KIAM Main page Web Library  •  Publication Searh  Русский 

KIAM Preprint № 42, Moscow, 2011
Authors: Batkhin A. B., Bruno A. D., Varin V. P.
Sets of stability of multiparameter Hamiltonian systems
We consider a real linear Hamiltonian system with constant coefficients depending on real parameters. We state the necessary and sufficient conditions for stability of the stationary solution of this system at the certain parameter point. The method for computing the set of all the parameter points, at which the stationary solution is stable (i.e. the set of stability), is proposed. The application of the method is demonstrated on a gyroscope problem with four degrees of freedom and with three parameters. Computer algebra, in particularly, the Grobner basis is used in computations.
Publication language: russian,  pages: 32
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
List of publications citation:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 0 (-2), total hit from 01.09.2019 — 39
About authors:
  • Batkhin Alexander Borisovich, RAS
  • Bruno Alexander Dmitrievich, RAS
  • Varin Victor Petrovich, RAS