| 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
|
MAT/07
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Contact Hours
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30
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Type of Activity
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Elective 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. Epidemiologic models (epidemic SIR, endemic SIR and endemic SEIR).
(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
|
Elective activities
|
|
Derived from
|
20410085 COMPLEMENTI DI MECCANICA ANALITICA - MOD. B in Physics L-30 GENTILE GUIDO
(syllabus)
Euler's angles. Euler's equation for the dynamics of the rigid body. Spinning top of Lagrange. Flow box theorem. Noether's theorem inm the case of more groups of symmetries. Theory of small oscillations.Perturbation theory. Homological equation. Isochronous and anisochronous systems. Birkhoff series. All-order perturbation theory for isochronous systems and Nekhoroshev's theorem.
(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