IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i15p2477-d1715124.html
   My bibliography  Save this article

Bidirectional Conservative–Dissipative Transitions in a Five-Dimensional Fractional Chaotic System

Author

Listed:
  • Yiming Wang

    (Intelligent Manufacturing Institute, Heilongjiang Academy of Sciences, Harbin 150090, China)

  • Fengjiao Gao

    (Intelligent Manufacturing Institute, Heilongjiang Academy of Sciences, Harbin 150090, China)

  • Mingqing Zhu

    (Intelligent Manufacturing Institute, Heilongjiang Academy of Sciences, Harbin 150090, China)

Abstract

This study investigates a modified five-dimensional chaotic system by incorporating structural term adjustments and Caputo fractional-order differential operators. The modified system exhibits significantly enriched dynamic behaviors, including offset boosting, phase trajectory rotation, phase trajectory reversal, and contraction phenomena. Additionally, the system exhibits bidirectional transitions—conservative-to-dissipative transitions governed by initial conditions and dissipative-to-conservative transitions controlled by fractional order variations—along with a unique chaotic-to-quasiperiodic transition observed exclusively at low fractional orders. To validate the system’s physical realizability, a signal processing platform based on Digital Signal Processing (DSP) is implemented. Experimental measurements closely align with numerical simulations, confirming the system’s feasibility for practical applications.

Suggested Citation

  • Yiming Wang & Fengjiao Gao & Mingqing Zhu, 2025. "Bidirectional Conservative–Dissipative Transitions in a Five-Dimensional Fractional Chaotic System," Mathematics, MDPI, vol. 13(15), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:15:p:2477-:d:1715124
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/15/2477/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/15/2477/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;

    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:gam:jmathe:v:13:y:2025:i:15:p:2477-:d:1715124. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.