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
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 2025/2026The 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.
1° Year
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2° Year activated in the A.Y. 2010/2011
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3° Year activated in the A.Y. 2011/2012
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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.
Dynamical Systems I (2010/2011)
Teaching code
4S02754
Teacher
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/07 - MATHEMATICAL PHYSICS
Period
II semestre dal Mar 1, 2011 al Jun 15, 2011.
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.
Teaching materials e documents
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Appunti (plain, it, 0 KB, 3/2/11)