IDEAS home Printed from https://ideas.repec.org/a/wly/jnlamp/v2022y2022i1n5088434.html

A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold

Author

Listed:
  • Xiang Yu
  • Zhaolun Zuo
  • Shijian Zhu
  • Xuxin Zhang

Abstract

In this paper, a general criterion for unidirectionally coupled generalized chaotic synchronization between the response system and the original chaotic system in the form of a desired manifold is presented. The expression of the response system constructed with linear error feedback is given, and the validity of the criterion is proved based on the Lyapunov stability theory. Two numerical examples are used to construct unidirectional coupled chaotic systems in the form of different types of manifolds. Numerical simulation is carried out to verify the feasibility of the construction method and the criterion.

Suggested Citation

  • Xiang Yu & Zhaolun Zuo & Shijian Zhu & Xuxin Zhang, 2022. "A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:5088434
    DOI: 10.1155/2022/5088434
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/5088434
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/5088434?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
    ---><---

    References listed on IDEAS

    as
    1. Sivaganesh, G. & Arulgnanam, A. & Seethalakshmi, A.N., 2018. "Generalized analytical solutions and experimental confirmation of complete synchronization in a class of mutually coupled simple nonlinear electronic circuits," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 294-307.
    2. Zhou, Jin & Lu, Jun-an & Wu, Xiaoqun, 2007. "Linearly and nonlinearly bidirectionally coupled synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 230-235.
    3. Che, Yan-Qiu & Wang, Jiang & Zhou, Si-Si & Deng, Bin, 2009. "Robust synchronization control of coupled chaotic neurons under external electrical stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1333-1342.
    4. Guo, Rongwei & Li, Gang, 2009. "Modification for collection of master–slave synchronized chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 453-457.
    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. Kamal, F.M. & Elsonbaty, A. & Elsaid, A., 2021. "A novel fractional nonautonomous chaotic circuit model and its application to image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Tarai (Poria), Anindita & Poria, Swarup & Chatterjee, Prasanta, 2009. "Synchronization of generalised linearly bidirectionally coupled unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 885-892.
    3. Zhang, Qunjiao & Lu, Jun-an, 2008. "Chaos synchronization of a new chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 175-179.
    4. Li, Damei & Wang, Pei & Lu, Jun-an, 2009. "Some synchronization strategies for a four-scroll chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2553-2559.
    5. Faedo, Nicolás & García-Violini, Demián & Ringwood, John V., 2021. "Controlling synchronization in a complex network of nonlinear oscillators via feedback linearisation and H∞-control," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    6. Yu, Dong & Lu, Lulu & Wang, Guowei & Yang, Lijian & Jia, Ya, 2021. "Synchronization mode transition induced by bounded noise in multiple time-delays coupled FitzHugh–Nagumo model," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    7. Sivaganesh, G. & Arulgnanam, A. & Seethalakshmi, A.N., 2019. "Stability enhancement by induced synchronization using transient uncoupling in certain coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 217-228.

    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:wly:jnlamp:v:2022:y:2022:i:1:n:5088434. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/3197 .

    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.