IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/367036.html
   My bibliography  Save this article

FFT Bifurcation Analysis of Routes to Chaos via Quasiperiodic Solutions

Author

Listed:
  • L. Borkowski
  • A. Stefanski

Abstract

The dynamics of a ring of seven unidirectionally coupled nonlinear Duffing oscillators is studied. We show that the FFT analysis presented in form of a bifurcation graph, that is, frequency distribution versus a control parameter, can provide a valuable and helpful complement to the corresponding typical bifurcation diagram and the course of Lyapunov exponents, especially in context of detailed identification of the observed attractors. As an example, bifurcation analysis of routes to chaos via 2-frequency and 3-frequency quasiperiodicity is demonstrated.

Suggested Citation

  • L. Borkowski & A. Stefanski, 2015. "FFT Bifurcation Analysis of Routes to Chaos via Quasiperiodic Solutions," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, December.
    • Handle: RePEc:hin:jnlmpe:367036
    DOI: 10.1155/2015/367036
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/367036.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2015/367036.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/367036?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. Molaie, Moslem & Samani, Farhad S. & Zippo, Antonio & Iarriccio, Giovanni & Pellicano, Francesco, 2023. "Spiral bevel gears: Bifurcation and chaos analyses of pure torsional system," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Barba-Franco, J.J. & Gallegos, A. & Jaimes-Reátegui, R. & Pisarchik, A.N., 2022. "Dynamics of a ring of three fractional-order Duffing oscillators," 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:jnlmpe:367036. 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.