Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Analysis and synchronization of a novel chaotic system based on Chen's system

Zhang Guo-Shan Niu Hong

Analysis and synchronization of a novel chaotic system based on Chen's system

Zhang Guo-Shan, Niu Hong
PDF
Get Citation
  • In this paper, a new three-dimensional autonomous chaotic system is constructed by adding a product term with variable coefficient to the first equation of Chen's system. The new system with different groups of coefficients can be chaotic or not by adjusting the variable coefficient, that is, by adjusting the variable coefficient, chaos occurs in new system when Chen's system is not chaotic, or chaos is suppressed in new system even if Chen's system is chaotic. The characteristics of the new chaotic system are analyzed in detail and the synchronization of new system is considered. Moreover, the simulation results are also presented.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61074088).
    [1]

    Liu B Z, Peng J H 2007 Nonlinear Dynamics (Beijing: Higher Education Press) pp120--131 (in Chinese) [刘秉正, 彭建华 2007 非线性动力学 (北京: 高等教育出版社) 第120---131页]

    [2]
    [3]

    Chen G R, L J H 2003 Dynamic Analysis, Control and Synchronization of Lorenz System Families (Beijing: Science Press) pp9--130 (in Chinese) [陈关荣, 吕金虎 2003 Lorenz系统族的动力学分析、 控制与同步 (北京: 科学出版社) 第9---130页]

    [4]
    [5]

    Chen G R, Ueta T 1999 Int. J. Bifur. Chaos 9 1465

    [6]

    L J H, Chen G R 2002 Int. J. Bifur. Chaos 12 659

    [7]
    [8]

    L J H, Chen G R, Cheng D Z, Celikovsky S 2002 Int. J. Bifur. Chaos 12 2917

    [9]
    [10]
    [11]

    Qi G Y, Chen G R, Du S Z, Chen Z Q, Yuan Z Z 2005 Physica A 352 295

    [12]
    [13]

    Wang F Z, Qi G Y, Chen Z Q, Zhang Y H, Yuan Z Z 2006 Acta Phys. Sin. 55 4005 (in Chinese) [王繁珍, 齐国元, 陈增强, 张宇辉, 袁著祉 2006 物理学报 55 4005]

    [14]
    [15]

    Liu C X, Liu T, Liu L, Liu K 2004 Chaos Soliton. Fract. 22 1031

    [16]

    Tomasz K (translated by Shi Y) 2008 Chaos for Engineers: Theory, Application, and Control (2nd Ed.) ( Beijing: National Defense Industry Press) p62 (in Chinese) [卡毕坦尼亚克著 (施引译) 2008 面向工程的混沌学-----理论、 应用及控制(第2版) (北京: 国防工业出版社) 第62页]

    [17]
    [18]
    [19]

    Zhong G Q, Tang W K S 2002 Int. J. Bifur. Chaos 12 1423

    [20]

    Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821

    [21]
  • [1]

    Liu B Z, Peng J H 2007 Nonlinear Dynamics (Beijing: Higher Education Press) pp120--131 (in Chinese) [刘秉正, 彭建华 2007 非线性动力学 (北京: 高等教育出版社) 第120---131页]

    [2]
    [3]

    Chen G R, L J H 2003 Dynamic Analysis, Control and Synchronization of Lorenz System Families (Beijing: Science Press) pp9--130 (in Chinese) [陈关荣, 吕金虎 2003 Lorenz系统族的动力学分析、 控制与同步 (北京: 科学出版社) 第9---130页]

    [4]
    [5]

    Chen G R, Ueta T 1999 Int. J. Bifur. Chaos 9 1465

    [6]

    L J H, Chen G R 2002 Int. J. Bifur. Chaos 12 659

    [7]
    [8]

    L J H, Chen G R, Cheng D Z, Celikovsky S 2002 Int. J. Bifur. Chaos 12 2917

    [9]
    [10]
    [11]

    Qi G Y, Chen G R, Du S Z, Chen Z Q, Yuan Z Z 2005 Physica A 352 295

    [12]
    [13]

    Wang F Z, Qi G Y, Chen Z Q, Zhang Y H, Yuan Z Z 2006 Acta Phys. Sin. 55 4005 (in Chinese) [王繁珍, 齐国元, 陈增强, 张宇辉, 袁著祉 2006 物理学报 55 4005]

