IDEAS home Printed from https://ideas.repec.org/a/hin/complx/7832489.html
   My bibliography  Save this article

Multistable Systems with Hidden and Self-Excited Scroll Attractors Generated via Piecewise Linear Systems

Author

Listed:
  • R. J. Escalante-González
  • Eric Campos

Abstract

In this work, we present an approach to design a multistable system with one-directional (1D), two-directional (2D), and three-directional (3D) hidden multiscroll attractor by defining a vector field on with an even number of equilibria. The design of multistable systems with hidden attractors remains a challenging task. Current design approaches are not as flexible as those that focus on self-excited attractors. To facilitate a design of hidden multiscroll attractors, we propose an approach that is based on the existence of self-excited double-scroll attractors and switching surfaces whose relationship with the local manifolds associated to the equilibria lead to the appearance of the hidden attractor. The multistable systems produced by the approach could be explored for potential applications in cryptography, since the number of attractors can be increased by design in multiple directions while preserving the hidden attractor allowing a bigger key space.

Suggested Citation

  • R. J. Escalante-González & Eric Campos, 2020. "Multistable Systems with Hidden and Self-Excited Scroll Attractors Generated via Piecewise Linear Systems," Complexity, Hindawi, vol. 2020, pages 1-12, April.
  • Handle: RePEc:hin:complx:7832489
    DOI: 10.1155/2020/7832489
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2020/7832489.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/8503/2020/7832489.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2020/7832489?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Prasina Alexander & Selçuk Emiroğlu & Sathiyadevi Kanagaraj & Akif Akgul & Karthikeyan Rajagopal, 2023. "Infinite coexisting attractors in an autonomous hyperchaotic megastable oscillator and linear quadratic regulator-based control and synchronization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(1), pages 1-13, January.
    2. Azam, Anam & Aqeel, Muhammad & Sunny, Danish Ali, 2022. "Segmented disc dynamo with symmetric multidirectional patterns of multiscroll chaotic attractors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 108-127.
    3. Barajas-Ramírez, Juan Gonzalo & Franco-López, Arturo & González-Hernández, Hugo G., 2021. "Generating Shilnikov chaos in 3D piecewise linear systems," Applied Mathematics and Computation, Elsevier, vol. 395(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:hin:complx:7832489. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.