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A route to Routh?the parametric problem.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00057458" target="_blank" >RIV/00216224:14310/12:00057458 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s10440-011-9654-2" target="_blank" >http://dx.doi.org/10.1007/s10440-011-9654-2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10440-011-9654-2" target="_blank" >10.1007/s10440-011-9654-2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A route to Routh?the parametric problem.

  • Original language description

    There is a well known principle in classical mechanic stating that a variational problem independent of a space variable $w$ (so called cyclic variable), but dependent on the velocity $w'$ can be expressed without both $w$ and $w'$. This is the Routh reduction principle. We develop a geometrical approach to the problem and deal with general first order variational integrals admitting a Lie symmetry group of point transformations.

  • 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

    Acta Applicandae Mathematicae

  • ISSN

    0167-8019

  • e-ISSN

  • Volume of the periodical

    117

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    20

  • Pages from-to

    115-134

  • UT code for WoS article

    000300085000007

  • EID of the result in the Scopus database