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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 2020

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
Teaching staff

Prof L Forbes

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

Availability

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About Census Dates

Fees

Requisites

Prerequisites

(KYA211 and KYA212 and KMA252) or (KYA375 and KME271) or (KMA252 and KMA254)

Teaching

Teaching Pattern

3 lectures, 1 tutorial weekly

Assessment

3-hr end-of-sem exam (80%), assignments (20%)

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Textbooks

Required

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

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