CONTINUING THE STUDY, BEGAN DURING FM210, OF DYNAMIC SYSTEMS OF PHYSICAL INTEREST WITH MOST STYLISH AND POWERFUL TECHNIQUES, SUCH AS THE LAGRANGIAN AND HAMITONIAN FORMALISM, THAT ARE IN THE VAST RANGE OF APPLICATIONS OF ANALYSIS AND MATHEMATICAL PHYSICS.
teacher profile teaching materials
Perturbation theory. Homological equation. Perturbative series. Birkhoff series. Perturbation theory to all orders for isochronous systems. KAM theorem.
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
Fruizione: 20410085 COMPLEMENTI DI MECCANICA ANALITICA - MOD. B in Fisica L-30 GENTILE GUIDO
Programme
Linear dynamic systems. Planar systems. Gradient systems. Stability theorems. Limit cycles. Angles of Euler, Equations of Euler. Lagrange top.Perturbation theory. Homological equation. Perturbative series. Birkhoff series. Perturbation theory to all orders for isochronous systems. KAM theorem.
Core Documentation
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni, available onlineG. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
Type of delivery of the course
Lectures.Attendance
Attending the course is recommended but not mandatory.Type of evaluation
The exam consists of an oral interview in which the student will have to discuss the topics covered in class, with reference to the texts used and the notes distributed in class. teacher profile teaching materials
Perturbation theory. Homological equation. Perturbative series. Birkhoff series. Perturbation theory to all orders for isochronous systems. KAM theorem.
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
Fruizione: 20410084 COMPLEMENTI DI MECCANICA ANALITICA - MOD A in Fisica L-30 GENTILE GUIDO
Programme
Linear dynamic systems. Planar systems. Gradient systems. Stability theorems. Limit cycles. Angles of Euler, Equations of Euler. Lagrange top.Perturbation theory. Homological equation. Perturbative series. Birkhoff series. Perturbation theory to all orders for isochronous systems. KAM theorem.
Core Documentation
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni, available onlineG. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
Type of delivery of the course
Lectures.Attendance
Attending the course is recommended but not mandatory.Type of evaluation
The exam consists of an oral interview in which the student will have to discuss the topics covered in class, with reference to the texts used and the notes distributed in class.