Hobart
This unit is available in odd numbered years only.
Introduction
Provides grounding in theoretical physics for students interested in doing Honours in Theoretical Physics or Applied Mathematics. Topics covered include: Linear and Non-linear systems, examples. Phase plane and phase space. The Hartmann Linearization Theorem. Co-dimension 1 bifurcations; saddle-node, pitchfork and Hopf bifurcations. Limit cycles and oscillations. Global bifurcations. Homoclinic and heteroclinic orbits. Characterization of chaos. Routes to chaos, period doubling, secondary Hopf bifurcations, intermittency. Homoclinic chaos. Mel'nikov theory.
Summary 2021
| Unit name | Dynamical Systems and Chaos |
|---|---|
| Unit code | KYA314 |
| Credit points | 12.5 |
| Faculty/School | College of Sciences and Engineering School of Natural Sciences |
| Discipline | Physics |
| Coordinator | Andrew Cole |
| Teaching staff | |
| Level | Advanced |
| Available as student elective? | Yes |
| Breadth Unit? | No |
Availability
Note
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Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.
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TNE Program units special approval requirements.
* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see withdrawal dates explained for more information).
Learning Outcomes
1 | Explain the ways in which dynamical systems exhibiting chaos can arise in the fields of mathematics, physics, engineering and other domains. |
2 | Apply knowledge of the key mathematical concepts and techniques that allow analysis of the behaviour of dynamical systems. |
3 | Apply a wide range of mathematical and computational techniques to determine the local and global behaviour of dynamical systems by understanding bifurcations and equilibrium points. |
4 | Interpret and present information communicated in mathematical and plain English form. |
5 | Demonstrate personal and social responsibility in the ethical application of approaches to problem solving, self-directed learning, and group learning. |
Fees
Requisites
Prerequisites
Admission into a relevant Masters course OR (KMA252 and KMA254) OR (KYA211 and KYA212) OR (KYA375 - Engineering Physics AND KME271 - Engineering Mathematics)
Teaching
| Teaching Pattern | 3 x 1-hr lectures weekly, 1 x 1-hr tutorial weekly |
|---|---|
| Assessment | AT! - Fortnightly homework assignments (30%) AT2 - 3-hour Exam (70%) |
| Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
| Required | Information about any textbook requirements will be available from mid November. |
|---|---|
| Recommended |
The University reserves the right to amend or remove courses and unit availabilities, as appropriate.