References for the course are
1) Florian Scheck's textbook (access to e-copy of the book granted by the University of Helsinki library)
2) Lecture notes posted on this web-page.
Master's Programme in Mathematics and Statistics is responsible for the course.
The course belongs to the Mathematics and Applied mathematics module.
The course is available to students from other degree programmes.
The course include a self-contained introduction to classical mechanics, Lagrange and Hamiltonian formalism, and to concept and tools to explore chaotic Hamiltonian Dynamics.
Recommended time/stage of studies for completion: 1. or 2. year
Term/teaching period when the course will be offered: varying
Definition of dynamical system and Hamiltonian dynamical system, Hamiltonian Formalism, Linear Hamiltonian systems, Variational principles, Canonical Transformations, Hamilton–Jacobi Theory and Action-Angle Variables, Poisson Brackets and Constants of Motion,Canonical Perturbation Theory, Small divisors and KAM theorem,Transition to Chaos in Hamiltonian Systems, Criteria for Local and Global Chaos.
Lecture notes, and other material mentioned at the beginnig of the course.
Lectures and exercise classes
Exam and excercises, Course will be graded with grades 1-5
Exam, other methods will be described later