
Dettaglio Insegnamento
Academic Year 
2022/2023 
Name 
Dott.  MI (1385) Modelli e Metodi Matematici per l'Ingegneria / Mathematical Models and Methods in Engineering 
Programme Year 
1 
ID Code 
056319 
Course Title 
CONTINUOUS DYNAMICAL SYSTEMS 
Course Type 
MONODISCIPLINARE 
Credits (CFU / ECTS) 
5.0 
Course Description 
The course provides both a basic knowledge of the theory of continuous dynamical systems, finite and infinite dimensional, and some advanced topics that are close to the state of the art research.
1. Introduction to continuous dynamical systems. Poincaré maps, bifurcations, stability, periodic orbits. Representation of solutions as series. Differential systems as fixed points problems.
2. Floquet theory for firstorder systems, the Hill equation, the Mathieu equation, the Duffing equation, stability criteria for the Hill equation, some applications to the stability of bimodal solutions in models for the dynamics of beams and degenerate platetype structures.
3. Infinitedimensional dissipative dynamical systems: definition, omegalimit sets, absorbing sets, attracting sets, global attractors, gradient systems, applications. 
ScientificDisciplinary Sector (SSD)



Alphabetical group

Professor

Course details

From (included)

To (excluded)

A

ZZZZ

Arioli Gianni


