| FM410-Complements of Analytical Mechanics
(objectives)
To deepen the study of dynamical systems, with more advanced methods, in the context of Lagrangian and Hamiltonian theory.
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Code
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20410416 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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| Module: FM410-Complements of Analytical Mechanics - MODULE A
(objectives)
To deepen the study of dynamical systems, with more advanced methods, in the context of Lagrangian and Hamiltonian theory.
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Code
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20410416-1 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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Credits
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3
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Scientific Disciplinary Sector Code
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MAT/07
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Contact Hours
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30
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Type of Activity
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Related or supplementary learning activities
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Derived from
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20410084 COMPLEMENTS OF ANALYTICAL MECHANICS - MOD A in Physics L-30 GENTILE GUIDO
(syllabus)
Linear dynamic systems. Forced harmonic oscillation in the presence or absence of dissipation. Limit sets and limit cycles. Planar systems. Gradient systems. Stability theorems. Lotka-Volterra equations. Van der pol equation. Euler angles. Euler's equations describing the dynamics of a rigid body.
(reference books)
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni, available online
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
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Dates of beginning and end of teaching activities
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From to |
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Delivery mode
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Traditional
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Attendance
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not mandatory
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Evaluation methods
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Written test
Oral exam
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| Module: FM410-Complements of Analytical Mechanics - Module B
(objectives)
To deepen the study of dynamical systems, with more advanced methods, in the context of Lagrangian and Hamiltonian theory.
|
|
Code
|
20410416-2 |
|
Language
|
ITA |
|
Type of certificate
|
Profit certificate
|
|
Credits
|
3
|
|
Scientific Disciplinary Sector Code
|
MAT/07
|
|
Contact Hours
|
30
|
|
Type of Activity
|
Related or supplementary learning activities
|
|
Derived from
|
20410085 COMPLEMENTI DI MECCANICA ANALITICA - MOD. B in Physics L-30 GENTILE GUIDO
(syllabus)
Trottola di Lagrange. Trasformazione canoniche. Parentesi di Poisson e condizione di Lie. Funzioni generatrici. Teoria delle perturbazioni. Equazione omologica. Sistemi iscocroni e anisocroni. Serie di Birkhoff. Teoria perturbativa a tutti gli ordini per sistemi isocroni e teorema di Nekhoroshev. Teorema KAM.
(reference books)
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni, available online
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
|
|
Dates of beginning and end of teaching activities
|
From to |
|
Delivery mode
|
Traditional
|
|
Attendance
|
not mandatory
|
|
Evaluation methods
|
Written test
Oral exam
|
|
|
|
Università Roma Tre