IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v351y2005i1p133-141.html
   My bibliography  Save this article

Nonlinear dynamics extraction for time-delay systems using modular neural networks synchronization and prediction

Author

Listed:
  • Ortín, S.
  • Gutiérrez, J.M.
  • Pesquera, L.
  • Vasquez, H.

Abstract

It is shown that the nonlinear dynamics of chaotic time-delay systems can be reconstructed using a new type of neural network with two modules: one for nonfeedback part with input data delayed by the embedding time, and a second one for the feedback part with input data delayed by the feedback time. The method is applied to both simulated and experimental data from an electronic analog circuit of the Mackey–Glass system. Better results are obtained for the modular than for feedforward neural networks for the same number of parameters. It is found that the complexity of the neural network model required to reconstruct nonlinear dynamics does not increase with the delay time. Synchronization between the data and the model with diffusive coupling is also achieved. We have also shown by iterating the model from the present point that the dynamics can be predicted with a forecast horizon larger than the feedback delay time.

Suggested Citation

  • Ortín, S. & Gutiérrez, J.M. & Pesquera, L. & Vasquez, H., 2005. "Nonlinear dynamics extraction for time-delay systems using modular neural networks synchronization and prediction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 133-141.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:1:p:133-141
    DOI: 10.1016/j.physa.2004.12.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104015584
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2004.12.015?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. Philippe De Lombaerde & Claudia Liliana Lizarazo Rodríguez & Gaston Vandewalle, 1995. "Crecimiento, industrialización e inflación moderada en Tailandia," Ensayos de Economía 9516, Universidad Nacional de Colombia Sede Medellín.
    2. Kelder, S.H. & Murray, N.G. & Orpinas, P. & Prokhorov, A. & McReynolds, L. & Zhang, Q. & Roberts, R., 2001. "Depression and substance use in minority middle-school students," American Journal of Public Health, American Public Health Association, vol. 91(5), pages 761-766.
    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. Hong, Jun Sung & Huang, Hui & Sabri, Bushra & Kim, Johnny S., 2011. "Substance abuse among Asian American youth: An ecological review of the literature," Children and Youth Services Review, Elsevier, vol. 33(5), pages 669-677, May.

    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:phsmap:v:351:y:2005:i:1:p:133-141. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.