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基于Colpitts振荡器模型生成的多涡卷超混沌吸引子

包伯成 刘中 许建平 朱雷

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基于Colpitts振荡器模型生成的多涡卷超混沌吸引子

包伯成, 刘中, 许建平, 朱雷

Generation of multi-scroll hyperchaotic attractor based on Colpitts oscillator model

Bao Bo-Cheng, Liu Zhong, Xu Jian-Ping, Zhu Lei
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  • 基于三阶单涡卷混沌Colpitts振荡器模型,通过引入两个分段线性三角波函数,构造了一个新型四维多涡卷超混沌系统,生成了(2M+1)×(2N+1),(2M+1)和(2N+1)涡卷混沌和超混沌吸引子.利用相轨图、Poincaré映射、Lyapunov指数谱和分岔图等方法,对新提出的四维多涡卷超混沌系统进行了动力学分析,结果表明,多涡卷超混沌系统的Hopf分岔点仅与控制参数有关,而涡卷数量和控制参数的混沌和超混沌范围随着转折点数量的增加而增加.此外,设计
    Based on third-order spiral chaotic Colpitts oscillator model, by introducing two piecewise-linear triangular function, a novel four-dimensional multi-scroll hyperchaotic system is constructed, which can generate (2M+1)×(2N+1), (2M+1) and (2N+1)-scroll chaotic and hyperchaotic attractors. By using phase portrait, Poincaré mapping, Lyapunov exponent spectrum and bifurcation diagram, the dynamical behaviors of the proposed multi-scroll hyperchaotic system are analyzed. These results indicate that Hopf bifurcation point of multi-scroll hyperchaotic system is only related with the control parameter, but its scroll number and ranges of the control parameter for chaotic and hyperchaotic states increase along with the number of turning points. Furthermore, an analog circuit was designed to realize the four-dimensional multi-scroll hyperchaotic system. The results of experimental output and numerical simulation are basically the same.
    • 基金项目: 国家自然科学基金(批准号:50677056,60971090)和江苏省自然科学基金(批准号:BK2009105)资助的课题.
    [1]

    [1]Suykens J A K, Vandewalle J 1993 IEEE Trans. Circuits Syst. I 40 861

    [2]

    [2]Yalcin M 2007 Int. J. Bifur. Chaos 17 4471

    [3]

    [3]Yalcin M, Suykens J, Vandewalle J, Mzoguz S 2002 Int. J. Bifur. Chaos 12 23

    [4]

    [4]Yalcin M, Mzoguz S 2007 Chaos 17 033112

    [5]

    [5]Lü J H, Yu X H, Chen G R 2003 IEEE Trans. Circuits Syst. I 50 198

    [6]

    [6]Lü J H, Chen G R, Yu X H, Leung H 2004 IEEE Trans. Circuits Syst. I 51 2476

    [7]

    [7]Lü J H, Han F L, Yu X H, Chen G R 2004 Automatica 40 1677

    [8]

    [8]Lü J H, Murali K, Sinha S, Leung H, Aziz-Alaoui MA 2008 Physics Letters A 372 3234

    [9]

    [9]Lü J H, Yu S M, Leung H, Chen G R l 2006 IEEE Trans. Circuits Syst. I 53 149

    [10]

    [10]Lü J H, Chen G R 2006 Int. J. Bifur. Chaos 16 775

    [11]

    [11]Deng W H, Lü J H 2006 Chaos 16 043120

    [12]

    [12]Yu S M, Lin Q H, Qiu S S 2003 Acta Phys. Sin. 52 25 (in Chinese)[禹思敏、 林清华、 丘水生 2003 物理学报 52 25]

    [13]

    [13]Yu S M, Lin Q H, Qiu S S 2004 Acta Phys. Sin. 53 2084 (in Chinese)[禹思敏、 林清华、 丘水生 2004 物理学报 53 2084]

    [14]

    [14]Yu S M 2005 Acta Phys. Sin. 54 1500 (in Chinese)[禹思敏 2005 物理学报 54 1500]

    [15]

    [15]Yu S M, Lü J H, Tang W K S, Chen G R 2006 Chaos 16 033126

    [16]

    [16]Yu S M, Lü J H, Leung H, Chen G R 2005 IEEE Trans. Circuits Syst. I 52 1459

    [17]

    [17]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]

    [18]

    [18]Yu S, Tang W K S, Lü J H, Chen G R 2008 IEEE Trans. Circuits Syst. II 55 1168

