This article is cited in 3 papers

Non-linear stability of the Hamiltonian system on linear approximation

A. B. Batkhin


Abstract: We consider the conditions of preserving stability of stationary point of linear Hamiltonian system with small non-linear perturbations. The algorithm for selection those areas of the set of stability for which the mentioned above conditions are satisfied. The application of the algorithm is demonstrated on a 5-parametric problem with 4 degrees of freedom.

Keywords: Hamiltonian system, stability of stationary solution, formal stability.