Аннотация:
This paper concerns with the study of the stability of one
equilibrium solution of an autonomous analytic Hamiltonian system in a
neighborhood of the equilibrium point with $1$-degree of freedom in the degenerate
case $H= q^4+ H_5+ H_6+\ldots$. Our main results complement the study initiated by Markeev in [9].
Ключевые слова:Hamiltonian system, equilibrium solution, type of stability, normal form, critical cases, Lyapunov’s Theorem, Chetaev’s Theorem.
Список литературы