Geodesic
To the theory of stability of Hamiltonian systems
Theoretical and applied mechanics, Tome 11 (1985) no. 1, p. 101 
A. A. Martvnyuk. To the theory of stability of Hamiltonian systems. Theoretical and applied mechanics, Tome 11 (1985) no. 1, p. 101 . http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a9/
@article{TAM_1985_11_1_a9,
     author = {A. A. Martvnyuk},
     title = {To the theory of stability of {Hamiltonian} systems},
     journal = {Theoretical and applied mechanics},
     pages = {101 },
     year = {1985},
     volume = {11},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a9/}
}
TY  - JOUR
AU  - A. A. Martvnyuk
TI  - To the theory of stability of Hamiltonian systems
JO  - Theoretical and applied mechanics
PY  - 1985
SP  - 101 
VL  - 11
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a9/
LA  - en
ID  - TAM_1985_11_1_a9
ER  - 
%0 Journal Article
%A A. A. Martvnyuk
%T To the theory of stability of Hamiltonian systems
%J Theoretical and applied mechanics
%D 1985
%P 101 
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a9/
%G en
%F TAM_1985_11_1_a9

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

On the basis of the direct Lyapunov method, a method for calculating the energy value (called the critical value) for finite-dimensional Hamiltonian systems is indicated. Examples of the Hamiltonians of V. I. Arnold, G. Kontopoulos, and also the Yang-Mills modified by the Higgs mechanism are analyzed and compact invariant sets filled with regular4 trajectories are distinguished.