1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted