Diferencialni rovnice s vazbami na prostorech jetu: Lagrangeovy a Hamiltonovy systémy

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F06%3A00002639" target="_blank" >RIV/61989592:15310/06:00002639 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems

Popis výsledku v původním jazyce

: The paper is a survey of the theory of Lagrangian systems with non-holonomic constraints in jet bundles. The subject of the paper are systems of second order ordinary and partial differential equations that arise as extremals of variational functionalsin fibred manifolds. A geometric setting for Euler-Lagrange and Hamilton equations, based on the concept of Lepage class is presented. A constraint is modeled in the underlying fibred manifold as a fibred submanifold endowed with a distribution (the canonical distribution) A constrained system is defined by means of a Lepage class on the constraint submanifold. Constrained Euler-Lagrange equations and constrained Hamilton equations, and properties of the corresponding exterior differential systems, such as regularity, canonical form, or existence of a constraint Legendre transformation, are presented. The case of mechanics (ODEs) and field theory (PDEs) are investigated separately, however, stress is put on a unified exposition, so tha

Název v anglickém jazyce

Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems

Popis výsledku anglicky

: The paper is a survey of the theory of Lagrangian systems with non-holonomic constraints in jet bundles. The subject of the paper are systems of second order ordinary and partial differential equations that arise as extremals of variational functionalsin fibred manifolds. A geometric setting for Euler-Lagrange and Hamilton equations, based on the concept of Lepage class is presented. A constraint is modeled in the underlying fibred manifold as a fibred submanifold endowed with a distribution (the canonical distribution) A constrained system is defined by means of a Lepage class on the constraint submanifold. Constrained Euler-Lagrange equations and constrained Hamilton equations, and properties of the corresponding exterior differential systems, such as regularity, canonical form, or existence of a constraint Legendre transformation, are presented. The case of mechanics (ODEs) and field theory (PDEs) are investigated separately, however, stress is put on a unified exposition, so tha

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F06%2F0922" target="_blank" >GA201/06/0922: Globální analýza a její aplikace</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2006

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Lobachevskii Journal of Mathematics

ISSN

1818-9962

e-ISSN

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Svazek periodika

23

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

RU - Ruská federace

Počet stran výsledku

56

Strana od-do

95-150

Kód UT WoS článku

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EID výsledku v databázi Scopus

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