    [14]
    [15]

    Liu C X, Liu T, Liu L, Liu K 2004 Chaos Soliton. Fract. 22 1031

    [16]

    Tomasz K (translated by Shi Y) 2008 Chaos for Engineers: Theory, Application, and Control (2nd Ed.) ( Beijing: National Defense Industry Press) p62 (in Chinese) [卡毕坦尼亚克著 (施引译) 2008 面向工程的混沌学-----理论、 应用及控制(第2版) (北京: 国防工业出版社) 第62页]

    [17]
    [18]
    [19]

    Zhong G Q, Tang W K S 2002 Int. J. Bifur. Chaos 12 1423

    [20]

    Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821

    [21]
  • [1] Zhuang Zhi-Ben, Li Jun, Liu Jing-Yi, Chen Shi-Qiang. Image encryption algorithm based on new five-dimensional multi-ring multi-wing hyperchaotic system. Acta Physica Sinica, 2020, 69(4): 040502. doi: 10.7498/aps.69.20191342
    [2] Liu Wan-Xin, Chen Rui, Liu Yong-Jie, Wang Jun-Feng, Han Xiao-Tao, Yang Ming. A pulsed high magnetic field facility for electric polarization measurements. Acta Physica Sinica, 2020, 69(5): 057502. doi: 10.7498/aps.69.20191520
    [3] Wu Mei-Mei, Zhang Chao, Zhang Can, Sun Qian-Qian, Liu Mei. Surface enhanced Raman scattering characteristics of three-dimensional pyramid stereo composite substrate. Acta Physica Sinica, 2020, 69(5): 058101. doi: 10.7498/aps.69.20191636
    [4] Zuo Fu-Chang, Mei Zhi-Wu, Deng Lou-Lou, Shi Yong-Qiang, He Ying-Bo, Li Lian-Sheng, Zhou Hao, Xie Jun, Zhang Hai-Li, Sun Yan. Development and in-orbit performance evaluation of multi-layered nested grazing incidence optics. Acta Physica Sinica, 2020, 69(3): 030702. doi: 10.7498/aps.69.20191446
    [5] Calibration source for OH radical based on synchronous photolysis. Acta Physica Sinica, 2020, (): . doi: 10.7498/aps.69.20200153
    [6] Yang Yong-Xia, Li Yu-Ye, Gu Hua-Guang. Synchronization transition from bursting to spiking and bifurcation mechanism of the pre-Bötzinger complex. Acta Physica Sinica, 2020, 69(4): 040501. doi: 10.7498/aps.69.20191509
    [7] Zhao Jian-Ning, Liu Dong-Huan, Wei Dong, Shang Xin-Chun. Thermal rectification mechanism of one-dimensional composite structure with interface thermal contact resistance. Acta Physica Sinica, 2020, 69(5): 056501. doi: 10.7498/aps.69.20191409
    [8] Wang Jing-Li, Chen Zi-Yu, Chen He-Ming. Design of polarization-insensitive 1 × 2 multimode interference demultiplexer based on Si3N4/SiNx/Si3N4 sandwiched structure. Acta Physica Sinica, 2020, 69(5): 054206. doi: 10.7498/aps.69.20191449
  • Citation:
Metrics
  • Abstract views:  1918
  • PDF Downloads:  931
  • Cited By: 0
Publishing process
  • Received Date:  20 July 2011
  • Accepted Date:  04 June 2012
  • Published Online:  05 June 2012

Analysis and synchronization of a novel chaotic system based on Chen's system

  • 1. School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 61074088).

Abstract: In this paper, a new three-dimensional autonomous chaotic system is constructed by adding a product term with variable coefficient to the first equation of Chen's system. The new system with different groups of coefficients can be chaotic or not by adjusting the variable coefficient, that is, by adjusting the variable coefficient, chaos occurs in new system when Chen's system is not chaotic, or chaos is suppressed in new system even if Chen's system is chaotic. The characteristics of the new chaotic system are analyzed in detail and the synchronization of new system is considered. Moreover, the simulation results are also presented.

Reference (21)

Catalog

    /

    返回文章
    返回