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提出了一种利用同相电流传输器(CCII+)实现网格多涡卷混沌吸引子的方法. 首先, 构建一个三维网格多涡卷混沌系统, 并对该系统进行基本动力学特性分析. 其次, 在考虑电流传输器端口寄生参数的情况下, 构建了电流输出的饱和函数电路并设计一个具有串联结构的网格多涡卷混沌电路, 使得该电路的工作频率得到提高. 最后, 通过硬件电路实验验证了该方法的可行性.
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关键词:
- 网格多涡卷混沌吸引子 /
- 电流传输器 /
- 电路实现
In this paper, we propose method of generating grid multi-scroll chaotic attractors with the positive-type second generation current conveyors (CCII+). Firstly, a three-dimensional grid multi-scroll chaotic system is presented. Some basic dynamical properties are studied. Furthermore, we construct the saturation functions with current output and design the chaotic system with series structure by using current conveyers. In the whole design the port parasitic parameters of current conveyers are taken into considerations. By analyzing we could learn that the circuit can work in a higher frequency range. Finally, the effectiveness of this method is verified by circuit implementation.[1] Yalcin M, Suykens J, Vandewalle J, Ozoguz S 2002 Int. J. Bifurc. Chaos 12 23
[2] Yu S M, Lü J H, Chen G R 2007 IEEE Trans. Circuits. Syst. I 54 2087
[3] Yu S M 2005 Acta Phys. Sin. 54 1500 (in Chinese) [禹思敏 2005 物理学报 54 1500]
[4] 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]
[5] Xie K, Lei M, Feng Z J 2005 Acta Phys. Sin. 54 1267 (in Chinese) [谢鲲, 雷敏, 冯正进 2005 物理学报 54 1267]
[6] Suyken J, Vandewalle J 1993 IEEE Trans. Circuits. Syst. 40 861
[7] Yu S M, Tang W K S, Chen G R 2007 IEEE International Symposium on Circuits and Systems New Orleans, LA, May 27-30, 2007 p768
[8] Yalcin M E 2007 Chaos, Solitons and Fractals 34 1965
[9] Muñoz J, Tlelo E 2009 J. Appl. Res. Technol. 7 5
[10] Li Y, Yang B J, Lin H B, Liu X H 2005 Acta Phys. Sin. 54 1994 (in Chinese) [李月, 杨宝俊, 林红波, 刘晓华 2005 物理学报 54 1994]
[11] Wang F G, Liu C X, Lu J J 2006 Acta Phys. Sin. 55 3289 (in Chinese) [王发强, 刘崇新, 逯俊杰 2006 物理学报 55 3289]
[12] Liu M H, Yu S M 2006 Acta Phys. Sin. 55 5707 (in Chinese) [刘明华, 禹思敏 2006 物理学报 55 5707]
[13] 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]
[14] Zhang C X, Yu S M 2009 Chin. Phys. B 18 119
[15] Yalcin M E, Suykens J, Vandewall J 2002 Int. J. Bifurc. Chaos 12 23
[16] Luo X H, Tu Z W, Liu X R, Cai C 2010 Chin. Phys. B 19 510
[17] Lü J H, Chen G R, Yu X H, Leung H 2004 IEEE Trans. Circuits Syst. 51 2476
[18] Zhang Z 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]
[19] Bao B C, Liu Z, Xu J P, Zhu L 2010 Acta Phys. Sin. 59 1540 (in Chinese) [包伯成, 刘中, 许建平, 朱雷 2010 物理学报 59 1540]
[20] Chen S B, Zeng Y C, Xu M L, Chen J S 2011 Acta Phys. Sin. 60 507 (in Chinese) [陈仕必, 曾以成, 徐茂林, 陈家胜 2011 物理学报 60 507]
[21] Lü J H, Yu S M, Leung H, Chen G R 2006 IEEE Trans. Circuits Syst. 53 149
[22] Wu H G, Bao B C, Liu Z 2011 Acta Phys. Sin 60 090502 (in Chinese) [武花干, 包伯成, 刘中 2011 物理学报 60 090502]
[23] Hasan S, Iqbal A 2009 IEEE Multimedia, Signal Processing and Communication Technologies Aligarh, March 14-16 2009 p229
[24] Sánchez C, Trejo R, Muñoz J, Tlelo E 2010 Nonlinear Dyn. 61 331
[25] Trejo R, Tlelo E, Jimenez J, Sánchez C 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 1056
[26] Toumazou C, Lidgey F J, Haigh D Q 1990 Analog IC Design: The Current Mode Approach (London: Peter Peregrinus) p93
