BioControl:Week17

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Next meeting

 * Thursday, 4/26 at 9am in the Steele library.

Topics

 * Synchronization of coupled oscillators

Reading
Physica D: Nonlinear Phenomena, Volume 143, Issue 1-4, p. 1-20.http://adsabs.harvard.edu/abs/2000PhyD..143....1S
 * 1) Strogatz Strogatz, 'From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators'.
 * 1) Garcia-Ojalvo pmid=15256602

Discussion
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 * the first paper is history of a theoretical model of coupled oscillators called the Kuramoto model, which demonstrates threshold phase-locking of individual oscillators to the average population phase.
 * the first 6 or so sections are a good introduction so I would recommend reading them. Later sections give further analysis but it gets more complicated and i don't think it's as important for our interests.  we probably won't focus much on this for the meeting.
 * the second paper analyzes a theoretical circuit for synchronizing populations of repressilators, demonstrating a phase transition similar to that seen in the Kuramoto model