Application of the Method of Asymptotic Solution to One Multi-Parameter Problem
We propose software implementation of the method of computation of asymptotic expansions (see [1,2]) of branches of the set of zeros of a polynomial in three variables near a singular point at which this polynomial is annulled with its partial derivatives. We apply this method for investigation of the set of stability of some gyroscopic system with 4 degrees of freedom and with 3 parameters. It is also possible to compute the set of stability with the help of this method for more general system with 5 parameters.
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