力学系を様々な数値シミュレーションの技法と理論的解析を組み合わせて研究している Bernd Krauskopf 氏, Hinke Osinga 氏の連続講演を行います．
| 日時： | 2009年３月10日午前10時半〜11日午後１時頃 |
| 場所： | 京都大学理学部数学教室（理学部３号館）127大会議室 |
| タイトル： | Advanced numerical methods for dynamical systems |
| 講演者： | Bernd Krauskopf (University of Bristol, UK) |
| Hinke M Osinga (Cornell University, USA / University of Bristol, UK) |
連続講義全体の概要:
The lecture series will present and discuss a number of recent numerical methods that allow one to find and track global invariant objects arising in dynamical systems. The emphasis is on global stable and unstable manifolds of flows and Poincare maps and their interactions in homoclinic and heteroclinic orbits. The idea behind our approach is to view the global invariant object in question as the solution of a family of suitably chosen boundary value problems. The resulting numerical problem is well posed and its discretization can be solved reliably with established error bounds. In particular, we find and continue solution families by using the path-following and collocation routines of the package AUTO.