Courses & Units
Dynamical Systems and Chaos KYA314
Introduction
This is a physics and mathematics discipline elective unit. Recommended for students doing an Honours in Physics or Applied Mathematics. Suitable unit for graduate students in interdisciplinary applied science who lack theoretical background in dynamical systems. Offered only in odd years. Teaching arrangements include weekly lectorials, workshops, and independent study computer lab sessions. On completion of this course, students will be able to apply theoretical concepts to the analysis of real-world systems. 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. Students will also learn basic numerical recipes for analysing complex dynamical systems and their applications.
Summary
| Unit name | Dynamical Systems and Chaos |
|---|---|
| Unit code | KYA314 |
| Credit points | 12.5 |
| College/School | College of Sciences and Engineering School of Natural Sciences |
| Discipline | Physics |
| Coordinator | Doctor Courtney Quinn |
| Available as an elective? | Yes |
| Delivered By | University of Tasmania |
| Level | Advanced |
Availability
This unit is currently unavailable.
Note
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* 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 (refer to How do I withdraw from a unit? for more information).
Unit census dates currently displaying for 2024 are indicative and subject to change. Finalised census dates for 2024 will be available from the 1st October 2023. Note census date cutoff is 11.59pm AEST (AEDT during October to March).
Learning Outcomes
- Explain the ways in which dynamical systems exhibiting chaos can arise in the fields of mathematics, physics, engineering and other domains.
- Use/apply mathematical concepts and techniques to analyse of the behaviour of dynamical systems.
- 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.
- Interpret and present information communicated in mathematical and plain English form.
- Demonstrate personal and social responsibility in the ethical application of approaches to problem solving, self-directed learning, and group learning.
Fee Information
| Field of Education | Commencing Student Contribution 1,3 | Grandfathered Student Contribution 1,3 | Approved Pathway Course Student Contribution 2,3 | Domestic Full Fee 4 |
|---|---|---|---|---|
| not applicable |
1 Please refer to more information on student contribution amounts.
2 Please refer to more information on eligibility and Approved Pathway courses.
3 Please refer to more information on eligibility for HECS-HELP.
4 Please refer to more information on eligibility for FEE-HELP.
If you have any questions in relation to the fees, please contact UConnect or more information is available on StudyAssist.
Please note: international students should refer to What is an indicative Fee? to get an indicative course cost.
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 50 minute lectorials weekly, 1 x 50 minute workshop weekly, 1 x 2 hour optional computer lab drop-in session weekly |
|---|---|
| Assessment | Oral exam (10%)|Project (20%)|Assignments (30%)|Examination (40%) |
| Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
| Required |
Required readings will be listed in the unit outline prior to the start of classes. |
Links | Booktopia textbook finder |
|---|
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