This paper describes power transformations of degenerate autonomous polynomial systems of ordinary differential equations which reduce such systems to a non-degenerative form. Example of creating exact first integrals of motion of some planar degenerate system in a closed form is given
Abstract: Here we present a way of computation of asymptotic expansions of solutions to al...
We study local integrability of a plane autonomous polynomial system of ODEs depending on five param...
In this paper a study on constructive construction of the generalized normal forms (GNF) is continu...
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...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
We study integrability of an autonomous planar polynomial system of ODEs with a degenerate singular ...
Linear systems of ordinary differential equations (ODE) with the degenerating matrix before the high...
Abstract: In the case y0=z0=0 the system of 6 autonomous ordinary differential equations o...
Here, we considerably develop the methods of power geometry for a system of partial differential equ...
We show that a certain type of representation of ordinary differential equations can be used togethe...
The system of ordinary differential equations with degree nonlinearities is considered. Systems of s...
A method of solution has been developed for systems of linear, rst order, ordinary dierential equat...
Abstract: We consider a system of ordinary differential equations of very general form. We...
Abstract: In a neighborhood of a stationary point we consider the n-dimensional autonomous...
Abstract: Here we present a way of computation of asymptotic expansions of solutions to al...
We study local integrability of a plane autonomous polynomial system of ODEs depending on five param...
In this paper a study on constructive construction of the generalized normal forms (GNF) is continu...
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...
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary d...
We study integrability of an autonomous planar polynomial system of ODEs with a degenerate singular ...
Linear systems of ordinary differential equations (ODE) with the degenerating matrix before the high...
Abstract: In the case y0=z0=0 the system of 6 autonomous ordinary differential equations o...
Here, we considerably develop the methods of power geometry for a system of partial differential equ...
We show that a certain type of representation of ordinary differential equations can be used togethe...
The system of ordinary differential equations with degree nonlinearities is considered. Systems of s...
A method of solution has been developed for systems of linear, rst order, ordinary dierential equat...
Abstract: We consider a system of ordinary differential equations of very general form. We...
Abstract: In a neighborhood of a stationary point we consider the n-dimensional autonomous...
Abstract: Here we present a way of computation of asymptotic expansions of solutions to al...
We study local integrability of a plane autonomous polynomial system of ODEs depending on five param...
In this paper a study on constructive construction of the generalized normal forms (GNF) is continu...
DOI
Add to ORKG