動態系統導論
An Introduction to Dynamical System
| 節 | 週二 | 週四 |
|---|---|---|
2 09:00–09:50 | 動態系統導論 SA211 | |
8 16:30–17:20 | 動態系統導論 SA211 2 節連堂 | |
9 17:30–18:20 |
* 根據陽明交大上課時間表所列
動態系統導論這門課,將介紹簡單的動態法則如何引起複雜混沌的行為,並提出嚴謹的數學理論刻畫混沌的物理行為。當中,可以學習到結合之前的數學基礎(例如:微積分、分析導論及微分方程等)共同處理複雜的動態現象,藉由實際例子看到動態系統理論在跨領域學科上的應用,並且運用科學計算的方式,從事動態行為的預測與分析。
分析導論
考試及作業
| 週次 | 主題 |
|---|---|
| 第 18 週 | the fixed point theorem the attracting and repelling fixed point theorems bifurcation, and period-doubling route to chaos symbolic dynamics chaotic dynamical systems the period-3 theorem and Sharkovsky's theorem Schwarzian derivatives and Singer's theorem hyperbolicity structural stability the horseshoe map the stable and unstable manifold theorem the Henon map |
Robert L. Devaney, An Introduction to Chaotic Dynamical Systems, second edition, Addison-Wesley Publ. Co., New York, 1989. Robinson, R. Clark An introduction to dynamical systems—continuous and discrete. Second edition. Pure and Applied Undergraduate Texts, 19. American Mathematical Society, Providence, RI, 2012. Alligood, Kathleen T.; Sauer, Tim D.; Yorke, James A. Chaos. An introduction to dynamical systems. Textbooks in Mathematical Sciences. Springer-Verlag, New York, 1997. Clark Robinson, Dynamical Systems: Stability, Symbolic Dynamics, and Chaos, second edition, CRC Press, Ann Arbor, 1999.
- 地點
- SA-337
- 時間
- 週三15:40-16:30,週四 11:10-12:00, and by appointment
- 聯絡方式
- 分機 56463