| Language |
English
|
| From |
2009/12/04 16:30
|
| To |
2009/12/04 17:30
|
| Place | Room 110, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | GCOE Sminar |
| Title |
Symmetry-Breaking; Synchrony Breaking |
| Field |
Analysis
Other
|
| Speakers | Marty Golubitsky |
| Affiliation | Mathematical Biosciences Institute, Ohio State University |
| Abstract | A coupled cell system is a network of interacting dynamical systems. Coupled cell models assume that the output from each cell is important and that signals from two or more cells can be compared so that patterns of synchrony can emerge. We ask: which part of the qualitative dynamics observed in coupled cells is the product of network architecture and which part depends on the specific equations?
In our theory, local network symmetries replace symmetry as a way of organizing network dynamics, and synchrony-breaking replaces symmetry-breaking as a basic way in which transitions to complicated dynamics occur. Background on symmetry-breaking and pattern formation will be presented. |
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