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A Three Dimension Chaotic System and Its Circuit Realization(PDF)

南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2016年01期
Page:
1-
Research Field:
电气与电子工程
Publishing date:

Info

Title:
A Three Dimension Chaotic System and Its Circuit Realization
Author(s):
Wang ZhulinMin FuhongPeng GuangyaWang Yaoda
School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210042,China
Keywords:
circuit simulationchaotic systemdynamical behaviorchaotic circuit
PACS:
TP391.9
DOI:
-
Abstract:
In this paper,a new chaotic system is proposed and the dynamic characteristics of the system are analyzed through the phase trajectories of the new system,the power spectrum,bifurcation diagram,and Lyapunov exponent spectra,and the existence of the new system coexistence is discovered. With the different initial values,the system has shown that the coexistence of different motions disappears with the change of parameters. Finally,the circuit simulation results are in agreement with the numerical simulation which proves that the new chaotic system circuit is physically achievable.

References:

[1] 陈关荣,吕金虎. Lorenz系统族的动力学分析、控制与同步[M]. 北京:科学出版社,2003.
CHEN G R,LU J H. Family Lorenz system dynamics analysis,control and synchronization[M]. Beijing:Science Press,2003.(in Chinese)
[2] LORENZ E N. Deterministic nonperiodic flow[J]. Journal of the atmospheric sciences,1963,20(5):130-141.
[3] ROSSLER O E. An equation for continuous chaos[J]. Physical letters A,1976,57(5):397-398.
[4] CHUA L O,KOMURO M,MATSUMOTO T. The double scroll family[J]. IEEE transactions on circuits and systems,1986,33(11):1 072-1 096.
[5] CHEN G R,UETA T. Yet another chaotic attractor[J]. International journal of bifurcation & chaos,1999,9(7):1 465-1 466.
[6] CHEN G R,DONG X. From chaos to order:methodologies,perspectives and applications[M]. Singapore:World Scientific,1998.
[7] Lü J H,CHEN G R,CHENG D Z,et al. Bridge the gap between the Lorenz system and the Chen system[J]. International journal of bifurcation & chaos,2002,12(12):2 917-2 926.
[8] LIU C X,LIU T,LIU L,et al. A new chaotic attractor[J]. Chaos,solitons & fractals,2004,22(5):1 031-1 038.
[9] LIU C X,LIU L,LIU T,et al. A new butterfly-shaped attractor of Lorenz-like system[J]. Chaos,solitons & fractals,2006,28(5):1 196-1 203.
[10] QI G Y,DU S Z,CHEN G R,et al. On a four-dimensional chaotic system[J]. Chaos,solitons & fractals,2005,23(5):1 671-1 682.
[11] CHEN A M,LU J A,LU J H,et al. Generating hyperchaotic Lü attractor via state feedback control[J]. International journal of bifurcation & chaos,2005,364:103-110.
[12] 张建雄,唐万生,徐勇. 一个新的三维混沌系统[J]. 物理学报,2008,57(11):6 799-6 807.
ZHANG J X,TANG W S,XU Y. A new three-dimensional chaotic system[J]. Acta physica sinica,2008,57(11):6 799-6?807.(in Chinese)
[13] 唐亮瑞,李静,樊冰. 一个新四维自治超混沌系统及其电路实现[J]. 物理学报,2009,58(3):1 446-1 455.
TANG L R,LI J,FAN B. A new four-dimensional hyperchaotic system and its circuit simulation[J]. Acta physica sinica,2009,58(3):1 446-1 455.
[14] 周小勇. 一种具有恒Lyapunov指数谱的混沌系统及其电路仿真[J]. 物理学报,2011,60(10):54-65.
ZHOU X Y. A chaotic system with invariable Lyapunov exponent and its circuit simulation[J]. Acta physica sinica,2011,60(10):54-65.(in Chinese)
[15] 罗明伟,罗小华,李华青. 一类四维多翼混沌系统及其电路实现[J]. 物理学报,2013,62(2):153-158.
LUO M W,LUO X H,LI HUA Q. A family of four-dimensional multi-wing chaotic system and its circuit implementation[J]. Acta physica sinica,2013,62(2):153-158.(in Chinese)
[16] 邵书义,闵富红,吴薛红,等.基于现场可编程逻辑门阵列的新型混沌系统实现[J]. 物理学报,2014,63(6):73-81.
SHAO S Y,MIN FH,WU X H,et al. Implementation of a new chaotic system based on field programmable gate array[J]. Acta physica sinica,2014,63(6):73-81.(in Chinese)
[17] 李雄杰,周东华. 一种基于强跟踪滤波的混沌保密通信方法[J]. 物理学报,2015,64(14):140 501.
LI X J,ZHOU D H. A method of chaotic secure communication based on strong tracking filter[J]. Acta physica sinica,2015,64(14):140 501.(in Chinese)
[18] 闵富红,马美玲,翟炜,等. 基于继电特性函数的互联电力系统混沌控制[J]. 物理学报,2014,63(5):70-77.MIN F H,MA M L,ZHAI W,et al. Chaotic control of the interconnected power system based on the relay characteristic function[J]. Acta physica sinica,2014,63(5):70-77.(in Chinese)
[19] 吴忠强,杨阳,徐纯华. 混沌状态下永磁同步发电机的故障诊断——LMI法研究[J]. 物理学报,2013,62(15):82-88.
WU Z Q,YANG Y,XU C H. Fault diagnosis for permanent magnet synchronous generator under chaos conditions:LMI approach[J]. Acta physica sinica,2013,62(15):82-88.(in Chinese)

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Last Update: 2016-03-20