基于同相第二代电流传输器的网格多涡卷混沌电路研究

左婷; 孙克辉; 艾星星; 王会海

doi:10.7498/aps.63.080501

摘要

通过简化广义Jerk系统，构建了一个三维网格多涡卷混沌系统，利用同相第二代电流传输器（CCII+）设计并实现了该系统的模拟电路. 将该电路与传统运放实现的混沌电路进行了对比，发现基于CCII+ 的混沌电路能在更高频段产生网格多涡卷吸引子，且电路结构更简单，使用器件更少. 最后，通过示波器观测到了网格多涡卷混沌吸引子，验证了混沌电路的物理可实现性，电路实验结果与数值仿真结果一致.

关键词:

A three-dimensional grid multi-scroll chaotic system is presented by simplifying a generalized Jerk system. The analog circuit system is designed and realized by using positive-type second generation current conveyers. Compared with the chaotic circuit realized by traditional op amp, the chaotic circuit based on current conveyers can generate grid multi-scroll attractors at high frequency, and also has the advantages of simple circuit structure, and few components. Finally, the grid multi-scroll chaotic attractor are observed through using an oscilloscope, and the physical realizability of chaotic circuit is verified by circuit experiment. The results of circuit experiments and numerical simulations are accordant.

Keywords:

作者及机构信息

1.
中南大学物理与电子学院, 长沙 410083;

2.
新疆大学物理科学与技术学院, 乌鲁木齐 830046

基金项目: 国家自然科学基金（批准号：61161006，61073187）资助的课题.

Authors and contacts

1.
School of Physics and Electronics, Central South University, Changsha 410083, China;

2.
School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61161006, 61073187).

参考文献

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[3]	Zhang C X, Yu S M 2009 Chin. Phys. B 18 119
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[8]	Dadras S, Momeni H R 2010 Chin. Phys. B 19 060506
[9]	Liu H, Yu H J, Xiang W 2012 Acta Phys. Sin. 61 180503 (in Chinese) [刘恒, 余海军, 向伟 2012 物理学报 61 180503]
[10]	Zhu L, Liu Z, Bao B C, Xu J P 2010 Acta Phys. Sin. 59 1540 (in Chinese) [朱雷, 刘中, 包伯成, 许建平 2010 物理学报 59 1540]
[11]	Xu F, Yu P 2010 J. Math. Anal. Appl. 362 252
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[13]	Chen S B, Zeng Y C, Xu M L, Chen J S 2011 Acta Phys. Sin. 60 020507 (in Chinese) [陈仕必, 曾以成, 徐茂林, 陈家胜 2011 物理学报 60 020507]
[14]	Luo X H, Tu Z W, Liu X R, Cai C, Liang Y L, Gong P 2010 Chin. Phys. B 19 070510
[15]	Zhang C X, Yu S M 2010 Phys. Lett. A 374 3029
[16]	Sánchez-López C 2011 Appl. Math. Comput. 217 4350
[17]	Elwakil A S, Soliman A M 1999 IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 46 393
[18]	Yang Z M, Zhang J, Ma Y J, Bai Y L, Ma S Q 2010 Acta Phys. Sin. 59 3007 (in Chinese) [杨志民, 张洁, 马永杰, 摆玉龙, 马胜前 2010 物理学报 59 3007]
[19]	Sánchez-López C, Trejo-Guerra R, Muñoz-Pacheco J M, Tlelo-Cuautle E 2010 Nonlinear Dyn. 61 331
[20]	Wang C H, Yin J W, Lin Y 2012 Acta Phys. Sin. 61 210507 (in Chinese) [王春华, 尹晋文, 林愿 2012 物理学报 61 210507]
[21]	Lin Y, Wang C H, Xu H 2012 Acta Phys. Sin. 61 240503 (in Chinese) [林愿, 王春华, 徐浩 2012 物理学报 61 240503]

施引文献

[1]	Deng W H, L J H 2007 Phys. Lett. A 369 438
[2]	L J H, Murali K, Sinha S, Leung H, Aziz-Alaoui M A 2008 Phys. Lett. A 372 3234
[3]	Zhang C X, Yu S M 2009 Chin. Phys. B 18 119
[4]	Trejo-Guerra R, Tlelo-Cuautle E, Jiménez-Fuentes J M, Sánchez-López C, Muñoz-Pacheco J M, Espinosa-Flores-Verdad G, Rocha-Pérez J M 2012 Commun. Nonlinear Sci. Numer. Simul. 17 4328
[5]	Luo X H, Li H Q, Dai X G 2008 Acta Phys. Sin. 57 7511 (in Chinese) [罗小华, 李华青, 代祥光 2008 物理学报 57 7511]
[6]	Wang F Q, Liu C X 2007 Acta Phys. Sin. 56 1983 (in Chinese) [王发强, 刘崇新 2007 物理学报 56 1983]
[7]	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]
[8]	Dadras S, Momeni H R 2010 Chin. Phys. B 19 060506
[9]	Liu H, Yu H J, Xiang W 2012 Acta Phys. Sin. 61 180503 (in Chinese) [刘恒, 余海军, 向伟 2012 物理学报 61 180503]
[10]	Zhu L, Liu Z, Bao B C, Xu J P 2010 Acta Phys. Sin. 59 1540 (in Chinese) [朱雷, 刘中, 包伯成, 许建平 2010 物理学报 59 1540]
[11]	Xu F, Yu P 2010 J. Math. Anal. Appl. 362 252
[12]	Zhang C X, Yu S M 2009 Acta Phys. Sin. 58 120 (in Chinese) [张朝霞, 禹思敏 2009 物理学报 58 120]
[13]	Chen S B, Zeng Y C, Xu M L, Chen J S 2011 Acta Phys. Sin. 60 020507 (in Chinese) [陈仕必, 曾以成, 徐茂林, 陈家胜 2011 物理学报 60 020507]
[14]	Luo X H, Tu Z W, Liu X R, Cai C, Liang Y L, Gong P 2010 Chin. Phys. B 19 070510
[15]	Zhang C X, Yu S M 2010 Phys. Lett. A 374 3029
[16]	Sánchez-López C 2011 Appl. Math. Comput. 217 4350
[17]	Elwakil A S, Soliman A M 1999 IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 46 393
[18]	Yang Z M, Zhang J, Ma Y J, Bai Y L, Ma S Q 2010 Acta Phys. Sin. 59 3007 (in Chinese) [杨志民, 张洁, 马永杰, 摆玉龙, 马胜前 2010 物理学报 59 3007]
[19]	Sánchez-López C, Trejo-Guerra R, Muñoz-Pacheco J M, Tlelo-Cuautle E 2010 Nonlinear Dyn. 61 331
[20]	Wang C H, Yin J W, Lin Y 2012 Acta Phys. Sin. 61 210507 (in Chinese) [王春华, 尹晋文, 林愿 2012 物理学报 61 210507]
[21]	Lin Y, Wang C H, Xu H 2012 Acta Phys. Sin. 61 240503 (in Chinese) [林愿, 王春华, 徐浩 2012 物理学报 61 240503]

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