Perturbative and qualitative methods: tools to solve nonlinear problems - Dottorato in TECNOLOGIE DELL'INFORMAZIONE E DELLE COMUNICAZIONI (ICT) (A.A. 2023-2024)
PhD Course A.A. 2023/24
(24 hours lectures)
Perturbative methods:
tools to solve nonlinear problems
NOTE: FIRST LECTURE
MARCH 18th
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
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: Monday & Friday 3 -6 p.m. (when possible sometimes atarting at 3.30 or 4) AULA SEMINARI PAL. RM004 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. All the interested studends are invited to contact the instructor and register at the course web page https://elearning.uniroma1.it/course/view.php?id=4650