IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n213694.html

Nonlinear Dynamic Analysis and Synchronization of Four‐Dimensional Lorenz‐Stenflo System and Its Circuit Experimental Implementation

Author

Listed:
  • Cheng-Hsiung Yang
  • Cheng-Lin Wu

Abstract

Recently many chaotic systems’ circuits are designed to generate phenomenon of chaos signals. The ability to synchronize chaotic circuits opens a great number of ways to use them in application signals masking. In this paper, first a new nonlinear chaotic dynamical system had be design, analyze and build circuit. Second, using GYC, partial region stability theory is applied to adaptive control for two identical chaotic systems with uncertain parameters. The results of numerical simulation are performed to verify examples of the proposed nonlinear controllers.

Suggested Citation

  • Cheng-Hsiung Yang & Cheng-Lin Wu, 2014. "Nonlinear Dynamic Analysis and Synchronization of Four‐Dimensional Lorenz‐Stenflo System and Its Circuit Experimental Implementation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
  • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:213694
    DOI: 10.1155/2014/213694
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/213694
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2014/213694?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. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2008. "The generalized synchronization of a Quantum-CNN chaotic oscillator with different order systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 980-990.
    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. López-Gutiérrez, R.M. & Posadas-Castillo, C. & López-Mancilla, D. & Cruz-Hernández, C., 2009. "Communicating via robust synchronization of chaotic lasers," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 277-285.
    2. Assali, El Abed, 2021. "Predefined-time synchronization of chaotic systems with different dimensions and applications," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    3. Wan, Xiaojun & Sun, Jitao, 2011. "Adaptive–impulsive synchronization of chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(8), pages 1609-1617.
    4. Cheng-Hsiung Yang, 2013. "Symplectic Synchronization of Lorenz‐Stenflo System with Uncertain Chaotic Parameters via Adaptive Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Cheng-Hsiung Yang, 2013. "Enhanced Symplectic Synchronization between Two Different Complex Chaotic Systems with Uncertain Parameters," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Symplectic synchronization of different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2532-2543.
    7. Shirkavand, Mehrdad & Pourgholi, Mahdi & Yazdizadeh, Alireza, 2022. "Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    8. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Chaos synchronization and chaotization of complex chaotic systems in series form by optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 994-1002.
    9. 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.

    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:jnlaaa:v:2014:y:2014:i:1:n:213694. 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/4058 .

    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.