| Academic Year |
2024Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Electrical, Systems, and Control Engineering Program |
| Lecture Code |
WSG21401 |
Subject Classification |
Specialized Education |
| Subject Name |
応用数理特論 |
Subject Name
（Katakana） |
オウヨウスウリトクロン |
Subject Name in
English |
Advanced Applied Mathematical Sciences |
| Instructor |
CHUNG YONG MOO,WAKASUGI YUUTA |
Instructor
(Katakana) |
チョン ヨンム,ワカスギ ユウタ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 2Term |
| Days, Periods, and Classrooms |
(2T) Tues3-6 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lecture |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
B
:
Japanese／English |
| Course Level |
6
:
Graduate Advanced
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
Master course students |
| Keywords |
dynamical systems, chaos, fractal
|
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
We explain from the basics with concrete examples about the theory of dynamical systems which describes mathematically a variety of chaotic phenomena in natural and social sciences.
|
| Class Schedule |
lesson1 Introduction (Chung)
lesson2 Some examples (Chung)
lesson3 calculus prerequisites (Chung)
lesson4 Hyperbolicity (Chung)
lesson5 Dynamics of quadratic maps (Chung)
lesson6 Symbolic dynamics (Chung)
lesson7 Topological conjugacy (Chung)
lesson8 Dynamics on the circle (Chung)
lesson9 Structural stability (Chung)
lesson10 Sharkovsky's theorem (Chung)
lesson11 Bifurcation theory (Chung)
lesson12 Ergodic theory (Chung)
lesson13 Fractal analysis (Chung)
lesson14 Some topics 1 (Wakasugi)
lesson15 Some topics 2 (Wakasugi)
Reports and exercises will be imposed. |
Text/Reference
Books,etc. |
documents distributed |
PC or AV used in
Class,etc. |
|
| (More Details) |
none |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
After every lecture, solve the problems given as a homework. |
| Requirements |
|
| Grading Method |
Reports and exercises |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
|
| Other |
|
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |