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
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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
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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
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