Detailed Information on Publication Record
2011
A routhe to Routh -- the classical setting
ADAMEC, LadislavBasic information
Original name
A routhe to Routh -- the classical setting
Name in Czech
Cesta k Routhovi -- klasický přístup
Authors
ADAMEC, Ladislav (203 Czech Republic, guarantor, belonging to the institution)
Edition
Journal of Nonlinear Mathematical Physic, 2011, 1402-9251
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
France
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 0.543
RIV identification code
RIV/00216224:14310/11:00049726
Organization unit
Faculty of Science
UT WoS
000289173100007
Keywords (in Czech)
Variační počet, Routhova redukce, Poincaré-Cartanova forma
Keywords in English
Calculus of variations; Routh reduction; Poincaré-Cartan form
Tags
International impact, Reviewed
Změněno: 27/6/2012 12:01, doc. RNDr. Ladislav Adamec, CSc.
V originále
There is a well known principle in classical mechanic stating that a variational problem independent of a configuration space variable $w$ (so called cyclic variable), but dependent on its velocity $w'$ can be expressed without both $w$ and $w'$. This principle is known as the Routh reduction. In this paper we start to develop a purely geometric approach to this reduction. We do not limit ourselves to rather special problems of mechanics and in a certain sense we are able to obtain explicit formulae for the reduced variational integral.
In Czech
V článku začínáme rozvíjet čistě geometrický přístup k Routhově redukci. Neomezujeme se na problémy klasické mechaniky. V jistém smyslu jsme schopni získat explicitní formule pro redukovaný variační integrál.
Links
| GA201/08/0469, research and development project |
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