| FM410 - MATHEMATICAL PHYSICS 3
(objectives)
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.
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Code
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20402103 |
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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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7
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Scientific Disciplinary Sector Code
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MAT/07
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Contact Hours
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60
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Type of Activity
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Core compulsory activities
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Derived from
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20410084 COMPLEMENTI DI MECCANICA ANALITICA - MOD A in Physics L-30 GENTILE GUIDO
(syllabus)
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.
(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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Oral exam
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Derived from
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20410085 COMPLEMENTI DI MECCANICA ANALITICA - MOD. B in Physics L-30 GENTILE GUIDO
(syllabus)
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.
(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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Oral exam
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Università Roma Tre