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Correlation dimension

  1. May 17, 2010 #1

    I read that the dimension of an attractor is not necessarily an integer. I then tried to compute the dimension of the attractor defined by the system I’m studying but I found two definitions for the dimension: -The capacity dimension;
    -The correlation dimension;
    The second one is said to be easier to compute. However, I couldn’t do it because:
    *the definitions I found lean on the existence of an explicit function, but I just have points given by the approached resolution of a differential system;
    *they introduce a dimension m and then a limit when m tends to infinity (?).

    Could anyone explain me what is the correlation dimension and how I can compute it without an explicit function??

    Thanks in advance.
  2. jcsd
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