Analysis of the Local Integrability by Methods of Normal form and Power Geometry
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
Mathematical problems and theory of numerical methods