IDEAS home Printed from https://ideas.repec.org/a/hin/complx/9260823.html
   My bibliography  Save this article

A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria

Author

Listed:
  • Gervais Dolvis Leutcho
  • Theophile Fonzin Fozin
  • Alexis Nguomkam Negou
  • Zeric Tabekoueng Njitacke
  • Viet-Thanh Pham
  • Jacques Kengne
  • Sajad Jafari

Abstract

The dimension of the conservative chaotic systems is an integer and equals the system dimension, which brings about a better ergodic property and thus have potentials in engineering application than the dissipative systems. This paper investigates the phenomenon of megastability in a unique and simple conservative oscillator with infinite of hyperbolic and nonhyperbolic equilibria. Using traditional nonlinear analysis tools, we found that the introduced oscillator possesses an invariable energy and displays either self-excited or hidden dynamics depending on the stability of its equilibria. Besides, the conservative nature of the new system is validated using theoretical measurement. Furthermore, an analog simulator of the oscillator is built and simulated in the PSpice environment to confirm that the previous results were not artifacts.

Suggested Citation

  • Gervais Dolvis Leutcho & Theophile Fonzin Fozin & Alexis Nguomkam Negou & Zeric Tabekoueng Njitacke & Viet-Thanh Pham & Jacques Kengne & Sajad Jafari, 2020. "A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria," Complexity, Hindawi, vol. 2020, pages 1-12, September.
  • Handle: RePEc:hin:complx:9260823
    DOI: 10.1155/2020/9260823
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2020/9260823.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/8503/2020/9260823.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2020/9260823?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. Vijayakumar, M.D. & Natiq, Hayder & Tametang Meli, Maxim Idriss & Leutcho, Gervais Dolvis & Tabekoueng Njitacke, Zeric, 2022. "Hamiltonian energy computation of a novel memristive mega-stable oscillator (MMO) with dissipative, conservative and repelled dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 155(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:9260823. 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.