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KIAM Preprint № 53, Moscow, 2007
Authors: Bruno A. D., EdneralV.F.
Analysis of the Local Integrability by Methods of Normal form and Power Geometry
Abstract:
We consider an autonomous system of ODEs which is solved concerning derivatives. A search of its formal and analytical integrals near its finite stationary point is produced by a usage of its normal form. The infinitely far stationary point at first is moved to finite one by means of a power transformation. This approach is applied to the Yang--Mills system. It is appeared, that in a neighborhood of one infinitely far stationary point this system is locally nonintegrable. That confirms known outcome about global nonintegrability of the system.
Publication language: russian,  pages: 16
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Bruno Alexander Dmitrievich,  orcid.org/0000-0002-7465-1258KIAM RAS
  • EdneralV.F.