KIAM Main page Web Library  •  Publication Searh  Русский 

KIAM Preprint № 53, Moscow, 2007
Authors: Bruno A. D., EdneralV.F.
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
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
List of publications citation:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 0 (+0), total hit from 01.09.2019 — 9
About authors:
  • Bruno Alexander Dmitrievich, RAS
  • EdneralV.F.