Perturbative and qualitative methods: tools to solve nonlinear problems - Dottorato in TECNOLOGIE DELL'INFORMAZIONE E DELLE COMUNICAZIONI (ICT) (A.A. 2022-2023) | Department of Basic and Applied Sciences for Engineering (SBAI).

Perturbative and qualitative methods: tools to solve nonlinear problems - Dottorato in TECNOLOGIE DELL'INFORMAZIONE E DELLE COMUNICAZIONI (ICT) (A.A. 2022-2023)

Anno Accademico:

2022-2023

Corso di Laurea:

Dottorato in TECNOLOGIE DELL'INFORMAZIONE E DELLE COMUNICAZIONI (ICT)

Tipo Classe di Laurea:

Altro

Materia:

Perturbative and qualitative methods: tools to solve nonlinear problems

Canale (lettera iniziale):

Canale (lettera finale):

Orario di ricevimento:

contattare la Docente via email. Il ricevimento, per ora e` su Google Meet). Appena possibile nello studio Docente.

Luogo ricevimento:

online - aula virtuale del corso

Periodo di erogazione del corso:

II SEMESTRE MAR/MAG 2022

Programma:

Perturbation-methods-2023.pdf

Luogo delle lezioni :

online (Google Meet)

Orario delle lezioni :

FIRST LECTURE Thursday April, 27 2.00 p.m.- 4 p.m.

Note:

PhD Course A.A. 2022/23

(24 hours lectures)

Perturbative methods:

tools to solve nonlinear problems

Instructor: Prof. Sandra Carillo

Dipartimento di Scienze di Base e Applicate per l’Ingegneria

Sapienza Universita` di Roma

Sandra.Carillo@uniroma1.it

http://www.sbai.uniroma1.it/~sandra.carillo

Course outline: The aim of these Seminars is to provide some ideas on methods

to study nonlinear problems modelled via nonlinear ordinary differential equations.

Specifically, a brief overview on ad hoc methods developed when a small parameter

appears is given. The examples of weakly damped oscillator (toy problem) and the

physical pendulum are considered to illustrate the method.

Timetable:

Tuesday & Thurday 12 -2 p.m. (when possible)

ORGANISATIONAL MEETINGS ON APRIL THE 14TH AND THE 18TH
FIRST LECTURE APRIL THE 27TH 2-4 p.m.

The arguments can be schematically listed in:

Qualitative methods: an introduction.
Straightforward Perturbation Method.
Multiple Scale Method.

The results are visualised via computer algebra manipulation (MATLAB’ Tollbox).

Texts: Selected Chapters from

M.H.Holmes, Introduction to Perturbation Methods, M.H.Holmes, Introduction to Pertur- bation Methods, Springer, New York, 1995; Author(s): M.H.Holmes; ISBN-13: 978- 0000000000

M. Lo Schiavo, Note di sistemi dinamici, SIMAI e-Lecture Notes, Vol 12 (2013) http://cab.unime.it/journals/index.php/lecture/article/view/928, ISBN-13:978- 88-905708-5-8

Further material is provided by the Instructor.

All the interested studends are invited to contact the instructor and register at

https://elearning.uniroma1.it/course/view.php?id=4650

Link esterni:

Dottorato I.C.T.

OFFERTA FORMATIVA

MOODLE PLATFORM (FREE BUT MANDATORY REGISTRATION REQUIRED)