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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
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About authors:
  • Batkhin Alexander Borisovich,  orcid.org/0000-0001-8871-4697KIAM RAS