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gtspring2009:schedule [2009/02/10 23:18] predrag |
gtspring2009:schedule [2010/02/02 07:55] (current) |
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- | ==== Wet & Wild: Dynamics of Turbulence ==== | + | ====== Wet & Wild: Dynamics of Turbulence, spring 2009 ====== |
Tuesdays at 12:05-1:55PM - Howey W505 | Tuesdays at 12:05-1:55PM - Howey W505 | ||
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| Feb 3 | John Gibson | [[gtspring2009:schedule:findorbit|Computing equilibria, traveling waves, and periodic orbits]] | | | Feb 3 | John Gibson | [[gtspring2009:schedule:findorbit|Computing equilibria, traveling waves, and periodic orbits]] | | ||
| Feb 10 | Self Organize | please pick a topic/lead the discussion | | | Feb 10 | Self Organize | please pick a topic/lead the discussion | | ||
- | | Feb 17 | John Gibson | Channelflow: down to brass tacks | | + | | Feb 17 | John Gibson | [[gtspring2009:schedule:programming|Making Predrag's Dream Come True]]: programming with channelflow | |
- | | Feb 24 | Predrag Cvitanović | discuss ChaosBook [[http://chaosbook.org/paper.shtml#maps|Discrete time dynamics]], [[http://chaosbook.org/paper.shtml#stability|Local stability]] and [[http://chaosbook.org/paper.shtml#invariants|Cycle stability]] | | + | | Feb 24 | Predrag Cvitanović | Read [[http://www.scribd.com/full/4929920?access_key=key-28bjtf1f3w5j7pq0ef7h|Halcrow et al. on symmetries of plane Couette]] | |
- | | Mar 3 | TBA | TBA | | + | | Mar 3 | Predrag Cvitanović | Discuss term projects for everyman| |
- | | Mar 10 | John Gibson | TBA | | + | | Mar 10 | John Gibson | Come armed with questions about your project or about [[http://chaosbook.org/chapters/smale.pdf|Dynamics for cyclists]]| |
- | | Mar 17 | TBA | TBA | | + | | Mar 24 | Roman Grigoriev | Transient growth: local and global stability [[http://www.cns.gatech.edu/~roman/pdf/pre_06.pdf|Handel & Grigoriev GLE paper]]| |
- | | Mar 31 | TBA | TBA | | + | | Mar 31 | Self Organize | please pick a topic/lead the discussion | |
- | | Apr 7 | TBA | TBA | | + | | Apr 7 | Self Organize | Self Organize | |
- | | Apr 14 | TBA | TBA | | + | | Apr 14 | John Gibson | [[gtspring2009:schedule:sections_orbits|Poincare sections, periodic orbits, and other topics]] | |
- | | Apr 21 | TBA | TBA | | + | | Apr 21 | Self Organize | Self Organize | |
- | | Apr 28 | TBA | TBA | | + | | Apr 28 | John Gibson | wrapping up term project reports | |
+ | | May 1 | Self Reliance | Study group wrapped up for the summer | | ||
+ | ===== Details ===== | ||
+ | |||
+ | {{gtspring2009:gibson.png?24 }} Jan 20: Moved most of last week's in-class tutorial in to the main [[docs:tutorial| channelflow tutorial]]. //John G 2009-01-29 10:54// | ||
+ | |||
+ | {{gtspring2009:gibson.png?24 }} Feb 24: What I think would be useful: | ||
+ | - Present general plane Couette symmetry group | ||
+ | - Important isotropy groups of plane couette | ||
+ | - some portion of the 67-fold path | ||
+ | - the S group containing Nagata-Waleffe etc. | ||
+ | - how certain symmetries restrict kinds of solutions (rule out traveling waves) | ||
+ | - bifurcations and symmetry | ||
+ | - our ardent desire to quotient out the discrete and continuous symmetries | ||
+ | |||
+ | {{:gtspring2009:pc.png|}} Feb 24: Please read prior to meeting: [[http://www.scribd.com/full/4929920?access_key=key-28bjtf1f3w5j7pq0ef7h|Halcrow et al. definitive discussion of symmetries of plane Couette]] (have a look at the version uploaded Feb 23 at 5:17pm). I assume that the study group has mastered ChaosBook [[http://chaosbook.org/paper.shtml#maps|Discrete time dynamics]], [[http://chaosbook.org/paper.shtml#stability|Local stability]] and [[http://chaosbook.org/paper.shtml#invariants|Cycle stability]] under Alex guidance, and I would be happy if you also understood [[http://chaosbook.org/paper.shtml#knead|Charting the state space]] and brought [[http://chaosbook.org/paper.shtml#smale|Qualitative dynamics for cyclists]] to within your comfort zone. --- //[[predrag.cvitanovic@physics.gatech.edu|Predrag Cvitanovic]] 2009-02-23 12:10// |