BioControl:Week17

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Best of 2006-2007

Best of 2007-2008

Past Reading

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Next meeting

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

Topics

  • Synchronization of coupled oscillators

Reading

  1. Strogatz, 'From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators'. Physica D: Nonlinear Phenomena, Volume 143, Issue 1-4, p. 1-20.http://adsabs.harvard.edu/abs/2000PhyD..143....1S [Strogatz]
  2. Garcia-Ojalvo J, Elowitz MB, and Strogatz SH. . pmid:15256602. PubMed HubMed [Garcia-Ojalvo]

Related Articles

Discussion

  • 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
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