IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v159y2022ics0960077922003332.html
   My bibliography  Save this article

The investigation of chaos conditions of some dynamical systems on the Sierpinski propeller

Author

Listed:
  • Aslan, Nisa
  • Şeker, Saliha
  • Saltan, Mustafa

Abstract

The aim of the present paper is to construct different dynamical systems on a fractal which is a not strictly self-similar set and examine chaos conditions on this structure. For this reason, we consider Sierpinski propeller as the main model and define composition functions by using some transformations such as expanding and folding mappings considering the structure of the fractal. Then, we express these systems by the code representations of their points. Moreover, we compute the periodic points of the dynamical systems and investigate whether they are chaotic or not. Finally, we compare these dynamical systems in the sense of topological conjugacy.

Suggested Citation

  • Aslan, Nisa & Şeker, Saliha & Saltan, Mustafa, 2022. "The investigation of chaos conditions of some dynamical systems on the Sierpinski propeller," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003332
    DOI: 10.1016/j.chaos.2022.112123
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922003332
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112123?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.

    References listed on IDEAS

    as
    1. Aslan, Nisa & Saltan, Mustafa & Demir, Bünyamin, 2019. "The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 422-428.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Rasool, Masrat & Belhaouari, Samir Brahim, 2023. "From Collatz Conjecture to chaos and hash function," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Canbaz, Beyrul, 2022. "Chaos classification in forced fermionic instanton solutions by the Generalized Alignment Index (GALI) and the largest Lyapunov exponent," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Seyhan, Özlem & Aslan, Nisa & Saltan, Mustafa, 2024. "Dynamical analysis of some special shift maps on discrete Sierpinski triangle," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

    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. Seyhan, Özlem & Aslan, Nisa & Saltan, Mustafa, 2024. "Dynamical analysis of some special shift maps on discrete Sierpinski triangle," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

    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:159:y:2022:i:c:s0960077922003332. 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.