Image: The logistic map x→rx(1-x): Stable periodic orbits and attractor (blue); unstable periodic orbits (red).

Applied Dynamical Systems

This course is no longer running.

Welcome to Applied Dynamical Systems. This is the central point for information about the course. Other information can be found at the official unit description (including about the exam) and the TCC pages .

Registration In addition to the requirements at your own University (including Bristol), please notify the following email addresses: At Oxford ( graduate.studies and at Bristol ( both math-info and Carl.Dettmann with your name, programme, supervisor (if applicable) and any special assessment requirements.

Lecture notes These include recommended texts (none of which are essential). They are not a substitute for lectures; please don't come and ask for help just before the exam if you have not been attending lectures. Changes are possible, particularly to future lectures. Two versions: Compact environmental version: pdf chapters 1 2 3 4 5 6 7; voluminous version for annotating: pdf chapters 1 2 3 4 5 6 7.

Problems (pdf; please hand in at the lecture): 1 2 3 4 5

Solutions 1 2 3 4 5

Minimal sample code in C for simulating the van der Pol oscillator vdp.tar (designed for the cream linux cluster; extract with "tar -xvf vdp.tar").

Solution to 1.7: s1.7.tar

Solution to 4.6 including C++ code: s4.6.txt

Assessment Normally there are three categories of assessment: This may be varied if required by the supervisor or home university; please indicate this when you register.

Miniproject Details. Past examples (distinction/first class level): osceledets sine. Giving a talk (external site).

Information for Bristol students The TCC room is in the main Mathematics building, at the end of the corridor on the first floor. Office hour to be confirmed.


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Professor Carl Dettmann /