| 発表言語 |
英語
|
| 開催日 |
2009年12月04日 16時30分
|
| 終了日 |
2009年12月04日 17時30分
|
| 開催場所 | 京都大学理学部3号館 (数学教室) 110講演室 |
| セミナー名 | GCOE Sminar |
| タイトル |
Symmetry-Breaking; Synchrony Breaking |
| 分野 |
解析
その他
|
| 講演者名 | Marty Golubitsky |
| 講演者所属 | Mathematical Biosciences Institute, Ohio State University |
| 概要 | 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. |
|