[27] Sánchez C, Tlelo E, Carrasco M A, Morales F E, Cante F 2009 IEEE International Conference on Electrical, Communications, and Computers Cholula, Puebla, Feb. 26-28, 2009 p189
[28] Yang Z K, Zhang J, Ma Y J, Bai Y L, Ma S Q 2010 Acta Phys. Sin. 59 3007 (in Chinese) [杨志昆, 张洁, 马永杰, 摆玉龙, 马胜前 2010 物理学报 59 3007]
[29] Liu S, Wu D, Tsao H, Wu J, Tsay J 1993 IEEE Proc. G 140 1
[30] Smith K C, Sedra A K 1968 IEEE Proc. 56 2
[31] Smith K C, Sedra A K 1970 IEEE Trans. Circuit Theory 17 3
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[1] Yalcin M, Suykens J, Vandewalle J, Ozoguz S 2002 Int. J. Bifurc. Chaos 12 23
[2] Yu S M, Lü J H, Chen G R 2007 IEEE Trans. Circuits. Syst. I 54 2087
[3] Yu S M 2005 Acta Phys. Sin. 54 1500 (in Chinese) [禹思敏 2005 物理学报 54 1500]
[4] 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]
[5] Xie K, Lei M, Feng Z J 2005 Acta Phys. Sin. 54 1267 (in Chinese) [谢鲲, 雷敏, 冯正进 2005 物理学报 54 1267]
[6] Suyken J, Vandewalle J 1993 IEEE Trans. Circuits. Syst. 40 861
[7] Yu S M, Tang W K S, Chen G R 2007 IEEE International Symposium on Circuits and Systems New Orleans, LA, May 27-30, 2007 p768
[8] Yalcin M E 2007 Chaos, Solitons and Fractals 34 1965
[9] Muñoz J, Tlelo E 2009 J. Appl. Res. Technol. 7 5
[10] Li Y, Yang B J, Lin H B, Liu X H 2005 Acta Phys. Sin. 54 1994 (in Chinese) [李月, 杨宝俊, 林红波, 刘晓华 2005 物理学报 54 1994]
[11] Wang F G, Liu C X, Lu J J 2006 Acta Phys. Sin. 55 3289 (in Chinese) [王发强, 刘崇新, 逯俊杰 2006 物理学报 55 3289]
[12] Liu M H, Yu S M 2006 Acta Phys. Sin. 55 5707 (in Chinese) [刘明华, 禹思敏 2006 物理学报 55 5707]
[13] 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]
[14] Zhang C X, Yu S M 2009 Chin. Phys. B 18 119
[15] Yalcin M E, Suykens J, Vandewall J 2002 Int. J. Bifurc. Chaos 12 23
[16] Luo X H, Tu Z W, Liu X R, Cai C 2010 Chin. Phys. B 19 510
[17] Lü J H, Chen G R, Yu X H, Leung H 2004 IEEE Trans. Circuits Syst. 51 2476
[18] Zhang Z 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]
[19] Bao B C, Liu Z, Xu J P, Zhu L 2010 Acta Phys. Sin. 59 1540 (in Chinese) [包伯成, 刘中, 许建平, 朱雷 2010 物理学报 59 1540]
[20] Chen S B, Zeng Y C, Xu M L, Chen J S 2011 Acta Phys. Sin. 60 507 (in Chinese) [陈仕必, 曾以成, 徐茂林, 陈家胜 2011 物理学报 60 507]
[21] Lü J H, Yu S M, Leung H, Chen G R 2006 IEEE Trans. Circuits Syst. 53 149
[22] Wu H G, Bao B C, Liu Z 2011 Acta Phys. Sin 60 090502 (in Chinese) [武花干, 包伯成, 刘中 2011 物理学报 60 090502]
[23] Hasan S, Iqbal A 2009 IEEE Multimedia, Signal Processing and Communication Technologies Aligarh, March 14-16 2009 p229
[24] Sánchez C, Trejo R, Muñoz J, Tlelo E 2010 Nonlinear Dyn. 61 331
[25] Trejo R, Tlelo E, Jimenez J, Sánchez C 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 1056
[26] Toumazou C, Lidgey F J, Haigh D Q 1990 Analog IC Design: The Current Mode Approach (London: Peter Peregrinus) p93
[27] Sánchez C, Tlelo E, Carrasco M A, Morales F E, Cante F 2009 IEEE International Conference on Electrical, Communications, and Computers Cholula, Puebla, Feb. 26-28, 2009 p189
[28] Yang Z K, Zhang J, Ma Y J, Bai Y L, Ma S Q 2010 Acta Phys. Sin. 59 3007 (in Chinese) [杨志昆, 张洁, 马永杰, 摆玉龙, 马胜前 2010 物理学报 59 3007]
[29] Liu S, Wu D, Tsao H, Wu J, Tsay J 1993 IEEE Proc. G 140 1
[30] Smith K C, Sedra A K 1968 IEEE Proc. 56 2
[31] Smith K C, Sedra A K 1970 IEEE Trans. Circuit Theory 17 3
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