IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v342y2004i1p356-362.html
   My bibliography  Save this article

Fine structure in the scaling of type-I intermittency bifurcations

Author

Listed:
  • de S. Cavalcante, Hugo L.D.
  • Leite, J.R.Rios

Abstract

Tangent bifurcations in maps with type-I intermittency have been studied numerically and oscillations in the statistical properties were found as functions of the control parameter. The average length of laminar events, the Lyapunov exponent and the averages of the dynamical variable were calculated for quadratic and quartic normal form tangencies. In addition to the exponents of the monotonic critical behavior, the frequency of the oscillations is also simply related to the nonlinear term of the maps.

Suggested Citation

  • de S. Cavalcante, Hugo L.D. & Leite, J.R.Rios, 2004. "Fine structure in the scaling of type-I intermittency bifurcations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 356-362.
  • Handle: RePEc:eee:phsmap:v:342:y:2004:i:1:p:356-362
    DOI: 10.1016/j.physa.2004.04.094
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710400514X
    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.2004.04.094?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. de S. Cavalcante, Hugo L.D & Vasconcelos, Giovani L & Rios Leite, José R, 2001. "Power law periodicity in the tangent bifurcations of the logistic map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 291-296.
    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. Vázquez-Medina, R. & Díaz-Méndez, A. & del Río-Correa, J.L. & López-Hernández, J., 2009. "Design of chaotic analog noise generators with logistic map and MOS QT circuits," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1779-1793.
    2. Ide, Kayo & Sornette, Didier, 2002. "Oscillatory finite-time singularities in finance, population and rupture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 307(1), pages 63-106.

    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:342:y:2004:i:1:p:356-362. 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.