Details:
Title  Stability sets of multiparameter Hamiltonian systems  Author(s)  A.B. Batkhin, A.D. Bruno, V.P. Varin  Type  Article in Journal  Abstract  A real linear Hamiltonian system with constant coefficients that depend on several real parameters is considered. A method is proposed for calculating the sets of all values of the parameters for which the stationary solution of this system is stable for fixed values of the parameters (that is, the stability sets). The application of the method is demonstrated for a gyroscopic problem described by a Hamiltonian system with four degrees of freedom and three parameters. Computer algebra, in particular, a Gröbner basis and a Power Geometry are used. It is shown that the fourparameter generalization of this problem does not contain fundamentally new difficulties.  ISSN  00218928 
URL 
http://www.sciencedirect.com/science/article/pii/S0021892812000329 
Language  English  Journal  Journal of Applied Mathematics and Mechanics  Volume  76  Number  1  Pages  56  92  Year  2012  Edition  0  Translation 
No  Refereed 
No 
