Advanced Mathematical Sciences D (FY2014)

Computational Approaches to Dynamical System

COURSE OUTLINE & OBJECTIVE
　Dynamical system is now a substantial theory to study mathematical modeling. It is well-known that the theory of dynamical system has been developed under the strong influences from the computer simulations. Recently, it has been essential to take advantage from computations even for theoretical researchers. In this lecture, several recent tools to analyze dynamical system are introduced as well as the specific examples for the advanced problems. Participants can obtain sufficient knowledge and motivation to use computational approach for their researches.
Please click the following photograph to enlarge:

 
プログラム
"Computational Approaches to Dynamical System"

Coordinator:　Toshi OGAWA (Meiji University)

Date: 18th--21st, November 2014
Place:
　　Classroom 601, on the 6rd floor High-Rise Wing, Nakano Campus, Meiji University
　　Please click here for the access map.
　　Please click here for the place map.

Speakers：

Toshi OGAWA (Meiji University)
Zin ARAI (Hokkaido University)
Kazuyuki YAGASAKI (Kyoto University)
Tomoyuki MIYAJI (Meiji University)

**Please bring own personal computer. The lectures will be performed in English.

11月18日（火）
10:30 -12:00 　Toshi OGAWA
　“Introduction to computational dynamical system 1”
13:00 -14:30 　Toshi OGAWA
　"Introduction to computational dynamical system 2"
14:40 -16:10 　Toshi OGAWA
　““Introduction to computational dynamical system 3"

11月19日（水）
10:30 -12:00 　Zin ARAI
　“Introduction to Global Computation for Dynamical Systems 1"
13:00 -14:30 　Zin ARAI
　“Introduction to Global Computation for Dynamical Systems 2"
14:40 -16:10 　Zin ARAI
　"Introduction to Global Computation for Dynamical Systems 3"
16:20 -17:50 　Problem session

11月20日（木）
　　　
10:30 -12:00 　Kazuyuki YAGASAKI
　"Numerical computation of homoclinic orbits and invariant manifolds by using AUTO 1"
13:00 -14:30 　Kazuyuki YAGASAKI
　"Numerical computation of homoclinic orbits and invariant manifolds by using AUTO 2"
14:40 -16:10 　Kazuyuki YAGASAKI
　"Numerical computation of homoclinic orbits and invariant manifolds by using AUTO 3"
16:20 -17:50 　Problem session

11月21日（金）
　　　
10:30 -12:00 　Tomoyuki MIYAJI
　“Introduction to interval arithmetic and its application to ODEs 1”
13:00 -14:30 　Tomoyuki MIYAJI
　“Introduction to interval arithmetic and its application to ODEs 2”
14:40 -16:10 　Tomoyuki MIYAJI
　“Introduction to interval arithmetic and its application to ODEs 3”
16:20 -17:50 　Problem session
 
REMARKS
Supported by:
Meiji University
Meiji Institute of Advanced Study of Mathematical Sciences (MIMS)

Contact address:
Meiji Institute for Advanced Study of Mathematical Sciences
8F High-Rise Wing, Nakano Campus, Meiji University,
4-21-1 Nakano, Nakanoku, Tokyo, Japan, 164-8525
TEL: +81-3-5343-8067, FAX +81-3-5343-8068
E-mail：mims@mics.meiji.ac.jp

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