Graduate nonlinear dynamics/chaos studies

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SUMMARY

The discussion centers on the study of chaos theory at the graduate level, highlighting the limited availability of programs, specifically at the University of Maryland and Cornell. Participants emphasize the extensive real-world applications of chaos theory, including weather modeling, fluid dynamics, and superconductivity. The conversation also notes the importance of engaging with professors who specialize in chaos theory and encourages students to pursue related research projects, such as non-linear stochastics and the 3-body problem.

PREREQUISITES
  • Understanding of chaos theory fundamentals
  • Familiarity with non-linear dynamics
  • Knowledge of fluid dynamics principles
  • Basic concepts of stochastic processes
NEXT STEPS
  • Research graduate programs in chaos theory at University of Maryland and Cornell
  • Explore applications of chaos theory in weather modeling
  • Investigate non-linear stochastics and their implications in real-world systems
  • Study the 3-body problem and its relevance in chaos theory
USEFUL FOR

Graduate students in physics or applied mathematics, researchers interested in chaos theory applications, and anyone exploring the intersection of chaos theory with real-world phenomena.

Olaf.of.Ísland
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Is there anyone here studying chaos in graduate school? I have read a little on the subject and find it interesting. I cannot however, find many graduate schools offering studies in this field. (I know of only two, University of Maryland and Cornell) Also, what kind of real world applications does the field hold? I caught a show on National Geo about chaos theory being used in a model for controlling global weather but this is my very limited experience with the theory applied to "real life".

Any input/links would be great. Thanks in advance.
 
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Chaos theory applies to just about everything.

I remember one paper came out of Santa Cruz on fluid flow from a leaky faucet.

Weather patterns, fluid dynamics, flux vortices in type II superconductors (one of my professors is working on that one), laser diffraction patterns in gas layer, convection, the list goes on and on and on.
 
franznietzsche said:
Chaos theory applies to just about everything.

Think of it this way, if you have more than two things interacting, you have chaos. franz is right and unfortunately in most UG courses you only cover the easy linear/non-chaotic problems. See if any of your profs are doing a course in chaos theory, if not try to take it up as one of your research classes. Believe me, it is well worth it. My UG research project dealt with non-linear stochastics and I covered many topics of investigation: the 3-body problem, predator-prey models, stadium problem, the numerical computation and analysis of these models, and on and on. What was interesting was in the end it was found that if you took a line of neurons and added the right noise intensity to it the "firing" pattern became well behaved and demonstrated that stochastics(noise) could have an impact on the behavior of a non-linear system. NEAT STUFF!

So don't worry, chaos is everywhere and I am sure you won't have too look to hard to find a professor to guide you in the right direction. The subject is more "real world" than most of you're course work.
 

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