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Chin. Phys. B, 2010, Vol. 19(7): 070510    DOI: 10.1088/1674-1056/19/7/070510
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Implementation of a novel two-attractor grid multi-scroll chaotic system

Luo Xiao-Hua(罗小华)a)†, Tu Zheng-Wei(涂正伟)a), Liu Xi-Rui(刘希瑞)a), Cai Chang(蔡昌)a), Liang Yi-Long(梁亦龙) b), and Gong Pu(龚璞)a)
a College of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; b College of Biological Information, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract  This paper proposed a method of generating two attractors in a novel grid multi-scroll chaotic system. Based on a newly generated three-dimensional system, a two-attractor grid multi-scroll attractor system can be generated by adding two triangular waves and a sign function. Some basic dynamical properties, such as equilibrium points, bifurcations, and phase diagrams, were studied. Furthermore, the system was experimentally confirmed by an electronic circuit. The circuit simulation results and numerical simulation results verified the feasibility of this method.
Keywords:  chaos      grid multi-scroll attractor      two-attractor grid multi-scroll chaotic system      circuit simulation  
Received:  03 November 2009      Revised:  03 February 2010      Accepted manuscript online: 
PACS:  05.45.Pq (Numerical simulations of chaotic systems)  
  05.45.Ac (Low-dimensional chaos)  
  02.30.Oz (Bifurcation theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60972069) and the Science and Technology Foundation of the Education Department of Chongqing (Grant No. KJ090513).

Cite this article: 

Luo Xiao-Hua(罗小华), Tu Zheng-Wei(涂正伟), Liu Xi-Rui(刘希瑞), Cai Chang(蔡昌), Liang Yi-Long(梁亦龙), and Gong Pu(龚璞) Implementation of a novel two-attractor grid multi-scroll chaotic system 2010 Chin. Phys. B 19 070510

[1] Lorenz E N 1963 J. Atmos. Sci. 20 130
[2] Matsumoto T, Chua L O and Komuro M 1985 IEEE Trans. CAS 32 798
[3] Suykens J and Vandewalle J 1993 IEEE Trans. CAS2 I 40 861
[4] Yalcin M E, Suykens J and Vandewalle J 2000 IEEE Trans. CAS2 I 47 425
[5] Tang W K S, Zhong G Q, Chen G and Man K F 2001 IEEE Trans. CAS I 48 1369
[6] Zhong G Q, Man K F and Chen G R Int. J. Bifurc. Chaos 12 2907
[7] Yu S M, Qiu S S and Lin Q H 2003 Sci. Chin. F 46 104
[8] Elwakil A S and Kennedy M P 2000 Int. J. Circ. Theor. Appl. 28 319
[9] Yu S M, Lin Q H and Qiu S S 2004 Acta Phys. Sin. 53 2084 (in Chinese)
[10] Yu S M, Ma Z G, Qiu S S, Peng S G and Lin Q H 2004 Chin. Phys. 13 317
[11] Lü J H, Han F, Yu X and Leung H 2004 IEEE Trans. Circuits Syst. I 51 2476
[12] Yu S M, Lü J H and Chen G R 2007 IEEE Trans. Circuits Syst. I 54 2087
[13] Yu S M, L"u J H and Chen G R 2007 Chaos 17 013118
[14] Yu S M, Tang K S and Chen G R 2007 Int. J. Bifur. Chaos 17 3951
[15] Liu F, Liu S D, Liu G and Liu S K 2007 Acta Phys. Sin. 56 5629 (in Chinese)
[16] Wang F Q, Liu C X and Lu J J 2006 Acta Phys. Sin. 55 3289 (in Chinese)
[17] Yu S M 2005 Acta Phys. Sin. 54 1500 (in Chinese)
[18] Zhang Z X and Yu S M 2009 Acta Phys. Sin. 58 120 (in Chinese)
[19] Wang F Q and Liu C X 2007 Acta Phys. Sin. 56 1983 (in Chinese) endfootnotesize
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