Add to ORKGIn this paper we outline some methods of finding limit cycles for planar autonomous systems with small parameter perturbations. Three ways of studying Hopf bifurcations and the method of Melnikov functions in studying Poincare bifurcations are introduced briefly. A new method of stabilitychanging in studying homoclinic bifurcation is described along with some interesting applications to polynomial systems
This paper deals with the problem of location and existence of limit cycles for real planar polynomi...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
This letter describes a new computational method to obtain the bifurcation parameter value of a limi...
In this paper, we study limit cycle bifurcations for a kind of non-smooth polynomial differential sy...
AbstractWe investigate the maximal number of limit cycles which appear under perturbations in Hopf b...
AbstractThis paper concerns with limit cycles through Hopf and homoclinic bifurcations for near-Hami...
This paper concerns with limit cycles through Hopf and homoclinic bifurcations for near-Hamiltonian ...
AbstractIn this paper we study the number of limit cycles appearing in Hopf bifurcations of piecewis...
Abstract. This paper deals with the problem of location and exis-tence of limit cycles for real plan...
AbstractIn this work, we discuss the maximal number of limit cycles which appear under perturbations...
This paper is devoted to the analysis of bifurcations of limit cycles in planar polynomial near-Hami...
A technique is described which has been used extensively to investigate the bifurcation of limit cyc...
28 pages; 20 figuresInternational audienceThis paper deals with the problem of location and existenc...
We prove that star-like limit cycles of any planar polynomial system can also be seen either as solu...
This paper deals with the problem of location and existence of limit cycles for real planar polynomi...
This paper deals with the problem of location and existence of limit cycles for real planar polynomi...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
This letter describes a new computational method to obtain the bifurcation parameter value of a limi...
In this paper, we study limit cycle bifurcations for a kind of non-smooth polynomial differential sy...
AbstractWe investigate the maximal number of limit cycles which appear under perturbations in Hopf b...
AbstractThis paper concerns with limit cycles through Hopf and homoclinic bifurcations for near-Hami...
This paper concerns with limit cycles through Hopf and homoclinic bifurcations for near-Hamiltonian ...
AbstractIn this paper we study the number of limit cycles appearing in Hopf bifurcations of piecewis...
Abstract. This paper deals with the problem of location and exis-tence of limit cycles for real plan...
AbstractIn this work, we discuss the maximal number of limit cycles which appear under perturbations...
This paper is devoted to the analysis of bifurcations of limit cycles in planar polynomial near-Hami...
A technique is described which has been used extensively to investigate the bifurcation of limit cyc...
28 pages; 20 figuresInternational audienceThis paper deals with the problem of location and existenc...
We prove that star-like limit cycles of any planar polynomial system can also be seen either as solu...
This paper deals with the problem of location and existence of limit cycles for real planar polynomi...
This paper deals with the problem of location and existence of limit cycles for real planar polynomi...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
This letter describes a new computational method to obtain the bifurcation parameter value of a limi...