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Symmetries and conservation laws for the Chaplygin sleigh

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00080861" target="_blank" >RIV/00216224:14310/15:00080861 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Symmetries and conservation laws for the Chaplygin sleigh

  • Original language description

    The Chaplygin sleigh is a mechanical system subject to one linear nonholonomic constraint enforcing the plane motion. We solve equations of motion and study symmetries and conservation laws for this system after deriving general equations of nonholonomicsymmetries of the constraint Lagrangian. Our considerations are based on an efficient geometrical theory on fibred manifolds first presented and developed by Olga Rossi (Krupkova). The obtained results are thoroughly discussed from the point of view ofphysics.

  • Czech name

  • Czech description

Classification

  • Type

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

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA14-02476S" target="_blank" >GA14-02476S: Variations, geometry and physics</a><br>

  • Continuities

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

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    BSGP

  • ISSN

    1843-2654

  • e-ISSN

  • Volume of the periodical

    22

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    RO - ROMANIA

  • Number of pages

    11

  • Pages from-to

    7-17

  • UT code for WoS article

  • EID of the result in the Scopus database