IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v38y2008i5p1517-1522.html
   My bibliography  Save this article

Surrogate test for noise-contaminated dynamics in the Duffing oscillator

Author

Listed:
  • Gan, Chunbiao
  • He, Shimin

Abstract

To identify random signals from nonlinear system under stochastic background is very difficult, and standard dynamical methods are generally not applicable. The pseudo-periodic surrogate algorithm recently developed by Small is introduced to test the sample time series in the Duffing oscillator under the Gaussian white noise excitation. The correlation dimensions of the noisy periodic, noise-induced chaotic and random-dominant responses of the system are compared with their corresponding artificial data respectively. Meanwhile, the leading Lyapunov exponents by Rosenstein’s algorithm are also presented to validate the identification idea on the system’s sample time series.

Suggested Citation

  • Gan, Chunbiao & He, Shimin, 2008. "Surrogate test for noise-contaminated dynamics in the Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1517-1522.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:5:p:1517-1522
    DOI: 10.1016/j.chaos.2007.01.134
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907002706
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2007.01.134?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. Gan, Chunbiao, 2005. "Noise-induced chaos and basin erosion in softening Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1069-1081.
    2. Gan, Chunbiao, 2006. "Noise-induced chaos in a quadratically nonlinear oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 920-929.
    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. Solari, Hernán G. & Natiello, Mario A., 2009. "The topological reconstruction of forced oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2023-2034.

    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. Rao, Feng & Wang, Weiming & Li, Zhenqing, 2009. "Spatiotemporal complexity of a predator–prey system with the effect of noise and external forcing," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1634-1644.
    2. Siewe, M. Siewe & Kenfack, W. Fokou & Kofane, T.C., 2019. "Probabilistic response of an electromagnetic transducer with nonlinear magnetic coupling under bounded noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 26-35.
    3. Gan, Chunbiao, 2006. "Noise-induced chaos in a quadratically nonlinear oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 920-929.
    4. Litak, Grzegorz & Borowiec, Marek & Friswell, Michael I. & Przystupa, Wojciech, 2009. "Chaotic response of a quarter car model forced by a road profile with a stochastic component," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2448-2456.
    5. Bashkirtseva, I. & Ryashko, L., 2019. "Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 78-84.
    6. Shang, Huilin & Xu, Jian, 2009. "Delayed feedbacks to control the fractal erosion of safe basins in a parametrically excited system," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1880-1896.
    7. de Souza, Silvio L.T. & Batista, Antonio M. & Caldas, Iberê L. & Viana, Ricardo L. & Kapitaniak, Tomasz, 2007. "Noise-induced basin hopping in a vibro-impact system," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 758-767.

    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:eee:chsofr:v:38:y:2008:i:5:p:1517-1522. 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.