IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v200y2025ip1s096007792500952x.html

Fractal-induced multistability in Chua’s circuit

Author

Listed:
  • Wang, Ning
  • Lv, Yifeng
  • Bao, Han
  • Zhao, Shuhao
  • Xu, Quan

Abstract

We study the emergence of multistability in a Chua’s circuit induced by fractal Chua’s diode with piecewise-linear self-similar segments. It not only involves the latest reported matryoshka attractors, but generates additional heterogeneous ones. In the case considered, we observe the dynamical evolution from bistable states to coexisting heterogeneous and matryoshka multistable states. In specific, the fractal-induced emergence of coexisting one pair of matryoshka chaotic hollows, two pairs of chaotic branches, one periodic limit cycle, and five locally stable points is confirmed. For different scales of the initial conditions, the coexisting attractors with different amplitudes emerge or disappear, leaving the system mixed multistable. We further study the basins of attraction for investigating the multiscale self-similar structure in the regime of this mixed multistability. The observed multistability brings about a new source of unpredictability and complexity in a simple deterministic piecewise-linear system.

Suggested Citation

  • Wang, Ning & Lv, Yifeng & Bao, Han & Zhao, Shuhao & Xu, Quan, 2025. "Fractal-induced multistability in Chua’s circuit," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p1:s096007792500952x
    DOI: 10.1016/j.chaos.2025.116939
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792500952X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116939?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Rocha, Ronilson & Medrano-T, Rene Orlando, 2022. "Chua circuit based on the exponential characteristics of semiconductor devices," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Karimov, Artur & Babkin, Ivan & Rybin, Vyacheslav & Butusov, Denis, 2024. "Matryoshka multistability: Coexistence of an infinite number of exactly self-similar nested attractors in a fractal phase space," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    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. Martini, Davide & Innocenti, Giacomo & Tesi, Alberto, 2022. "Detection of subcritical Hopf and fold bifurcations in an aeroelastic system via the Describing Function method," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Rocha, Ronilson & Medrano-T, Rene Orlando, 2023. "Stability analysis of the Chua’s circuit with generic odd nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

    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:eee:chsofr:v:200:y:2025:i:p1:s096007792500952x. 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: 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.