IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v440y2015icp185-199.html
   My bibliography  Save this article

An entropical characterization for complex systems becoming out of control

Author

Listed:
  • Gaudiano, Marcos E.

Abstract

General properties of N-dimensional multi-component or many-particle systems exhibiting self-similar hierarchical structure are presented. The entire system is partitioned into cells, which have an associated generalized entropy S(D) that is shown to be a universal function of the fractal dimension D of the configurations, exhibiting self-similarity properties which are independent of the dimensionality N. This provides a general way to classify the components of the system according to entropical reasons, independently of the observer’s criteria. For certain complex systems, the normalized S(D) may also be associated with the large time stationary profile of the fractal density distribution in the absence of external fields (or control).

Suggested Citation

  • Gaudiano, Marcos E., 2015. "An entropical characterization for complex systems becoming out of control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 440(C), pages 185-199.
    • Handle: RePEc:eee:phsmap:v:440:y:2015:i:c:p:185-199
    DOI: 10.1016/j.physa.2015.08.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115006780
    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.2015.08.023?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. John Doyle, 2001. "Beyond the spherical cow," Nature, Nature, vol. 411(6834), pages 151-152, May.
    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. Gaudiano, Marcos E. & Revelli, Jorge A., 2019. "Spontaneous emergence of a third position in an opinion formation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 501-511.
    2. Gaudiano, Marcos E. & Revelli, Jorge A., 2022. "On the role of structured initial conditions in the Schelling model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).

    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.

      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:440:y:2015:i:c:p:185-199. 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.