| GENERAL |
|
|
|
|
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 |
|
| Cite this article: |
|
LIU Xing-Yun 2009 Chin. Phys. Lett. 26 090504 |
|
|
|
|
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.
|
| Keywords:
05.45.Vx
05.45.Gg
|
|
|
Received: 26 March 2009
Published: 28 August 2009
|
|
| PACS: |
05.45.Vx
|
(Communication using chaos)
|
| |
05.45.Gg
|
(Control of chaos, applications of chaos)
|
|
|
|
|
|
[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 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
