Advanced Hamiltonian Dynamics & Chaos (MATH4104)
Course level
Undergraduate
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Class hours
3 Lecture hours
1 Tutorial hour
Prerequisite
PHYS2100 or PHYS2101 or MATH3101
Assessment methods
Examination, assignments
Course enquiries
Dr Cecilia Gonzalez Tokman
This course is not currently offered, please contact the school.
Course description
Lagrangian formulation of Newtonian mechanics; Hamiltonian formalism: the Poisson bracket, canonical transformations; integrable systems: Liouville¿Arnol¿d theorem; canonical perturbation theory; order and chaos in Hamiltonian systems: the KAM theorem, twist maps. Ergodic theory: basic concepts and examples; ergodic theorems and applications; entropy. (offered in odd-numbered years)
Archived offerings
Course offerings | Location | Mode | Course Profile |
Semester 2, 2021 (26/07/2021 - 20/11/2021) | External | External | Course Profile |
Semester 2, 2021 (26/07/2021 - 20/11/2021) | St Lucia | Internal | Course Profile |
Semester 2, 2019 (22/07/2019 - 16/11/2019) | St Lucia | Internal | Course Profile |
Semester 2, 2017 (24/07/2017 - 18/11/2017) | St Lucia | Internal | Course Profile |
Semester 2, 2015 (27/07/2015 - 21/11/2015) | St Lucia | Internal | Course Profile |