A novel three-dimensional autonomous chaotic system

Feng Chao-Wen; Cai Li; Kang Qiang; Zhang Li-Sen

doi:10.7498/aps.60.030503

Abstract

Based on the study of Chua’s circuit, a novel chaotic system is reported. Basic dynamical properties of the new system are further investigated via theoretical analysis and numerical simulation, including Lyapunov exponent, Lyapunov dimension, portrait diagrams, Lyapunov exponent spectrum, bifurcation diagrams, Poincaré mapping and power spectrum. Finally, an electronic circuit is designed by the Orcad-PSpice softeware to implement the new system. The investigation results show that the new chaotic system has broad parameter regions, an maximum Lyapunov exponent approaching one, and is not topologically equivalent to Chua’s circuit. It also shows a good agreement between numerical simulation and circuit experimental simulation, which proves the existence and physical realizability of the new chaotic system.

Keywords:

Authors and contacts

1.
College of Science, Air Force Engineering University, Xi’an, Shaanxi 710051, China

References

[1]	Lorenz E N 1963Atoms. Sci. 20 130
[2]	Rssler O E 1976 Phys. Lett. A 57 397
[3]	Chen G R, Ueta T 1999 Int. J. Bifurc. Chaos 9 1465
[4]	Lü J H, Chen G R 2002 Int. J. Bifurc. Chaos 12 659
[5]	Matsumoto T 1984 IEEE Trans. Circuit Syst. 31 1055
[6]	Yin Y Z 1996 Int. J. Bifurc. Chaos 6 2101
[7]	Liu C X 2002 Acta Phys. Sin. 51 1198 (in Chinese)[刘崇新 2002 物理学报51 1198]
[8]	Zhong G Q, Man K F, Chen G R 2002 Int. J. Bifurc. Chaos 12 2907
[9]	Yu S M, Qiu S S, Lin Q H 2003 Sci. China E 33 365
[10]	Li Y, Yu S M, Dai Q Y, Liu M H, Liu Q 2006 Acta Phys. Sin. 55 3938 (in Chinese)[李亚、禹思敏、戴青云、刘明华、刘庆 2006 物理学报55 3938]
[11]	Chen L, Peng H J, Wang D S 2008 Acta Phys. Sin. 57 3337 (in Chinese)[谌龙、彭海军、王德石 2008 物理学报57 3337]
[12]	Chua L O, Lin G N 1990 IEEE Trans. Circuits Syst. 37 885

Cited By

[1]	Lorenz E N 1963Atoms. Sci. 20 130
[2]	Rssler O E 1976 Phys. Lett. A 57 397
[3]	Chen G R, Ueta T 1999 Int. J. Bifurc. Chaos 9 1465
[4]	Lü J H, Chen G R 2002 Int. J. Bifurc. Chaos 12 659
[5]	Matsumoto T 1984 IEEE Trans. Circuit Syst. 31 1055
[6]	Yin Y Z 1996 Int. J. Bifurc. Chaos 6 2101
[7]	Liu C X 2002 Acta Phys. Sin. 51 1198 (in Chinese)[刘崇新 2002 物理学报51 1198]
[8]	Zhong G Q, Man K F, Chen G R 2002 Int. J. Bifurc. Chaos 12 2907
[9]	Yu S M, Qiu S S, Lin Q H 2003 Sci. China E 33 365
[10]	Li Y, Yu S M, Dai Q Y, Liu M H, Liu Q 2006 Acta Phys. Sin. 55 3938 (in Chinese)[李亚、禹思敏、戴青云、刘明华、刘庆 2006 物理学报55 3938]
[11]	Chen L, Peng H J, Wang D S 2008 Acta Phys. Sin. 57 3337 (in Chinese)[谌龙、彭海军、王德石 2008 物理学报57 3337]
[12]	Chua L O, Lin G N 1990 IEEE Trans. Circuits Syst. 37 885

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