Help with research in Chaos theory

[xdrgnh]

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.

 

[micromass]

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.

 

[xdrgnh]

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.

 

[bigfooted]

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

 

[Matrix0]

First of all, congratulations on your research in Chaos theory! It is a fascinating and complex field that has many applications in various fields of science.

In terms of cutting edge research in Chaos theory, there are many ongoing studies and developments. Some recent areas of interest include the application of Chaos theory in climate science, economics, and neuroscience. There is also a growing interest in studying the dynamics of complex networks and their behavior under chaotic conditions.

Incorporating some of these ideas into your current research could certainly enhance your work and potentially lead to a published paper. One suggestion would be to explore the concept of "strange attractors" in your simulations and how they relate to the behavior of the double pendulum. Additionally, you could look into the concept of bifurcations and how they affect the stability of chaotic systems.

Another potential direction for your research could be to investigate the effects of external perturbations on the chaotic behavior of the double pendulum. This could involve introducing noise or varying the initial conditions to see how it affects the motion of the pendulum.

Overall, there is a lot of exciting research happening in Chaos theory and I am sure that with your current project and incorporating some of these ideas, you will be able to make a valuable contribution to the field. Keep up the good work!