MAGIC060: Dynamical Systems II (Maps)

Course details

A core MAGIC course

Semester

Spring 2011
Monday, January 31st to Friday, April 1st; Tuesday, May 3rd to Tuesday, May 3rd

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
0

Timetable

Tuesdays
11:05 - 11:55

Announcements

The second problem sheet, covering material from lectures 3 to 5, has been posted. Solutions will be posted on Friday 11th March.

Description

Prerequisites

Undergraduate-level courses in metric spaces and complex analysis.

Syllabus

This is an outline syllabus: further details will be added once the course material has been prepared.
  1. One-dimensional maps, circle maps, logistic map, period doubling cascade
  2. Chaos, symbolic coding of trajectories
  3. Two or higher dimensional maps, examples: cat map
  4. Hyperbolicity, homoclinic intersections, Smale horseshoe
  5. Quadratic polynomials, Julia and Mandelbrot sets

Lecturer

  • TH

    Dr Toby Hall

    University
    University of Liverpool

Bibliography

Follow the link for a book to take you to the relevant Google Book Search page

You may be able to preview the book there and see links to places where you can buy the book. There is also link marked 'Find this book in a library' - this sometimes works well, but not always - you will need to enter your location, but it will be saved after you do that for the first time.

Assessment

Attention needed

Assessment information will be available nearer the time.

Files

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Lectures

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