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Generalized synchronization of different dimensional chaotic dynamical systems

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  • Zhang, Gang
  • Liu, Zengrong
  • Ma, Zhongjun

Abstract

Generalized synchronization between two different dimensional chaotic dynamical systems possesses significance in the research of synchronization. In order to study it, we propose an approach based on the Lyapunov stability theory. This method can be used widely. Numerical examples are given to demonstrate the effectiveness of this approach.

Suggested Citation

  • Zhang, Gang & Liu, Zengrong & Ma, Zhongjun, 2007. "Generalized synchronization of different dimensional chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 773-779.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:773-779
    DOI: 10.1016/j.chaos.2005.11.099
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    References listed on IDEAS

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    1. Chen, Hsien-Keng, 2005. "Global chaos synchronization of new chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1245-1251.
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    Cited by:

    1. Liu, Lingfeng & Miao, Suoxia, 2018. "Outer synchronization between delayed coupling networks with different dynamics and uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 890-901.
    2. Lu, Jiyong & Guo, Yanping & Ji, Yude & Fan, Shuangshuang, 2020. "Finite-time synchronization for different dimensional fractional-order complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    3. Cai, Na & Jing, Yuanwei & Zhang, Siying, 2009. "Generalized projective synchronization of different chaotic systems based on antisymmetric structure," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1190-1196.
    4. An, Xin-Lei & Yu, Jian-Ning & Chu, Yan-Dong & Zhang, Jian-Gang & Zhang, Li, 2009. "Global chaos synchronization of three coupled nonlinear autonomous systems and a novel method of chaos encryption," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 865-873.
    5. Assali, El Abed, 2021. "Predefined-time synchronization of chaotic systems with different dimensions and applications," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    6. Zhao, Yang, 2009. "Synchronization of two coupled systems of J-J type using active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3035-3041.
    7. El-Dessoky, M.M., 2009. "Synchronization and anti-synchronization of a hyperchaotic Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1790-1797.
    8. Barajas Ramírez, J.G. & Cuéllar Galarza, K.P. & Femat, R., 2012. "Generalized synchronization of strictly different systems: Partial-state synchrony," Chaos, Solitons & Fractals, Elsevier, vol. 45(3), pages 193-204.
    9. Huang, Yuehua & Wang, Yan-Wu & Xiao, Jiang-Wen, 2009. "Generalized lag-synchronization of continuous chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 766-770.
    10. Li, Lixiang & Peng, Haipeng & Yang, Yixian & Wang, Xiangdong, 2009. "On the chaotic synchronization of Lorenz systems with time-varying lags," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 783-794.
    11. Li, Guo-Hui, 2009. "Generalized synchronization of chaos based on suitable separation," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2056-2062.
    12. Zhang, Jianbao & Liu, Zengrong & Xu, Jianhua, 2009. "Synchronization in oscillator networks with coupling balance," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 556-566.

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