Type of Credit: Required
Credit(s)
Number of Students
1. Introduction (I)
2. Experiments and Simple Models (I)
3. Experiments and Simple Models (II)
4. Piecewise Linear Maps and Deterministic Chaos (I)
5. Piecewise Linear Maps and Deterministic Chaos (II)
6. Universal Behaviors of Quadratic Maps (I)
7. Universal Behaviors of Quadratic Maps (II)
8. The Intermittency Route to Chaos (I)
9. The Intermittency Route to Chaos (II)
10. Strange Attractors in Dissipative Dynamical Systems (I)
11. Strange Attractors in Dissipative Dynamical Systems (II)
12. The Transition from Quasiperiodicity to Chaos (I)
13. The Transition from Quasiperiodicity to Chaos (II)
14. Controlling Chaos (I)
15. Controlling Chaos (II)
16. Synchronization of Chaotic systems (I)
17. Synchronization of Chaotic systems (II)
能力項目說明
介紹非線性動力學的基本概念、原理及應用於不同的物理系統並學習於跨領域學科的應用。
| 教學週次Course Week | 彈性補充教學週次Flexible Supplemental Instruction Week | 彈性補充教學類別Flexible Supplemental Instruction Type |
|---|---|---|
| 週次Week | 課程主題Course Theme | 課程內容與指定閱讀Content and Reading Assignment | 教學活動與作業Activity and Homework | 學習投入時數Estimated time devoted to coursework per week | |
|---|---|---|---|---|---|
| 課堂講授Lecture Hours | 課程前後Preparation Time | ||||
|
1 |
Introduction I |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
2 |
Experiments and Simple Models I |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
3 |
Experiments and Simple Models II |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
4 |
Piecewise Linear Maps and Deterministic Chaos I |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
5 |
Piecewise Linear Maps and Deterministic Chaos II |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
6 |
Universal Behaviors of Quadratic Maps I |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
7 |
Universal Behaviors of Quadratic Maps II |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
8 |
The Intermittency Route to Chaos |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
9 |
4/18期中考試 |
|
|
|
|
|
10 |
Strange Attractors in Dissipative Dynamical Systems I |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
11 |
Strange Attractors in Dissipative Dynamical Systems II |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
12 |
The Transition from Quasiperiodicity to Chaos I |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
13 |
The Transition from Quasiperiodicity to Chaos II |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
14 |
Controlling Chaos I |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
15 |
Controlling Chaos II |
Deterministic Chaos: An Introduction |
各章指定習題 |
3.0 |
5.0 |
|
16 |
6/6期末考試 |
|
|
|
|
|
17 |
非線性實驗 I |
線上實驗課程 |
實驗指定習題 |
自主線上閱讀 |
5.0 |
|
18 |
非線性實驗 II |
線上實驗課程 |
實驗指定習題 |
自主線上閱讀 |
5.0 |
作業、隨堂考試、期中考、期末考。
1. 作業、隨堂考試: 20%
2. 期中考: 40%
3. 期末考: 40%
Deterministic Chaos: An Introduction
Heinz Georg Schuster and Wolfram Just
Fourth Edition