Please share your chaotic systems....

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Discussion Overview

The discussion revolves around finding and studying chaotic dynamic systems for an undergraduate assignment. Participants share suggestions for systems that exhibit chaotic behavior and discuss potential avenues for exploration.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks suggestions for interesting chaotic systems beyond mechanical examples, mentioning their recent studies on the staggering of Hyperion.
  • Another participant proposes the double pendulum as a potential system, questioning if there are specific requirements for the assignment.
  • Suggestions for systems include compound pendulums and water dripping from a faucet, with a mention of a torsional version of a compound pendulum, though uncertainty exists about its chaotic behavior.
  • A participant suggests a "compound compound pendulum," which consists of multiple pendulum segments connected together.
  • Links to seminar slides about chaotic systems are shared, with one participant expressing appreciation for the resource despite some blank slides.
  • Another participant mentions the chaotic behavior of Saturn's and Jupiter's moons as a potential area of study.
  • One participant expresses a desire for a more unique chaotic system, indicating familiarity with common examples like double pendulums.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a specific chaotic system to study, and multiple competing suggestions are presented without resolution.

Contextual Notes

Some suggestions may depend on the specific requirements of the assignment, which are not fully detailed. The effectiveness of proposed systems in exhibiting chaotic behavior remains uncertain.

Who May Find This Useful

Undergraduate students studying dynamical systems, educators looking for examples of chaotic systems, and enthusiasts interested in chaotic behavior in various contexts.

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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