| 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 REUVERS Robin Johannes Petrus
(syllabus)
Linear dynamical systems. Forced harmonic oscillator with or without
friction. Stability theorems. Parametric resonance. Chain of
coupled harmonic oscillators: continuum limit and equations of
vibrating rope. Classic elastic diffusion. Hidden prime integrals
in the two-body problem and the harmonic oscillator problem
(reference books)
.I. Arnol'd, Mathematical Methods of Classical Mechanics, Editors
Riuniti, Rome, 1979 G. Gallavotti, Meccanica Elementare, ed. P.
Boringhieri, Turin, 1986 G. Gentile, Introduction to systems
dynamics, 1 (Ordinary differential equations, qualitative analysis and
some applications) and
2 (Lagrangian and Hamiltonian mechanics) L.D. Landau, E.M. Lifshitz,
Meccanica, Editori Riuniti, Rome, 1976
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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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| 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 MARCELLI GIOVANNA, GENTILE GUIDO
(syllabus)
Some examples of dynamical systems with application to the physical world: gradient systems, ecosystems, electric circuits and epidemiologic systems. Microcanonical ensemble, quasi-periodic motions and introduction to ergodi theory (ergodic, mixing and chaotic systems).
(reference books)
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni, Springer, Milano, 2021
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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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Oral exam
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Università Roma Tre