Add to ORKGWe present conditions for the origin to be a centre for a class of cubic systems. Some of the centre conditions are determined by finding complicated invariant functions. We also investigate the coexistence of fine foci and the simultaneous bifurcation of limit cycles from them
AbstractWe consider planar cubic systems with a unique rest point of center-focus type and constant ...
The goal of this paper is double. First, we illustrate a method for studying the bifurcation of limi...
AbstractBifurcation of limit cycles from the class QNH3 of quadratic systems possessing centers is i...
We present conditions for the origin to be a centre for a class of cubic systems. Some of the centre...
AbstractWe show that for certain cubic Kolmogorov systems, four, and no more than four, limit cycles...
This paper investigates the number and distributions of limit cycles for the Kukles system, which al...
We carry out the global bifurcation analysis of the Kukles system representing a planar polynomial d...
We resolve the centre-focus problem for a specific class of cubic systems and determine the number o...
We study the limit cycles of two families of differential systems in the plane. These systems are ob...
ABSTRACT. In this paper, we study the local bifurcations of critical periods in the neighborhood of ...
This article is concerned with the bifurcation of limit cycles of a class of cubic reversible syste...
Using methods of computational algebra we obtain an upper bound for the cyclicity of a family of cub...
AbstractIn this paper, for a certain class of Kukles polynomial systems of arbitrary degree n with a...
We describe a method based on algorithms of computational algebra for obtaining an upper bound for t...
AbstractWe present necessary and sufficient conditions for a critical point of certain two-dimension...
AbstractWe consider planar cubic systems with a unique rest point of center-focus type and constant ...
The goal of this paper is double. First, we illustrate a method for studying the bifurcation of limi...
AbstractBifurcation of limit cycles from the class QNH3 of quadratic systems possessing centers is i...
We present conditions for the origin to be a centre for a class of cubic systems. Some of the centre...
AbstractWe show that for certain cubic Kolmogorov systems, four, and no more than four, limit cycles...
This paper investigates the number and distributions of limit cycles for the Kukles system, which al...
We carry out the global bifurcation analysis of the Kukles system representing a planar polynomial d...
We resolve the centre-focus problem for a specific class of cubic systems and determine the number o...
We study the limit cycles of two families of differential systems in the plane. These systems are ob...
ABSTRACT. In this paper, we study the local bifurcations of critical periods in the neighborhood of ...
This article is concerned with the bifurcation of limit cycles of a class of cubic reversible syste...
Using methods of computational algebra we obtain an upper bound for the cyclicity of a family of cub...
AbstractIn this paper, for a certain class of Kukles polynomial systems of arbitrary degree n with a...
We describe a method based on algorithms of computational algebra for obtaining an upper bound for t...
AbstractWe present necessary and sufficient conditions for a critical point of certain two-dimension...
AbstractWe consider planar cubic systems with a unique rest point of center-focus type and constant ...
The goal of this paper is double. First, we illustrate a method for studying the bifurcation of limi...
AbstractBifurcation of limit cycles from the class QNH3 of quadratic systems possessing centers is i...