IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/083893.html
   My bibliography  Save this article

Inductorless Chua's Circuit: Experimental Time Series Analysis

Author

Listed:
  • R. M. Rubinger
  • A. W. M. Nascimento
  • L. F. Mello
  • C. P. L. Rubinger
  • N. Manzanares Filho
  • H. A. Albuquerque

Abstract

We have implemented an operational amplifier inductorless realization of the Chua's circuit. We have registered time series from its dynamical variables with the resistor R as the control parameter and varying from 1300 Ω to 2000 Ω . Experimental time series at fixed R were used to reconstruct attractors by the delay vector technique. The flow attractors and their Poincaré maps considering parameters such as the Lyapunov spectrum, its subproduct the Kaplan-Yorke dimension, and the information dimension are also analyzed here. The results for a typical double scroll attractor indicate a chaotic behavior characterized by a positive Lyapunov exponent and with a Kaplan-Yorke dimension of 2.14. The occurrence of chaos was also investigated through numerical simulations of the Chua's circuit set of differential equations.

Suggested Citation

  • R. M. Rubinger & A. W. M. Nascimento & L. F. Mello & C. P. L. Rubinger & N. Manzanares Filho & H. A. Albuquerque, 2007. "Inductorless Chua's Circuit: Experimental Time Series Analysis," Mathematical Problems in Engineering, Hindawi, vol. 2007, pages 1-16, March.
    • Handle: RePEc:hin:jnlmpe:083893
    DOI: 10.1155/2007/83893
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2007/083893.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2007/083893.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2007/83893?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
    ---><---

    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:083893. 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.