Add to ORKGAbstract: 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.Note: Research direction:Mathematical problems and theory of numerical method
Abstract: We give the generalizations of the classical theorems of Cauchy and Cauchy-Koval...
AbstractThe Yang-Mills equation in Minkowski space with given initial data is considered. The gauge ...
The geometric approach to mechanics based on the Jacobi metric allows to easily construct natural me...
We study integrability of an autonomous planar polynomial system of ODEs with a degenerate singular ...
Abstract: For a system of ordinary differential equations, we introduce a concept of its l...
We consider an autonomous system of ordinary differential equations, which is resolved with respect ...
Abstract: Near its statiinary point we study solutions of an invertible system of ordinar...
We study local integrability of a plane autonomous polynomial system of ODEs depending on five param...
We study local integrability of a plane autonomous polynomial system of ODEs depending on five param...
Abstract: Near its statiinary point we study solutions of an invertible system of ordinary...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
Abstract: We consider a system of ordinary differential equations of very general form. We...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
Abstract: We give the generalizations of the classical theorems of Cauchy and Cauchy-Koval...
AbstractThe Yang-Mills equation in Minkowski space with given initial data is considered. The gauge ...
The geometric approach to mechanics based on the Jacobi metric allows to easily construct natural me...
We study integrability of an autonomous planar polynomial system of ODEs with a degenerate singular ...
Abstract: For a system of ordinary differential equations, we introduce a concept of its l...
We consider an autonomous system of ordinary differential equations, which is resolved with respect ...
Abstract: Near its statiinary point we study solutions of an invertible system of ordinar...
We study local integrability of a plane autonomous polynomial system of ODEs depending on five param...
We study local integrability of a plane autonomous polynomial system of ODEs depending on five param...
Abstract: Near its statiinary point we study solutions of an invertible system of ordinary...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
Abstract: We consider a system of ordinary differential equations of very general form. We...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
Abstract: We give the generalizations of the classical theorems of Cauchy and Cauchy-Koval...
AbstractThe Yang-Mills equation in Minkowski space with given initial data is considered. The gauge ...
The geometric approach to mechanics based on the Jacobi metric allows to easily construct natural me...