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| Description
| - : 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 functionals in 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 that a direct comp
- : 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 functionals in 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 that a direct comp (en)
- Přehledný článek shrnující nejnovější výzkum v oblasti teorie Lagrangeových systémů s neholonomními varbami. Týká se systémů obyčejných a parciálních diferenciálních rovnic druhého řádu, které vznikají jako rovnice pro extremály variačních funkcionálů na fibrovaných varietách. Je prezentován geometrický přístup k zavedení Eulerových-Lagrangeových rovnic a Hamiltonových rovnic založený na pojmu Lepageova třída. Vazba je modelována jako podvarieta s distribucí. Jsou studovány vlastnosti vázaných Eulerových-Lagrangeových rovnic a vázaných Hamiltonových rovnic a jim odpovídajících vnějších diferenciálních systémů. zejména regularita a existence kanonického tvaru a Legendreovy transformace. Je kladen důraz na jednotný výklad pro mechaniku (ODR) i teorii pole (PDR), takže je možné přímé srovnání výsledků v obou oblastech. (cs)
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| Title
| - Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems
- Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems (en)
- Diferencialni rovnice s vazbami na prostorech jetu: Lagrangeovy a Hamiltonovy systémy (cs)
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| skos:prefLabel
| - Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems
- Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems (en)
- Diferencialni rovnice s vazbami na prostorech jetu: Lagrangeovy a Hamiltonovy systémy (cs)
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| skos:notation
| - RIV/61989592:15310/06:00002639!RIV07-GA0-15310___
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| http://linked.open.../vavai/riv/strany
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
| - P(GA201/06/0922), Z(MSM6198959214)
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| http://linked.open...iv/cisloPeriodika
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
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| http://linked.open...iv/duvernostUdaju
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| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
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| http://linked.open...ai/riv/idVysledku
| - RIV/61989592:15310/06:00002639
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - Jet bundles; non-holonomic constraints; semi-holonomic constraints; holonomic constraints; constrained Lagrangian systems; constrained Hamilton-De Donder equations; regularity; momenta; Hamiltonian and Legendre transformation of constrained systems (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...odStatuVydavatele
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...i/riv/nazevZdroje
| - Lobachevskii Journal of Mathematics
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| http://linked.open...in/vavai/riv/obor
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| http://linked.open...ichTvurcuVysledku
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| http://linked.open...cetTvurcuVysledku
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| http://linked.open...vavai/riv/projekt
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| http://linked.open...UplatneniVysledku
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| http://linked.open...v/svazekPeriodika
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| http://linked.open...iv/tvurceVysledku
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| http://linked.open...n/vavai/riv/zamer
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| issn
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| number of pages
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| http://localhost/t...ganizacniJednotka
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| is http://linked.open...avai/riv/vysledek
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