang Xin-Guo

doi:10.7498/aps.63.060501

Abstract

A new five-dimensional modified Chua’s system is proposed and its dynamic properties are investigated through numerical simulations, the stabilization of equilibrium points, bifurcation diagrams, and Lyapunov exponent spectrum. The different dynamic behaviors of the new system are analyzed with system parameters changed. Based on the mathematical model of the new system and the digital processing technology, the five-dimensional modified Chua’s system is discretized. According to IEEE-754 standard and module-based design idea, basic floating-point operational modules are designed. Furthermore, the chaotic attractors of the five-dimensional modified Chua’s system are realized by field programmable gate array. The investigation results show that the chaotic system is different from the existing chaotic systems. It also shows a good agreement between numerical simulation and hardware implementation, which proves the existence and realizability of the new chaotic system.

Keywords:

chaotic system /
dynamical behavior /
field programmable gate array implementation

Authors and contacts

1.
School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China;
2.
School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51075275), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20131402), the Scientific Research Staring Foundation for the Returned Overseas Chinese Scholars of Ministry of Education, China (Grant No. 20121707), and the "Summit of the Six Top Talents" Program of Jiangsu Province, China.

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Cited By

[1]	Chen G, Dong X 1998 From Chaos to Order: Methodologies, Perspectives and Applications (Singapore: World Scientific)
[2]	Chen G R, Ueta T 1999 Int. J. Bifur. Chaos 9 1465
[3]	L J H, Chen G R 2002 Int. J. Bifur. Chaos 12 659
[4]	Yu F, Wang C H, Yin J W, Xu H 2012 Acta Phys. Sin. 61 020506 (in Chinese) [余飞, 王春华, 尹晋文, 徐浩 2012 物理学报 61 020506]
[5]	Liu C X, Liu T, Liu L, Liu K 2004 Chaos Solition. Fract. 22 1031
[6]	Luo M W, Luo X H, Li H Q 2013 Acta Phys. Sin. 62 020512 (in Chinese) [罗明伟, 罗小华, 李华青 2013 物理学报 62 020512]
[7]	Shao S Y, Min F H, Ma M L, Wang E R 2013 Acta Phys. Sin. 62 130504 (in Chinese) [邵书义, 闵富红, 马美玲, 王恩荣 2013 物理学报 62 130504]
[8]	Hua C C, Yang B, Ouyang G X, Guan X P 2005 Phys. Lett. A 342 305
[9]	Wang Z, Huang X, Li Y X, Song X N 2013 Chin. Phys. B 22 010504
[10]	Guan Z H, Huang F J, Guan W J 2005 Phys. Lett. A 346 153
[11]	Wang X Y, Luan D P 2013 Commun. Nonlin. Sci. Numer. Simulat. 18 3075
[12]	Jin J 2012 Opt. Lasers Eng. 50 1836
[13]	Zhou X Y 2012 Acta Phys. Sin. 61 030504 (in Chinese) [周小勇 2012 物理学报 61 030504]
[14]	Li C L, Yu S M, Luo X S 2012 Acta Phys. Sin. 61 110502 (in Chinese) [李春来, 禹思敏, 罗晓曙 2012 物理学报 61 110502]
[15]	Feng C W, Cai L, Kang Q, Zhang L S 2011 Acta Phys. Sin. 60 030503 (in Chinese) [冯朝文, 蔡理, 康强, 张立森 2011 物理学报 60 030503]
[16]	Wang G Y, Qiu S S, Li H W, Li C F, Zheng Y 2006 Chin. Phys. 15 2872
[17]	Kim D, Chang P H, Kim S H 2013 Nonlin. Dyn. 73 1883
[18]	Abooee A, Yaghini-Bonabi H A, Jahed-Motlagh M R 2013 Commun. Nonlin. Sci. Numer. Simulat. 18 1235
[19]	Liu Q, Fang J Q, Zhao G, Li Y 2012 Acta Phys. Sin. 61 130508 (in Chinese) [刘强, 方锦清, 赵耿, 李永 2012 物理学报 61 130508]
[20]	Azzaz M S, Tanougast C, Sadoudi S, Fellah R, Dandache A 2013 Commun. Nonlinear Sci. Numer. Simulat. 18 1792
[21]	Wang Z L 2008 Comput. Eng. Appl. 44 84 (in Chinese) [王忠林 2008 计算机工程与应用 44 84]
[22]	Wang Z L, Wang G Y 2009 Comput. Eng. Des. 30 3365 (in Chinese) [王忠林, 王光义 2009 计算机工程与设计 30 3365]
[23]	Wang G Y, Bao X L, Wang Z L 2008 Chin. Phys. B 17 3596
[24]	Zhou W J, Yu S M 2009 Acta Phys. Sin. 58 113 (in Chinese) [周武杰, 禹思敏 2009 物理学报 58 113]
[25]	Zhou W J, Yu S M 2008 Acta Phys. Sin. 57 4738 (in Chinese) [周武杰, 禹思敏 2008 物理学报 57 4738]
[26]	Yin Y Z 1996 Int. J. Bifurc. Chaos 6 2101

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Catalog

Vol. 63, Issue 6 - 2014-03-20

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