Fractals and chaos - what do they have in common?

  • Context: High School 
  • Thread starter Thread starter Tom83B
  • Start date Start date
  • Tags Tags
    Chaos Fractals
Click For Summary
SUMMARY

Fractals and chaos theory are interconnected concepts that reveal the underlying patterns in complex systems. The discussion highlights the practical applications of fractals, emphasizing their utility in understanding chaos. A recommended resource is the book "Chaos and Fractals" by Peitgen et al., particularly chapter 10, which focuses on Deterministic Chaos. Engaging with programming examples from this book can enhance comprehension of these concepts.

PREREQUISITES
  • Understanding of fractal geometry
  • Familiarity with chaos theory principles
  • Basic programming skills for practical application
  • Knowledge of mathematical modeling techniques
NEXT STEPS
  • Read "Chaos and Fractals" by Peitgen et al. to explore theoretical foundations
  • Study programming techniques for simulating fractals
  • Research real-world applications of fractals in fields like computer graphics and natural phenomena
  • Learn about deterministic chaos and its implications in various scientific disciplines
USEFUL FOR

Students of mathematics, computer scientists, and professionals in fields such as physics and computer graphics who are interested in the applications of fractals and chaos theory.

Tom83B
Messages
45
Reaction score
0
I really like fractals and what I find even more amazing, is that something so beautiful can be so useful. I've heard that they can be used for example in chaos.
I've gone through about 10 websites and all were about fractals and chaos. But I couldn't find a single sentence that would tell me HOW can we use them...
Could anyone please try to explain me or send some links why are the fractals so useful and at least a little about how are they used?
Thanks
 
Mathematics news on Phys.org
How about getting the book, "Chaos and Fractals" by Peitgen, et. al. It gets really interesting at chapter 10: Deterministic Chaos. Try and get good at programming to work through the many examples.
 
Thanks, I will look for it.
 

Similar threads

Undergrad Expressing any given point on plane with one unique number
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Hausdorff dimension of Riemann zeta function assuming RH
  • · Replies 11 ·
Replies
11
Views
3K
MHB Fractals in relatively prime integers
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad MOND from galaxies that are fractal
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Golden Ratio Dragon Fractal (figured it out)
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Dragon Curve Fractal Using Golden Ratio
  • · Replies 5 ·
Replies
5
Views
10K
Graduate Looking for fractals texts suitable for guided self-study.
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Testing for chaos in data(method by Doyne Farmer for 3D discrete data)
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Fractals, Chaos and Non-linear Dynamics
  • · Replies 14 ·
Replies
14
Views
5K
Graduate Liouville, the second law and chaos
  • · Replies 8 ·
Replies
8
Views
3K