A New 3D Four-Wing Chaotic System with Cubic Nonlinearity and Its Circuit Implementation
LIU Xing-Yun
College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002Hubei Key Laboratory of Bioanalytical Technique, Hubei Normal University, Huangshi 435002
A New 3D Four-Wing Chaotic System with Cubic Nonlinearity and Its Circuit Implementation
LIU Xing-Yun
College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002Hubei Key Laboratory of Bioanalytical Technique, Hubei Normal University, Huangshi 435002
摘要A new 3D four-wing smooth autonomous chaotic system in which each equation contains a cubic product term is presented and physically implemented. Spectral analysis shows that the four-wing chaotic attractor has extremely wide frequency bandwidth compared with that of the Lorenz system and other four-wing chaotic systems, which is important in some relevant engineering applications such as secure communications.
Abstract:A new 3D four-wing smooth autonomous chaotic system in which each equation contains a cubic product term is presented and physically implemented. Spectral analysis shows that the four-wing chaotic attractor has extremely wide frequency bandwidth compared with that of the Lorenz system and other four-wing chaotic systems, which is important in some relevant engineering applications such as secure communications.
LIU Xing-Yun. A New 3D Four-Wing Chaotic System with Cubic Nonlinearity and Its Circuit Implementation[J]. 中国物理快报, 2009, 26(9): 90504-090504.
LIU Xing-Yun. A New 3D Four-Wing Chaotic System with Cubic Nonlinearity and Its Circuit Implementation. Chin. Phys. Lett., 2009, 26(9): 90504-090504.
[1] Chen G and Dong X 1998 From Chaos to Order(Singapore: World Scientific) chap 11 p 537 [2] Chen G and L\"{u J 2003 Dynamical Analysis, Controland Synchronization of the Generalized Lorenz Systems Family(Beijing: Science Press) p 183 (in Chinese) [3] Chua L O and Roska T 1993 IEEE Trans. Circuits Syst.I 40 147 [4] Suykens J A K and Vandewalle J 1993 IEEE Trans.Circuits Syst. I 40 861 [5] Yalcin M E et al 2002 Int. J. Bifur. Chaos 1223 [6] L\"{u J et al 2004 Automatica 40 1677 [7] L\"{u J, Chen G and Yu X 2004 IEEE Trans. CircuitsSyst. I 51 2476 [8] Zhong G 1994 IEEE Trans. Circuits Syst. I 41934 [9] Van\v{c\v{cek A and \v{Celikovsk\'{y S 1996 Control Systems: From Linear Analysis to Synthesis of Chaos(London: Prentice-Hall) p 24 [10] Chen G and Ueta T 1999 Int. J. Bifur. Chaos 91465 [11] L\"{u J et al 2002 Int. J. Bifur. Chaos 122917 [12] \v{Celikovsk\'{y S and Chen G 2002 Int. J. Bifur.Chaos 12 1789 [13] Qi G et al 2005 Chaos, Solitons Fractals 231671 [14] Qi G and Chen G 2006 Phys. Lett. A 352 386 [15] Qi G, Chen G and Zhang Y 2008 Chaos, SolitonsFractals 38 705 [16] Zhao L et al 2009 Chin. Phys. Lett. 26 060502 [17] Qian Z, Chen Z and Yuan Z 2008 Chin. Phys. Lett. 25 3169 [18] L\"{u J, Chen G and Cheng D 2004 Int. J. Bifur.Chaos 14 1507 [19] Qi G and Chen G 2006 Int. J. Bifur. Chaos 16859 [20] Li S, Alvarez G and Chen G 2005 Chaos, SolitonsFractals 25 109 [21] Al-Sawalha M M and Noorani M S M 2008 Chin. Phys.Lett. 25 2743 [22] Baghious E H and Jarry P 1993 Int. J. Bifur. Chaos 3 201 [23] Elwakil A S and Kennedy M P 2001 IEEE Trans.Circuits Syst. I 48 289 [24] Elwakil A S et al 2002 IEEE Trans. Circuits Syst. I 49 527