KIAM Main page Web Library  •  Publication Searh  Русский 
Publication

KIAM Preprint № 33, Moscow, 2012
Authors: Batkhin A. B.
Non-linear stability of the Hamiltonian system on linear approximation
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
Publication language: russian, pages: 24
Research direction:
Mathematical problems and theory of numerical methods
Source text: