Help with research in Chaos theory

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Discussion Overview

The discussion revolves around an undergraduate's research in chaos theory, specifically focusing on the empirical and theoretical analysis of a double pendulum. The participant seeks insights into current trends and cutting-edge research in chaos theory to enhance their project and potentially lead to a published paper.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • An undergraduate is conducting research on chaos theory, utilizing a double pendulum and simulations in Mathematica.
  • The participant plans to use tracking software to compare empirical motion with theoretical simulations.
  • There is a desire to incorporate cutting-edge ideas in chaos theory into the current research to aim for publication.
  • One participant suggests discussing research ideas with an advisor.
  • The original poster mentions having an advisor who is an experimentalist and expresses a desire to remain with this advisor despite a focus on theoretical aspects.
  • A suggestion is made to review the work of Peter Richter as a potential resource for the participant's research.

Areas of Agreement / Disagreement

Participants generally agree on the importance of seeking additional resources and insights, but there is no consensus on the feasibility of achieving a publishable paper or the best approach to take in the research.

Contextual Notes

The discussion does not resolve the potential limitations of the participant's current research direction or the specific challenges in aligning empirical and theoretical results.

Who May Find This Useful

Undergraduates and researchers interested in chaos theory, particularly those working on experimental and theoretical aspects of dynamic systems.

xdrgnh
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Hello I'm an undergraduate who is currently doing research in Chaos theroy. So far I've built a double pendulum and simulated it on my computer using mathematica. I'm going to use a tracker software to track the empirical motion of the pendulum and try to match it with the my theoretical simulation. I feel though I'm not going far enough. I want this research in Chaos theory to result in a paper published. Can anyone tell me what is going on in the cutting edge of Chaos theory research. Maybe I can incorporate some of these ideas into my current research. Any suggestions will be appreciated.
 
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xdrgnh said:
Hello I'm an undergraduate who is currently doing research in Chaos theroy. So far I've built a double pendulum and simulated it on my computer using mathematica. I'm going to use a tracker software to track the empirical motion of the pendulum and try to match it with the my theoretical simulation. I feel though I'm not going far enough. I want this research in Chaos theory to result in a paper published. Can anyone tell me what is going on in the cutting edge of Chaos theory research. Maybe I can incorporate some of these ideas into my current research. Any suggestions will be appreciated.

Do you have an advisor? You should discuss this with her/him.
 
I do have an advisor but he's an experimentalist while I want to go into theory. He has some ideas though he's skeptical if we can go far enough to get a published paper and I do not want to change advisors.
 
You can have a look at the work of Peter Richter, for instance:
http://donar.physik.uni-bremen.de/~prichter/pdfs/ForcesDoublePendulum.pdf
http://donar.physik.uni-bremen.de/~prichter/pdfs/DoublePendulum.pdf
 
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