Studying at the University of Verona

Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.

Study Plan

A.A. 2024/2025 A.A. 2023/2024 A.A. 2022/2023 A.A. 2021/2022 A.A. 2020/2021 A.A. 2019/2020 A.A. 2018/2019 A.A. 2017/2018 A.A. 2016/2017 A.A. 2015/2016 A.A. 2014/2015 A.A. 2013/2014 A.A. 2012/2013 A.A. 2011/2012 A.A. 2010/2011 A.A. 2009/2010

This information is intended exclusively for students already enrolled in this course.
If you are a new student interested in enrolling, you can find information about the course of study on the course page:

Laurea in Matematica applicata - Enrollment from 2025/2026

The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.

The Study plan 2008/2009 will be available by May 2nd. While waiting for it to be published, consult the Study plan for the current academic year at the following link.

Legend | Type of training activity (TTA)

TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Dynamical Systems I   (2009/2010)

Teaching code

4S02754

Teacher

Gaetano Zampieri

Coordinator

Gaetano Zampieri

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/07 - MATHEMATICAL PHYSICS

Period

2nd Semester dal Mar 1, 2010 al Jun 15, 2010.

Location

VERONA

Seminars 0

Learning outcomes

The aim of the course is to deal with the qualitative analysis of
autonomous ordinary differential equations and to introduce to the
theory of continuous and discrete dynamical systems. Several well known
examples of the literature are discussed. The student should reach the
knowledge of the theory with reasonable depth, and also some working
ability of the examples.

Program

Linear dynamics. Bounded vector fields, solutions and compact sets,
complete vector fields. Flows and dynamical systems. Periodic and
homoclinic orbits. Invariance, omega-limit sets,
limit-cycles. Changes of variables. Rectification theorem.
Conjugations, topological equivalence. Attractivity and Lyapunov
stability. Invariance principle. Lyapunov theorem. Asymptotic stability
and instability from the linearization. Subgroups of (R,+) and periods.
Rotations on the circle, periodic and dense orbits, an application to
number theory. Quasi-periodic motion on the 2-torus.

Examination Methods

L'esame finale consiste in una prova orale.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

Teaching materials e documents