gtspring2009:research_projects:shah:blog
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gtspring2009:research_projects:shah:blog [2009/02/08 13:54] predrag refocusing Sarang |
gtspring2009:research_projects:shah:blog [2010/02/02 07:55] (current) |
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| Finished tutorial. I am still having a problem with installing the MATLAB scripts so that I can compile a movie. | Finished tutorial. I am still having a problem with installing the MATLAB scripts so that I can compile a movie. | ||
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| ===== Chaos and Gauge Field Theory ===== | ===== Chaos and Gauge Field Theory ===== | ||
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| - Left track - keep reading QFT literature. | - Left track - keep reading QFT literature. | ||
| - Right track: If GaTech is to maintain the world domination in the matters turbulent, we **//must//** learn how to quotient continuous symmetries, otherwise we cannot make sense of John G's [[gtspring2009:gibson:blog#w03_cell|periodic orbits]]. For plane Couette that is simpler to do than for the Yang-Mills (where we a totally clueless), the symmetries are global. If you read [[http://chaosbook.org/paper.shtml#discrete|World in a mirror]] and join forces with Vaggelis, you might be able to quotient discrete symmetries from John G's periodic orbits. In the Lorenz example that leads to a very pretty picture of Lorenz flow topology, Poincaré sections and return maps. In the [[http://www.cns.gatech.edu/~predrag/papers/preprints.html#ks|Kuramoto-Sivashinsky example]] it also leads to very pretty return maps. If you get it for plane Couette, great. If you do not, you will still learn lots of pretty group theory that you will need later on anyhow. | - Right track: If GaTech is to maintain the world domination in the matters turbulent, we **//must//** learn how to quotient continuous symmetries, otherwise we cannot make sense of John G's [[gtspring2009:gibson:blog#w03_cell|periodic orbits]]. For plane Couette that is simpler to do than for the Yang-Mills (where we a totally clueless), the symmetries are global. If you read [[http://chaosbook.org/paper.shtml#discrete|World in a mirror]] and join forces with Vaggelis, you might be able to quotient discrete symmetries from John G's periodic orbits. In the Lorenz example that leads to a very pretty picture of Lorenz flow topology, Poincaré sections and return maps. In the [[http://www.cns.gatech.edu/~predrag/papers/preprints.html#ks|Kuramoto-Sivashinsky example]] it also leads to very pretty return maps. If you get it for plane Couette, great. If you do not, you will still learn lots of pretty group theory that you will need later on anyhow. | ||
| + | :-) Thank you for the suggestion professor, I was afraid I was not making the right connections between these subjects. | ||
gtspring2009/research_projects/shah/blog.1234130081.txt.gz · Last modified: 2009/02/08 13:54 by predrag
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