The Geometry of Ordinary Variational Equations / / by Olga Krupkova

• Autore: Krupková Olga <1960->
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1997
• Edizione: 1st ed. 1997.
• Descrizione fisica: 1 online resource (CCLXIV, 254 p.)
• Disciplina: 515
• Soggetto topico: Mathematical analysis; Geometry, Differential; Global analysis (Mathematics); Manifolds (Mathematics); Mechanics, Applied; Analysis; Differential Geometry; Global Analysis and Analysis on Manifolds; Engineering Mechanics
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Basic geometric tools -- Lagrangean dynamics on fibered manifolds -- Variational Equations -- Hamiltonian systems -- Regular Lagrangean systems -- Singular Lagrangean systems -- Symmetries of Lagrangean systems -- Geometric intergration methods -- Lagrangean systems on ?: R×M»R.
• Sommario/riassunto: The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential systems). Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, etc., for any Lagrangian system of any order are presented. The key idea - to build up these theories as related with the class of equivalent Lagrangians - distinguishes this book from other texts on higher-order mechanics. The reader should be familiar with elements of differential geometry, global analysis and the calculus of variations.
• Titolo autorizzato: Geometry of ordinary variational equations
• ISBN: 3-540-69657-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910146296003321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Mathematics, . 1617-9692 ; ; 1678