IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

Phase Space Reconstruction from Time Series Data: Where History Meets Theory

Listed author(s):
  • Huffaker, Ray G.
Registered author(s):

    In ‘dissipative’ dynamical systems, variables evolve asymptotically toward low‐dimensional ‘attractors’ that define their dynamical properties. Unfortunately, real‐world dynamical systems are generally too complex for us to directly observe these attractors. Fortunately, there is a method—‘phase space reconstruction’—that can be used to indirectly detect attractors in real‐world dynamical systems using time series data on a single variable (Broomhead and King, 1985; Schaffer and Kott, 1985; Kott et al, 1988; Williams,1997). Armed with this knowledge, we can formulate more accurate and informative models of real‐world dynamical systems. We begin by introducing the concept of phase space attractors within the context of a dynamic ISLM model. We next demonstrate how phase space reconstruction faithfully reproduces one of the model’s attractors. Finally, we discuss how phase space reconstruction fits into a more general ‘diagnostic’ modeling approach that relies on historical data to guide and test the deterministic formulation of theoretical dynamical models. As an example of diagnostic modeling, we test how closely the attractor generated by the dynamic ISLM model visually approximates the attractor reconstructed from time series data on real‐world interest rates.

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL:
    Download Restriction: no

    Paper provided by International European Forum on Innovation and System Dynamics in Food Networks in its series 2010 Internatonal European Forum, February 8-12, 2010, Innsbruck-Igls, Austria with number 100455.

    in new window

    Date of creation: Oct 2010
    Handle: RePEc:ags:iefi10:100455
    Contact details of provider: Web page:

    No references listed on IDEAS
    You can help add them by filling out this form.

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:ags:iefi10:100455. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (AgEcon Search)

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.