Courses & Units

Dynamical Systems and Chaos KYA314



This unit is available in odd numbered years only.


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.


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

Andrew Cole

Teaching staff

Level Advanced
Available as student elective? Yes
Breadth Unit? No


Location Study period Attendance options Available to
Hobart Semester 2 On-Campus International Domestic


International students
Domestic students

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Key Dates

Study Period Start date Census date WW date End date
Semester 2 12/7/2021 10/8/2021 30/8/2021 17/10/2021

* 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).

About Census Dates

Learning Outcomes


Explain the ways in which dynamical systems exhibiting chaos can arise in the fields of mathematics, physics, engineering and other domains.


Apply knowledge of the key mathematical concepts and techniques that allow analysis 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.


Field of Education Commencing Student Contribution 1 Grandfathered Student Contribution 1 Approved Pathway Course Student Contribution 2 Domestic Full Fee
010301 $993.00 $993.00 not applicable $2,701.00

1 Please refer here more information on student contribution amounts.
2 Information on eligibility and Approved Pathway courses can be found here
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 this page to get an indicative course cost.



Admission into a relevant Masters course OR (KMA252 and KMA254) OR (KYA211 and KYA212) OR (KYA375 - Engineering Physics AND KME271 - Engineering Mathematics)


Teaching Pattern

3 x 1-hr lectures weekly, 1 x 1-hr tutorial weekly


AT! - Fortnightly homework assignments (30%)

AT2 - 3-hour Exam (70%)

TimetableView the lecture timetable | View the full unit timetable



Information about any textbook requirements will be available from mid November.


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