Courses & Units

Dynamical Systems and Chaos KYA314

Hobart

Note:

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

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 Professor Andrew Bassom
Available as student elective? Yes
Delivered By University of Tasmania
Level Advanced

Availability

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

Key

On-campus
Off-Campus
International students
Domestic students
Note

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Key Dates

Study Period Start date Census date WW date End date
Semester 2 11/7/2022 9/8/2022 29/8/2022 16/10/2022

* 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).

Unit census dates currently displaying for 2022 are indicative and subject to change. Finalised census dates for 2022 will be available from the 1st October 2021.

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 $1,002.00 $1,002.00 not applicable $2,701.00
  • Available as a Commonwealth Supported Place
  • HECS-HELP is available on this unit, depending on your eligibility3
  • FEE-HELP is available on this unit, depending on your eligibility4

1 Please refer here more information on student contribution amounts.
2 Information on eligibility and Approved Pathway courses can be found here
3 Please refer here for eligibility for HECS-HELP
4 Please refer here for 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 this page 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 lectures weekly, 1 x 50 minute tutorial weekly

AssessmentExamination (70%)|Assignments (30%)
TimetableView 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.

LinksBooktopia textbook finder

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