IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v44y2011i10p802-810.html
   My bibliography  Save this article

Adaptive generalized function projective lag synchronization of different chaotic systems with fully uncertain parameters

Author

Listed:
  • Wu, Xiang-Jun
  • Lu, Hong-Tao

Abstract

In this paper, a novel projective synchronization scheme called adaptive generalized function projective lag synchronization (AGFPLS) is proposed. In the AGFPLS method, the states of two different chaotic systems with fully uncertain parameters are asymptotically lag synchronized up to a desired scaling function matrix. By means of the Lyapunov stability theory, an adaptive controller with corresponding parameter update rule is designed for achieving AGFPLS between two diverse chaotic systems and estimating the unknown parameters. This technique is employed to realize AGFPLS between uncertain Lü chaotic system and uncertain Liu chaotic system, and between Chen hyperchaotic system and Lorenz hyperchaotic system with fully uncertain parameters, respectively. Furthermore, AGFPLS between two different uncertain chaotic systems can still be achieved effectively with the existence of noise perturbation. The corresponding numerical simulations are performed to demonstrate the validity and robustness of the presented synchronization method.

Suggested Citation

  • Wu, Xiang-Jun & Lu, Hong-Tao, 2011. "Adaptive generalized function projective lag synchronization of different chaotic systems with fully uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 802-810.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:10:p:802-810
    DOI: 10.1016/j.chaos.2011.04.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077911001457
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2011.04.006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Vincent, U.E. & Njah, A.N. & Akinlade, O. & Solarin, A.R.T., 2006. "Phase synchronization in bi-directionally coupled chaotic ratchets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 186-196.
    2. Du, Hongyue & Zeng, Qingshuang & Wang, Changhong, 2009. "Modified function projective synchronization of chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2399-2404.
    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. Li, Guo-Hui, 2009. "Projective lag synchronization in chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2630-2634.
    5. Ge, Zheng-Ming & Chang, Ching-Ming, 2009. "Nonlinear generalized synchronization of chaotic systems by pure error dynamics and elaborate nondiagonal Lyapunov function," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1959-1974.
    6. Yong Chen & Xin Li, 2007. "Function Projective Synchronization Between Two Identical Chaotic Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 883-888.
    7. Hoang, Thang Manh & Nakagawa, Masahiro, 2008. "A secure communication system using projective-lag and/or projective-anticipating synchronizations of coupled multidelay feedback systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1423-1438.
    8. Feng, Cun-Fang & Zhang, Yan & Sun, Jin-Tu & Qi, Wei & Wang, Ying-Hai, 2008. "Generalized projective synchronization in time-delayed chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 743-747.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Du, Hongyue, 2011. "Function projective synchronization in drive–response dynamical networks with non-identical nodes," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 510-514.
    2. Sun, Junwei & Guo, Jinchao & Yang, Cunxiang & Zheng, Anping & Zhang, Xuncai, 2015. "Adaptive generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 304-314.
    3. Cuimei Jiang & Shutang Liu, 2017. "Synchronization and Antisynchronization of -Coupled Complex Permanent Magnet Synchronous Motor Systems with Ring Connection," Complexity, Hindawi, vol. 2017, pages 1-15, January.
    4. Wang, Cong & Zhang, Hong-li & Fan, Wen-hui & Ma, Ping, 2020. "Finite-time function projective synchronization control method for chaotic wind power systems," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    5. Banerjee, Santo, 2009. "Synchronization of time-delayed systems with chaotic modulation and cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 745-750.
    6. Abdelhameed M. Nagy & Abdellatif Ben Makhlouf & Abdulaziz Alsenafi & Fares Alazemi, 2021. "Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative," Mathematics, MDPI, vol. 9(21), pages 1-14, November.
    7. Vasegh, Nastaran & Khellat, F., 2009. "Projective synchronization of chaotic time-delayed systems via sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1054-1061.
    8. Vincent, U.E., 2008. "Synchronization of identical and non-identical 4-D chaotic systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1065-1075.
    9. Yu, Zhenhua & Arif, Robia & Fahmy, Mohamed Abdelsabour & Sohail, Ayesha, 2021. "Self organizing maps for the parametric analysis of COVID-19 SEIRS delayed model," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:44:y:2011:i:10:p:802-810. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.