セミナー

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.