Dynamical Systems

This a lecture course in Part II of the Mathematical Tripos (for third-year undergraduates). Notes are a small perturbation to those presented in previous years by Mike Proctor.

• Lecture Notes   PDF File
  

• Pictures of the bifurcation structure of the Logistic Map   PDF File
  

• Example Sheet 1   PDF File
  

• Example Sheet 2   PDF File
  

• Example Sheet 3   PDF File
  

• Example Sheet 4   PDF File
  

• Matlab program: solves system considered in Example 20. Specify parameter 'a'. Specify initial condition using mouse.
  

• Matlab program: solves system considered in Examples 26 and 27. Plots contours of H(x,y) for the unperturbed system with 'epsilon'=0. Specify parameters 'epsilon' and 'a'. Specify initial condition using mouse.
  

• Matlab program: solves Van der Pol equation. Specify parameter 'beta'. Plots nullclines. Specify initial condition using mouse.
  

• © Peter Haynes, phh@damtp.cam.ac.uk