This course is intended for advanced study of the theory of nonlinear dynamics and its application. The course covers theory of bifurcations, deterministic chaos, and complex spatio-temporal behaviour in a diverse range of physical systems. The theory is developed in a systematic manner and incorporates analytical methods, qualitative and quantitative analysis, numerical calculations, and various “real-life” examples, ranging from mechanical and biological systems to semiconductor physics and optics. The course therefore has a distinct inter- and intra-disciplinary flavour, allowing the students to tie together and contextualise a number of concepts that they have learned throughout their undergraduate studies.
Learning Outcomes
Upon successful completion, students will have the knowledge and skills to:
- Effectively use a range of theoretical methods for analyzing nonlinear dynamics;
- Employ a combination of analytical, geometrical, and numerical approaches for studying nonlinear effects;
- Identify the characteristic aspects of nonlinear oscillations and synchronization phenomena;
- Describe complex nonlinear dynamics by employing the universal principles of nonlinear bifurcations and routes to chaos;
- Understand the properties of nonlinear waves and localization;
- Develop critical thinking and problem-solving abilities, and apply these to a diverse range of practical multi-disciplinary nonlinear problems, spanning from mechanics to optics and solid-state physics;
- Understand and communicate the fundamental concepts covered in the course.
Indicative Assessment
- Two Problem Sets (20) [LO 1,2,3,4,5,6]
- Two Assignments (50) [LO 1,2,3,4,5,6,7]
- Exam (30) [LO 1,2,3,4,5,6]
In response to COVID-19: Please note that Semester 2 Class Summary information (available under the classes tab) is as up to date as possible. Changes to Class Summaries not captured by this publication will be available to enrolled students via Wattle.
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Workload
2x1h lecture per week + 1x1.5h tutorial per week + homework (total up to 10 hours per week)
Inherent Requirements
To be determined
Requisite and Incompatibility
Prescribed Texts
S.H. Strogatz, Nonlinear Dynamics and Chaos (E-book from ANU library)
Fees
Tuition fees are for the academic year indicated at the top of the page.
If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.
- Student Contribution Band:
- 2
- Unit value:
- 6 units
If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees. Where there is a unit range displayed for this course, not all unit options below may be available.
| Units | EFTSL |
|---|---|
| 6.00 | 0.12500 |
Course fees
- Domestic fee paying students
| Year | Fee |
|---|---|
| 2020 | $4050 |
- International fee paying students
| Year | Fee |
|---|---|
| 2020 | $5760 |
Offerings, Dates and Class Summary Links
ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.
First Semester
| Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|
| 4225 | 24 Feb 2020 | 02 Mar 2020 | 08 May 2020 | 05 Jun 2020 | In Person | View |
