# Correlation dimension

1. May 17, 2010

### penguin007

Hi,

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??