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2005/06 Undergraduate Module Catalogue

MATH3395 Dynamical Systems

15 creditsClass Size: 100

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2005/06

Pre-requisites

MATH2390, and (MATH2011 or MATH1060) or equivalent.

This module is approved as an Elective

Objectives

On completing this module, students should be able to:

a) identify codimension-one bifurcations in maps and sketch bifurcation diagrams;
b) use a computer to investigate the behaviour of families of one-dimensional maps;
c) transform between the dynamics of a one-dimensional maps (the Lorenz map, the tent map and the logistic map) and symbolic dynamics;
d) use renormalisation techniques to understand the cascades of bifurcations involved in the transition to chaos.

Syllabus

Analysis of the dynamics in families of one-dimensional maps, including the period-doubling cascade route to chaos, using computer-assisted and theoretical techniques including symbolic dynamics and renormalisation. Exploration of other kinds of one-dimensional maps, including circle maps.

Teaching methods

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Lectures 25 hours


Examples Classes 8 hours

Opportunities for Formative Feedback

Regular example sheets

Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

2 hour written examination at the end of the semester (80%);
Coursework (20%)

Reading list

The reading list is available from the Library website

Last updated: 13/05/2005

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