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On the Routh reduction of variational integrals. Part 1: The classical theory.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00057583" target="_blank" >RIV/00216224:14310/12:00057583 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the Routh reduction of variational integrals. Part 1: The classical theory.

  • Original language description

    A geometrical approach to the reductions of one-dimensional first order variational integrals with respect to a Lie symmetry group is discussed. The method includes both the Routh reduction of cyclic variables and the Jacobi-Maupertuis reduction to the constant energy level. In full generality, it may be applied even to the Lagrange variational problems with higher order symmetries.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F08%2F0469" target="_blank" >GA201/08/0469: Oscillatory and asymptotic properties of solutions of differential equations</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    WSEAS TRANSACTIONS on MATHEMATICS

  • ISSN

    2224-2880

  • e-ISSN

  • Volume of the periodical

    11

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    GR - GREECE

  • Number of pages

    11

  • Pages from-to

    410-420

  • UT code for WoS article

  • EID of the result in the Scopus database