Dynamics and Modelling
Dynamique et Modélisation
Emmanuel Dormy & Claude Viterbo
(2020-2021)
Links and supports:
Download the
Anaconda
distribution of
Python
A rapid introduction to Python (in English)
Projects:
Projects presentation
Projects bibliography
Projects form (to be filled by April 30)
Planning of projects defences (May 20)
Lectures:
Lecture 1:
An introduction to dynamical systems
Chap1.pdf
Example_contour_plot.py
Lecture 2:
Cauchy-Lipschitz, asymptotic expansions and stability
Chap2.pdf
Lecture 3:
Numerical approximation
Time_stepping.pdf
Lecture 5:
Instabilities and bifurcations
Notes on the Rayleigh-Bénard instability
Lecture 7:
Time scales
Lecture 9:
Chaotic behaviour
Ed Lorenz's original article (1963).
Lorenz.py
Lecture 11:
Systems with spatial dependence (PDEs and Patterns)
Turing (1952).
Gray.py
Tutorials:
Tutorial 1
Handout (English)
Sujet (French)
Example3D.py
Elements of correction (English)
Elements de correction (French)
Traj3D.py
Poincare.py
Tutorial 2
Sujet
Tutorial 3
Sujet
book.py
Tutorial 5
Sujet
Tutorial 7
Handout
Or (1994)
Tippe.py
Tutorial 9
Handout
Gissinger et al (2010)
Gissinger (2012)
Tobias et al (1995)