PX391 Nonlinearity, Chaos, Complexity
Lectures are second half of spring term- past papers and solutions to the (four) problem sheets are available from the Physics Undergraduate office. Problem sheet solutions are available here and in hard copy from the Undergraduate Office.
The Netlogo website, home to Netlogo free-to-download package for modelling complex systems
My (not so elegant or fast) Matlab routine for flocking birds (Vicsek model) .
There are some fun movie clips courtesy MIT, eg the coupled pendulum:
Takens theorem movies, see the supplimentary info of Sugihara et al (2012)
Forgotten the maths? Have a look on Khan Academy:
How to sketch curves: Derivative applications
What is a Taylor expansion
How to Solve quadratics by formula
Basic Trig Identities
Lecture notes- these are verbatim as given in the lectures- not textbook quality! Note I may not stick to this exact schedule.
Lecture 5+6 see also handout on classification of fixed points
MPAGS Module : Time Series Analysis- an Introduction to Advanced Methods
Given in Autumn Term.
These are written to supplement, not replace, the lectures, and so are terse in style.
Project and Assessment
To take part in this course for credit you will need to do the exercise in data analysis- this will be described in detail in the lectures. You will need to look at the RXTE websites:
For what is expected in the report: report.pdf
Matlab's own demos (both in Matlab and in the signal processing and wavelets toolboxes) are highly recommended.
Higher Order Spectra: ddw_review_hos_2003.pdf
Observing power laws: clausetpowerlaws.pdf