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!

Help with fractal dimensions!

  1. Jan 25, 2012 #1
    First post!

    I'm investigating chaos in non linear coupled spring oscillators. After generating a poincare' map of said system i wanted to see if the map was fractal. i proceeded to use a box counting method in order to calculate a fractal dimension.

    I generated a plot of log(number of occupied boxes) versus log(total boxes) and the slope should be the fractal dimension, i think. However my slope was approximately .65

    Is this acceptable? I've only seen fractal dimensions of values between 1 and 2. Which leads me to believe i've done something wrong. any help?

    also if i posted in the wrong place i apologize in advance.
     
  2. jcsd
  3. Jan 25, 2012 #2

    Pythagorean

    User Avatar
    Gold Member

    should be more than 1. Dont you need to guarantee that the structures in each box are self-similar?
     
  4. Jan 25, 2012 #3

    Pythagorean

    User Avatar
    Gold Member

    I think this is more appropriate for your data:

    4ef00bf6711362601423ddefe26b6237.png

    where e is the s box size
     
  5. Jan 25, 2012 #4
    thanks for the reply

    i plotted log(1/e) on the x-axis and log(N(e)) on the y-axis, making the slope D

    in terms of taking the limit as the box approaches zero: my poincare' map has a limited resolution (number of data points taken) and at small box sizes the total number of occupied boxes will only approach the max number of data points.

    my plot of log(1/e) on the x-axis and log(N(e)) on the y-axis shows this because at small box sizes the slope approaches 0.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Help with fractal dimensions!
  1. Fractal or ? (Replies: 2)

  2. Fractals - Infinite? (Replies: 5)

  3. Help with Dimensions (Replies: 9)

Loading...