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KIAM Preprint № 48, Moscow, 2010
Authors: Aranson A.B., Bruno A. D.
Power expansions of the shifted solutions to the N. Kowalewski system
Abstract:
We continue the calculation of power expansion solutions to the N.Kowalewski ODE system by algorithms of power geometry. A.Bruno, V.Lunev, I.Gashenenko used these algorithms to calculate expansions of solutions of the system if independent variable tends to zero and tends to infinity. Now we consider modified system of N. Kowalewski to calculate power expansions of solutions if independent variable tends to bounded nonzero constant. The 7 new power expansions of solutions of the system are calculated by power geometry algorithms. Also the implementation of used algorithms by CAS Maxima and C++ programing languages is made.
Publication language: russian,  pages: 32
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Aranson A.B.
  • Bruno Alexander Dmitrievich,  orcid.org/0000-0002-7465-1258KIAM RAS