| Course title | |||||
| 統計動力学系解析 [Statistical Dynamical System Analysis] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 3～4 | Semester | 1st | |
| Course type | 1st | Course code | 023552 | ||
| Instructor(s) | |||||
| 花﨑 逸雄 [HANASAKI Itsuo] | |||||
| Facility affiliation | Faculty of Engineering | Office | 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 |
| 1/5/2022 11:13:34 AM |