切换统一混沌系统族

刘扬正; 林长圣; 李心朝

doi:10.7498/aps.60.040505

摘要

拓展统一混沌系统的非线性函数,构建包含6类子系统的切换统一混沌系统族,不仅每个子类系统在参量空间随系统参数的变化实现切换,而且6类子系统在状态空间随系统非线性函数的变化实现连续切换.利用Lyapunov指数谱和分岔图对6类子系统随系统参数变化的整体情况进行分析,用数字信号处理(DSP)芯片对典型混沌系统的分时切换进行硬件实现.

关键词:

A nonlinear function of unified chaotic system, the family of switched unified chaotic system is generated which contains six kinds of subsystems. Each subsystem can be switched by changing systematic parameter values in parameter space, and these subsystems can be switched continuously from one to another via changing nonlinear function in state space. The features of these subsystems are analyzed in detail using Lyapunov exponent and bifurcation diagram. The division-time switching of unified chaotic system is realized based on digital signal processing (DSP).

Keywords:

作者及机构信息

1.
南京工程学院非线性物理研究所,南京 211167

基金项目: 国家自然科学基金(批准号:90405011),江苏省高校自然科学基金(批准号:07KJD120081),南京工程学院自然科学基金(批准号:KXJ07068)资助的课题.

Authors and contacts

1.
Institute of Nonlinear Physics, Nanjing Institute of Technology,Nanjing 211167,China

参考文献

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[9]	Yu S M 2005 Acta Phys. Sin. 54 1500 (in Chinese) [禹思敏 2005 54 1500]
[10]	Zhang C X, Yu S M 2009 Acta Phys. Sin. 58 120 (in Chinese) [张朝霞、禹思敏 2009 58 120]
[11]	Wang F Q, Liu C X 2007 Acta Phys. Sin. 56 1983 (in Chinese) [王发强、刘崇新 2007 56 1983]
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[25]	Zhang Y J, Wang C P, Wang G Y, Xu N, Wang Z L 2009 J. China Unier. Posts Telecom. 16 122
[26]	Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Commun Nonlinear Sci. Numer Simulat 14 2239
[27]	Grzybowsk J M V, Rafikov M, Balthazar J M 2009 Commun Nonlinear Sci. Numer Simulat 14 2793
[28]	Danca M F, Wallace K S T, Chen G R 2008 Applied Mathematics and Computation 201 650
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[30]	Yu W W, Cao J D, Yuan K 2008 Phys. Lett. A 372 4438
[31]	Qi G Y, Chen G R,Du S Z, Chen Z Q, Yuan Z Z 2005 Physica A 352 295
[32]	Liu C X,Liu T, Liu L, Liu K 2004 Chaos Soliton. Fract. 22 1031
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[35]	Wang F Z, Chen Z Q, Wu W J,Yuan Z Z 2007 Chin. Phys. 16 3238
[36]	Cai G L,Tan Z H, Zhou W H, Tu W T 2007 Acta Phys. Sin. 56 6230 (in Chinese) [蔡国梁、谭振海、周维怀、涂文桃 2007 56 6230]
[37]	Liu Y Z, Lin C S, Wang Z L 2010 Acta Phys. Sin. 59 8407 (in Chinese) [刘扬正、林长圣、王忠林 2010 59 8407]

