Perturbative and qualitative methods: tools to solve nonlinear problems - Dottorato in TECNOLOGIE DELL'INFORMAZIONE E DELLE COMUNICAZIONI (ICT) (A.A. 2021-2022)
Master Course Seminars
A.A. 2021/22
(6 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
http://www.sbai.uniroma1.it/~sandra.carillo
online lectures
https://meet.google.com/piq-kmne-gcr
Seminars Description: 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 methods. Timetable: Monday March 21, 17.30 -19.30 Monday March 28, 17.30 -19.30 Monday April 11, 17.00 -19.00 (30 minutes earlier than the previous ones) The arguments can be schematically listed in: 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. MASTER IN OPTICS AND QUANTUM INFORMATION All the interested students are kindly requested to register at https://elearning.uniroma1.it/course/view.php?id=15055#section-0