September 2003 Examinations: 

Resit procedure for MA1251 Chaos & Fractals

Please, read carefully: Since there is no exam for MA1251 module, the following 'resit' procedure has been set up for this module:

• The resit mark will be based on three laboratory reports (see below), which you must submit by 

Please hand in your lab reports to Dr Ruslan Davidchack or to the secretaries at the Department of Mathematics and Computer Science (F2 Mathematics Building).

• The background material and laboratory assignments can be accessed by following the links to Labs 1R - 3R below. Carefully read the background material.  You lab report should contain answers to all questions (starting with Q) including Matlab code and figures wherever requested.

•  To carry out the assignments and write the laboratory reports, you will need a PC with access to the Internet and a software package for scientific computation called Matlab. These requirements are met by any of the University CFS network PCs which will be available at the University of Leicester main campus in a number of general-access user areas over the summer and during the September examination period.

• More background material can be found in the suggested texts and web-sites listed below.

• If you have any queries or concerns, please contact Dr Ruslan Davidchack by phone at 0116 252 3819 or by e-mail at rld8@mcs.le.ac.uk
  

LABORATORIES:

Lab 1R: Maps and Orbits  

Lab 2R: Bifurcation diagrams   

Lab 3R: Lyapunov exponent   

1. H.-O. Peitgen, P.H. Richter, The beauty of fractals : images of complex dynamical systems
2. Heinz-Otto Peitgen, Hartmut Jurgens, Dietmar Saupe, Chaos and fractals : new frontiers of science
3. Robert L. Devaney, Chaos, fractals and dynamics : computer experiments in mathematics
4. Jens Feder, Fractals
5. Paul S. Addison, Fractals and chaos : an illustrated course
6. Michael Barnsley, Fractals everywhere
7. Kathleen T. Alligood, Tim D. Sauer, James A. Yorke, Chaos : an introduction to dynamical systems
8. Joseph L. McCauley, An introduction to nonlinear dynamics and chaos theory

WWW:

1. B. Fraser, The Non-Linear Lab, http://www.apmaths.uwo.ca/~bfraser/version1/nonlinearlab.html
2. Glenn Elert, The Chaos Hypertextbook, http://hypertextbook.com/chaos/
3. Larry D. Bradley, Chaos and Fractals, http://www.pha.jhu.edu/~ldb/seminar/
4. Manus J. Donahue III, Chaos Theory, http://www.duke.edu/~mjd/chaos/chaos.html
5. The MathWorks, Matlab Documentation, http://www.mathworks.com/access/helpdesk/help/techdoc/matlab.shtml