Asymptotic approximation of the solution of a perturbed differential equation system

نویسندگان

چکیده

The article is devoted to the determination of second-order perturbations in rectangular coordinates and components body motion be under study. main difficulty solving this problem was choice a system differential equations perturbed motion, coefficients projections perturbing acceleration are entire functions with respect independent regularizing variable. This circumstance allows constructing unified algorithm for determining second higher order form finite polynomials some variables that selected at each stage approximation. Special points used reduce degree approximating polynomials, as well choose variables. generation an asymptotic approximation solution equation considered case where bifurcation occurs “fast motions” when parameter changes: two equilibrium positions merge, followed by change stability.

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ژورنال

عنوان ژورنال: E3S web of conferences

سال: 2021

ISSN: ['2555-0403', '2267-1242']

DOI: https://doi.org/10.1051/e3sconf/202125809070