Abstract
A new study on Symbolic Computation is now available. According to news reporting out of Moscow, Russia, by NewsRx editors, research stated, “The study of formal stability of equilibrium positions of a multiparametric Hamiltonian system in a generic case is traditionally carried out using its normal form under the condition of the absence of resonances of small orders. In this paper we propose a method of symbolic computation of the condition of existence of a resonance of arbitrary order for a system with three degrees of freedom.” Our news journalists obtained a quote from the research from the Russian Academy of Sciences, “It is shown that this condition for each resonant vector can be represented as a rational algebraic curve. By methods of computer algebra the rational parametrization of this curve for the case of an arbitrary resonance is obtained.” According to the news editors, the research concluded: “A model example of some two-parameter system of pendulum type is considered.”
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