To the theory of stability of Hamiltonian systems
Theoretical and applied mechanics, Tome 11 (1985) no. 1, p. 101
Cet article a éte moissonné depuis 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.
@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/}
}
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/