施引文献

[1]	Li Y X, Chen G R, Wallace K S T 2005 IEEE Trans. Circuits Syst. Ⅱ 52 204
[2]	Wu X Q, Wang J J, Lu J A, Herbert H C I 2007 Chaos Soliton. Fract. 32 1485
[3]	Ge Z M,Yang K W 2007 Chaos Soliton. Fract. 33 246
[4]	Liu Y Z, Lin C S,Li X C,Liu H P,Wang Z L 2011 Acta Phys. Sin.60 030502 (in Chinese) [刘扬正、林长圣、李心朝、刘海鹏、王忠林 2011 60 030502]
[5]	mer Morgül 2000 IEEE Trans. Circuits Syst. Ⅰ 47 1424
[6]	Lü J H, Chen G 2006 Int. J. Bifur. Chaos 16 775
[7]	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 57 7511]
[8]	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 57 3337]
[9]	Yu S M 2005 Acta Phys. Sin. 54 1500 (in Chinese) [禹思敏 2005 54 1500]
[10]	Zhang C X, Yu S M 2009 Acta Phys. Sin. 58 120 (in Chinese) [张朝霞、禹思敏 2009 58 120]
[11]	Wang F Q, Liu C X 2007 Acta Phys. Sin. 56 1983 (in Chinese) [王发强、刘崇新 2007 56 1983]
[12]	Zhang C X, Yu S M 2009 Chin. Phys. B 18 119
[13]	Elwakil A S, zguz S, Kennedy M P 2002 IEEE Trans. Circuits Syst. Ⅰ 49 527
[14]	Sprott J C 2000 Phys. Lett. A 266 19
[15]	Liu M H, Yu S M 2006 Acta Phys. Sin. 55 5707 (in Chinese) [刘明华、禹思敏 2006 55 5707]
[16]	Lü J H, Yu X H, Chen G R 2003 IEEE Trans. Circuits Syst. Ⅰ 50 198
[17]	Chen Q F, Hong Y G, Chen G R, Zhong Q H, David J H 2006 IEEE Trans. Circuits Syst. Ⅰ 53 2692
[18]	Liu X Z, Teo K L, Zhang H T, Chen G R 2006 Chaos Soliton. Fract. 30 725
[19]	Guo J J, Xie G M, Wang L 2009 Chaos Soliton. Fract. 40 2160
[20]	Suzuki Takashi, Saito Toshimichi 1994 IEEE Trans. Circuits Syst. Ⅰ 41 876
[21]	Hu G S 2009 Acta Phys. Sin. 58 8139 (in Chinese) [胡国四 2009 58 8139]
[22]	Liu Y Z, Jiang C S 2009 Acta Phys. Sin. 58 771 (in Chinese) [刘扬正、姜长生 2009 58 771]
[23]	Wang G Y, He H L 2008 Chin. Phys. B 17 4014
[24]	Liu Y Z, Jiang C S, Lin C S, Sun H 2007 Acta Phys. Sin. 56 5131 (in Chinese) [刘扬正、姜长生、林长圣、孙晗 2007 56 5131]
[25]	Zhang Y J, Wang C P, Wang G Y, Xu N, Wang Z L 2009 J. China Unier. Posts Telecom. 16 122
[26]	Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Commun Nonlinear Sci. Numer Simulat 14 2239
[27]	Grzybowsk J M V, Rafikov M, Balthazar J M 2009 Commun Nonlinear Sci. Numer Simulat 14 2793
[28]	Danca M F, Wallace K S T, Chen G R 2008 Applied Mathematics and Computation 201 650
[29]	Lin C X, Hao J H 2008 J. Dyn. Contr. 6 254 (in Chinese) [林彩霞、郝建红 2008 动力学与控制学报 6 254]
[30]	Yu W W, Cao J D, Yuan K 2008 Phys. Lett. A 372 4438
[31]	Qi G Y, Chen G R,Du S Z, Chen Z Q, Yuan Z Z 2005 Physica A 352 295
[32]	Liu C X,Liu T, Liu L, Liu K 2004 Chaos Soliton. Fract. 22 1031
[33]	Wang G Y, Qiu S S, Xu Z Y 2006 Acta Phys. Sin. 55 3295 (in Chinese) [王光义、丘水生、许志益 2006 55 3295]
[34]	Wang G Y, Qiu S S, Li H W, Li C F, Zheng Y 2006 Chin. Phys. 15 2872
[35]	Wang F Z, Chen Z Q, Wu W J,Yuan Z Z 2007 Chin. Phys. 16 3238
[36]	Cai G L,Tan Z H, Zhou W H, Tu W T 2007 Acta Phys. Sin. 56 6230 (in Chinese) [蔡国梁、谭振海、周维怀、涂文桃 2007 56 6230]
[37]	Liu Y Z, Lin C S, Wang Z L 2010 Acta Phys. Sin. 59 8407 (in Chinese) [刘扬正、林长圣、王忠林 2010 59 8407]

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