Geodesic
Specific features of families of invariant manifolds of conservative systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2010), pp. 42-50

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we demonstrate the method of the enveloping first integral via an example of a completely integrable system of differential equations. This method allows a researcher to find and investigate singular invariant manifolds for a given family of invariant manifolds of steady motions represented by an initial system of equations. We describe specific properties of branching of the obtained families of singular invariant manifolds.
Keywords: conservative systems, invariant manifolds
Mots-clés : bifurcations. 
@article{IVM_2010_8_a4,
     author = {V. D. Irtegov},
     title = {Specific features of families of invariant manifolds of conservative systems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {42--50},
     publisher = {mathdoc},
     number = {8},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_8_a4/}
}
TY  - JOUR
AU  - V. D. Irtegov
TI  - Specific features of families of invariant manifolds of conservative systems
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2010
SP  - 42
EP  - 50
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2010_8_a4/
LA  - ru
ID  - IVM_2010_8_a4
ER  - 
%0 Journal Article
%A V. D. Irtegov
%T Specific features of families of invariant manifolds of conservative systems
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2010
%P 42-50
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2010_8_a4/
%G ru
%F IVM_2010_8_a4
V. D. Irtegov. Specific features of families of invariant manifolds of conservative systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2010), pp. 42-50. http://geodesic.mathdoc.fr/item/IVM_2010_8_a4/