    [19]

    [19]Yu S M, Tang W K S, Lü J H, Chen G R 2008 Int. J. Circuit Theory and Appli. DOI: 101002/cta 558

    [20]

    [20]Radwan A, Soliman A, Elwakil A 2007 Int. J. Bifur. Chaos 17 227

    [21]

    [21]Gandhi G, Roska T 2008 Int. J. Circuit Theory and Appli. DOI: 101002/cta 487

    [22]

    [22]Wang F Q, Liu C X 2007 Chin. Phys. 16 942

    [23]

    [23]Wang F Q, Liu C X 2006 Chin. Phys. 15 2878

    [24]

    [24]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]

    [25]

    [25]Wang F Q, 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]

    [26]

    [26]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]

    [27]

    [27]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]

    [28]

    [28]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]

    [29]

    [29]Maggio G M, Feo O D, Kennedy M P 1999 IEEE Trans. Circuits Syst. I 46 1118

  • [1]

    [1]Suykens J A K, Vandewalle J 1993 IEEE Trans. Circuits Syst. I 40 861

    [2]

    [2]Yalcin M 2007 Int. J. Bifur. Chaos 17 4471

    [3]

    [3]Yalcin M, Suykens J, Vandewalle J, Mzoguz S 2002 Int. J. Bifur. Chaos 12 23

    [4]

    [4]Yalcin M, Mzoguz S 2007 Chaos 17 033112

    [5]

    [5]Lü J H, Yu X H, Chen G R 2003 IEEE Trans. Circuits Syst. I 50 198

    [6]

    [6]Lü J H, Chen G R, Yu X H, Leung H 2004 IEEE Trans. Circuits Syst. I 51 2476

    [7]

    [7]Lü J H, Han F L, Yu X H, Chen G R 2004 Automatica 40 1677

    [8]

    [8]Lü J H, Murali K, Sinha S, Leung H, Aziz-Alaoui MA 2008 Physics Letters A 372 3234

    [9]

    [9]Lü J H, Yu S M, Leung H, Chen G R l 2006 IEEE Trans. Circuits Syst. I 53 149

    [10]

    [10]Lü J H, Chen G R 2006 Int. J. Bifur. Chaos 16 775

    [11]

    [11]Deng W H, Lü J H 2006 Chaos 16 043120

    [12]

    [12]Yu S M, Lin Q H, Qiu S S 2003 Acta Phys. Sin. 52 25 (in Chinese)[禹思敏、 林清华、 丘水生 2003 物理学报 52 25]

    [13]

    [13]Yu S M, Lin Q H, Qiu S S 2004 Acta Phys. Sin. 53 2084 (in Chinese)[禹思敏、 林清华、 丘水生 2004 物理学报 53 2084]

    [14]

    [14]Yu S M 2005 Acta Phys. Sin. 54 1500 (in Chinese)[禹思敏 2005 物理学报 54 1500]

    [15]

    [15]Yu S M, Lü J H, Tang W K S, Chen G R 2006 Chaos 16 033126

    [16]

    [16]Yu S M, Lü J H, Leung H, Chen G R 2005 IEEE Trans. Circuits Syst. I 52 1459

    [17]

    [17]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]

    [18]

    [18]Yu S, Tang W K S, Lü J H, Chen G R 2008 IEEE Trans. Circuits Syst. II 55 1168

    [19]

    [19]Yu S M, Tang W K S, Lü J H, Chen G R 2008 Int. J. Circuit Theory and Appli. DOI: 101002/cta 558

    [20]

    [20]Radwan A, Soliman A, Elwakil A 2007 Int. J. Bifur. Chaos 17 227

    [21]

    [21]Gandhi G, Roska T 2008 Int. J. Circuit Theory and Appli. DOI: 101002/cta 487

    [22]

    [22]Wang F Q, Liu C X 2007 Chin. Phys. 16 942

    [23]

    [23]Wang F Q, Liu C X 2006 Chin. Phys. 15 2878

    [24]

    [24]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]

    [25]

    [25]Wang F Q, 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]

    [26]

    [26]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]

    [27]

    [27]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]

    [28]

    [28]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]

    [29]

    [29]Maggio G M, Feo O D, Kennedy M P 1999 IEEE Trans. Circuits Syst. I 46 1118

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  • 文章访问数:  8144
  • PDF下载量:  1337
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-06-19
  • 修回日期:  2009-07-12
  • 刊出日期:  2010-03-15

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