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The complete, lag and anticipated synchronization of a BLDCM chaotic system

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  • Ge, Zheng-Ming
  • Lin, Guo-Hua

Abstract

The complete, lag and anticipated synchronizations of two identical autonomous chaotic systems, Brushless DC Motors (BLDCM) systems, are studied in this paper. PC method, linear coupling and active control are used for the achievements of the complete and the lag synchronizations. Linear coupling method and active control is used for the anticipated synchronization. Generalized lag, anticipated and complete synchronization are obtained by active control. Finally, the generalized lag synchronization of BLDCM system and Lorenz system is studied.

Suggested Citation

  • Ge, Zheng-Ming & Lin, Guo-Hua, 2007. "The complete, lag and anticipated synchronization of a BLDCM chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 740-764.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:3:p:740-764
    DOI: 10.1016/j.chaos.2005.11.013
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    References listed on IDEAS

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    1. Ge, Z.-M. & Cheng, J.-W., 2005. "Chaos synchronization and parameter identification of three time scales brushless DC motor system," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 597-616.
    2. Chien, Tsun-I & Liao, Teh-Lu, 2005. "Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 241-255.
    3. Ge, Zheng-Ming & Lee, Ching-I, 2005. "Control, anticontrol and synchronization of chaos for an autonomous rotational machine system with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1855-1864.
    4. Masoller, C, 2001. "Anticipation in the synchronization of chaotic time-delay systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 301-304.
    5. Ge, Zheng-Ming & Chen, Yen-Sheng, 2005. "Adaptive synchronization of unidirectional and mutual coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 881-888.
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    Cited by:

    1. Zribi, Mohamed & Oteafy, Ahmed & Smaoui, Nejib, 2009. "Controlling chaos in the permanent magnet synchronous motor," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1266-1276.
    2. Yadav, Vijay K. & Shukla, Vijay K. & Das, Subir, 2021. "Exponential synchronization of fractional-order complex chaotic systems and its application," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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