Please share your chaotic systems....

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SUMMARY

The discussion centers on finding interesting chaotic systems for a final assignment in a dynamical systems course. The user has studied the staggering of Hyperion using Greiner's textbook and seeks suggestions for unique chaotic systems beyond common examples like double pendulums. Recommendations include exploring compound pendulums, water dripping from a faucet, and a torsional version of a compound pendulum. Additionally, seminar slides from the University of Arizona provide further examples of chaotic systems.

PREREQUISITES
  • Understanding of dynamical systems principles
  • Familiarity with chaotic behavior in physical systems
  • Knowledge of Greiner's textbook on dynamical systems
  • Basic experience with pendulum mechanics
NEXT STEPS
  • Research "compound pendulum dynamics" for advanced chaotic behavior
  • Explore "water dripping chaos" and its mathematical modeling
  • Investigate "torsional pendulum systems" for unique dynamics
  • Review seminar slides on chaotic systems from the University of Arizona
USEFUL FOR

Undergraduate students in physics or engineering, educators teaching dynamical systems, and researchers interested in chaotic systems and their applications.

MarcoJV
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Hi.

I am an undergrad student taking a course on dynamical systems. Our final assignment is to find and study a dynamic system (not necesarily mechanic, but chaotic, natually).

I was wondering if there is experenced people in this community that could help me find an interesting system or helping me by suggesting where to look or read.

During the course, we used mainly the book of Greiner, and the last thing we studied was the staggering of Hyperion.

I will happily share it with you when I finish it.

Thank you in advance!
 
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MarcoJV said:
Our final assignment is to find and study a dynamic system (not necesarily mechanic, but chaotic, natually).
Why isn't a simple double pendulum the solution to it? Do you have special requirements or what have been your thoughts so far?
 
The ones that come to mind that you might build and study are

Compound pendulums
Water dripping from a faucet

You might try building a torsional version of a compound pendulum although I don't know if that would exhibit chaotic behavior or not.
 
Or a compound compound pendulum i.e. N pendulum segments connected together.
 
There's also Saturns and Jupiters moons.
 
jedishrfu said:
I found these seminar slides about chaotic systems that have a few others listed

http://math.arizona.edu/~shankar/efa/efa4.pdf

I found this very useful, even though there are many blank slides, thank you!

I know about double pendulums and stuff, but, I want something more attractive, something not very common.
 
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