IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1309.4050.html
   My bibliography  Save this paper

Analytical solution for a class of network dynamics with mechanical and financial applications

Author

Listed:
  • Pavel Krejv{c}'i
  • Harbir Lamba
  • Sergey Melnik
  • Dmitrii Rachinskii

Abstract

We show that for a certain class of dynamics at the nodes the response of a network of any topology to arbitrary inputs is defined in a simple way by its response to a monotone input. The nodes may have either a discrete or continuous set of states and there is no limit on the complexity of the network. The results provide both an efficient numerical method and the potential for accurate analytic approximation of the dynamics on such networks. As illustrative applications, we introduce a quasistatic mechanical model with objects interacting via frictional forces, and a financial market model with avalanches and critical behavior that are generated by momentum trading strategies.

Suggested Citation

  • Pavel Krejv{c}'i & Harbir Lamba & Sergey Melnik & Dmitrii Rachinskii, 2013. "Analytical solution for a class of network dynamics with mechanical and financial applications," Papers 1309.4050, arXiv.org, revised Oct 2014.
    • Handle: RePEc:arx:papers:1309.4050
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1309.4050
    File Function: Latest version
    Download Restriction: no
    ---><---

    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:arx:papers:1309.4050. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.