IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v186y2024ics0960077924007744.html
   My bibliography  Save this article

Modeling and dynamics analysis of a novel fractional-order meminductive multi-stable chaotic circuit and its FPGA implementation

Author

Listed:
  • Wu, Chaojun
  • Xiong, Linhai
  • Yang, Ningning

Abstract

Integrating a meminductor into a Chua's circuit and extending it to fractional order can produce chaotic circuits with complex dynamical behaviour. First, a fractional-order meminductor model is developed and it's meminductive characteristic curve is investigated. Subsequently, the dynamical behaviour of the fractional-order meminductive chaotic circuit is analysed by means of phase diagrams, bifurcation diagrams, and Lyapunov exponential diagrams. The results show that the circuit generates a large number of coexisting attractors, has multistability, state transition phenomenon, achieves amplitude control and offset boosting control. Finally, circuit simulations were performed and FPGA experiments were conducted using the NI-Labview platform. The experimental results are in good agreement with the numerical simulation results, confirming the accuracy and feasibility of the circuit.

Suggested Citation

  • Wu, Chaojun & Xiong, Linhai & Yang, Ningning, 2024. "Modeling and dynamics analysis of a novel fractional-order meminductive multi-stable chaotic circuit and its FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924007744
    DOI: 10.1016/j.chaos.2024.115222
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924007744
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115222?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.

    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:186:y:2024:i:c:s0960077924007744. 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: 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.