IDEAS home Printed from https://ideas.repec.org/a/wsi/acsxxx/v13y2010i02ns0219525910002542.html
   My bibliography  Save this article

A Method For Finding Aggregated Representations Of Linear Dynamical Systems

Author

Listed:
  • OLOF GÖRNERUP

    (Complex Systems Group, Department of Energy and Environment, Chalmers University of Technology, 412 96 Göteborg, Sweden)

  • MARTIN NILSSON JACOBI

    (Complex Systems Group, Department of Energy and Environment, Chalmers University of Technology, 412 96 Göteborg, Sweden)

Abstract

A central problem in the study of complex systems is to identify hierarchical and intertwined dynamics. A hierarchical level is defined as an aggregation of the system's variables such that the aggregation induces its own closed dynamics. In this paper, we present an algorithm that finds aggregations of linear dynamical systems, e.g. including Markov chains and diffusion processes on weighted and directed networks. The algorithm utilizes that a valid aggregation withnstates correspond to a set ofneigenvectors of the dynamics matrix such that these respect the same permutation symmetry withnorbits. We exemplify the applicability of the algorithm by employing it to identify coarse grained representations of cellular automata.

Suggested Citation

  • Olof Görnerup & Martin Nilsson Jacobi, 2010. "A Method For Finding Aggregated Representations Of Linear Dynamical Systems," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 199-215.
    • Handle: RePEc:wsi:acsxxx:v:13:y:2010:i:02:n:s0219525910002542
    DOI: 10.1142/S0219525910002542
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219525910002542
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219525910002542?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.

    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:wsi:acsxxx:v:13:y:2010:i:02:n:s0219525910002542. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/acs/acs.shtml .

    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.