Course title
統計動力学系解析   [Statistical Dynamical System Analysis]
Course category technology speciality courses  Requirement   Credit 2 
Department   Year 34  Semester 1st 
Course type 1st  Course code 023552
Instructor(s)
花﨑 逸雄   [HANASAKI Itsuo]
Facility affiliation Faculty of Engineering Office afjgxte/L1151  Email address

Course description
This lecture introduces the basics of (nonlinear) dynamical systems and statistical mechanics with illustrative examples and practice of data analysis.
Expected Learning
To understand the basics of dynamical systems and statistical mechanics and to acquire basic skills of data analysis.
Course schedule
1: Guidance
2: Introduction of dynamical systems
3: bifurcation phenomena and chaos through discrete systems
4: Examples of chaos and part of history
5: link of synchronization and chaos through continuous dynamical system
6: Distinction of continuous dynamical systems by Poincare map
7: Brownian motion and diffusion
8: Brownian motion and time evolution of mean squared displacements (MSDs)
9: Central limit theorem as the reason of Gaussian distribution
10: Examples of big data analysis for applied mechanics
11: Classical statistical mechanics: Ensemble
12: Classical statistical mechanics: Partition function
13: Classical statistical mechanics: Transformation of variable for distribution
14: Examples of today's statistical mechanics that bridges four mechanics
15: Perspective of statistical mechanics and dynamical systems as applied mechanics
Prerequisites
Standard programming skills are necessary.
Required Text(s) and Materials
『ブラウン運動』米沢富美子著(共立出版)ISBN:978-4-320-03236-1
References
『カオスとフラクタル 非線形の不思議』山口昌哉著(講談社)ISBN:978-4-06-132652-1
Assessment/Grading
Data analysis exercises and final report will be assessed.
Message from instructor(s)
This lecture is for those who likes active learning.
Course keywords
Statistical mechanics, dynamical systems, nonlinear, chaos, random, Brownian motion, big data
Office hours
Accessible through e-mail
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
2/5/2021 3:39:11 PM