Hamiltonian System 1
A.Y. 2025/2026
Learning objectives
The main goals of this course are: to provide the basis of Hamiltonian formalism in Classical Mechanics; to provide an introduction to perturbation theory for almost-integrable systems; to illustrate, by means of Lab sessions, some numerical methods for problems arising from Mechanics.
Expected learning outcomes
The student will be able to use the Hamiltonian formalism in the description and analysis of dynamical systems; to apply the main theorems about the dynamics of Hamiltonian systems, or their study; to use perturbation theory techniques in the Hamiltonian case.
Lesson period: First semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course can be attended as a single course.
Course syllabus and organization
Single session
Responsible
Lesson period
First semester
Course syllabus
Programming Hamiltonian systems. Resonance and nonresonance. Use of Computer for the study of Hamiltonian systems
Prerequisites for admission
Basic facts on Hamiltonian systems
Teaching methods
Laboratory
Teaching Resources
Lecture notes
Assessment methods and Criteria
Oral examination and project in the laboratory
MAT/07 - MATHEMATICAL PHYSICS - University credits: 9
Laboratories: 24 hours
Lessons: 49 hours
Lessons: 49 hours
Professors:
Bambusi Dario Paolo, Gallone Matteo
Educational website(s)
Professor(s)