セミナー

発表言語 英語
開催日 2013年12月27日 13時00分
終了日 2013年12月27日 16時00分
開催場所京都大学理学部6号館609号室
セミナー名京都力学系セミナー
タイトル Invariant manifolds in coupled cell systems 
分野 解析
その他
講演者名Atarsaikhan Ganbat
講演者所属Kyoto University
概要A coupled cell system is a network of dynamical systems, or 'cells',
each of which is given by ODEs. The network architecture is
a directed graph and it represents interactions between the
dynamical systems on cells. The main motivation of the study of
coupled cell system, formulated by M. Golubitsky, I. Stewart et
al., is to understand dynamics of the whole system from its network
architecture. As the number of cells in the network grows the coupled
cell system would be more and more complicated to analyse. To meet
such difficulty, we develop an idea of getting at least partial
information of the system from its subnetwork architecture. We
show that for a certain type of network and a generic coupled
cell system associated with that network, there exists a local
invariant manifold given in a neighborhood of equilibrium, on which
the coupled cell system behaves identically the same as a coupled
cell system associated with a subnetwork of the original network.
備考開始時間が通常と異なるのでご注意ください

今後の予定:
1月10日,17日 休み
1月24日 Camille Poignard 氏(阪大基礎工)
リンクhttps://www.math.kyoto-u.ac.jp/dynamics/