The bifurcation problem of singular cycles of vector fields, which has some relation with the study of the Lorenz equations, is examined. It is observed by computer simulation that some heteroclinic cycle structures cause a transition to turbulence. An analysis of this observation is conducted and the results obtained are presented.EI03313-3252
The effect of small forced symmetry breaking on the dynamics near a structurally stable heteroclinic...
We perform a bifurcation analysis of an orbit homoclinic to a hyperbolic saddle of a vector field in...
We study dynamics and bifurcations of three-dimensional diffeomorphisms with nontransversal heterocl...
AbstractWe study the unfolding of heteroclinic cycles of vector fields in Rn, that possess a hyperbo...
In this paper we study the local codimension one and two bifurcations which occur in a family of thr...
In this paper we study the bifurcations of a pair of nonorientable heteroclinic cycles. In addition ...
AbstractWe study the unfolding of heteroclinic cycles of vector fields in Rn, that possess a hyperbo...
In this paper we consider the interaction of the Lorenz manifold - the two-dimensional stable manifo...
We consider a system of differential equations proposed by Busse et al (1992 Physica D 61 94-105) to...
An overview of homoclinic and heteroclinic bifurcation theory for autonomous vector fields is given....
We study bifurcations from a singular heteroclinic cycle in R³. This heteroclinic cycle con...
In this paper we consider the interaction of the Lorenz manifold - the two-dimensional stable manifo...
In this paper, bifurcations of limit cycles close to certain singularities of the vector fields are ...
This paper reports a new bifurcation pattern observed in a Lorenz-type system. The pattern is compos...
We explore the multifractal, self-similar organization of heteroclinic and homoclinic bifurcations o...
The effect of small forced symmetry breaking on the dynamics near a structurally stable heteroclinic...
We perform a bifurcation analysis of an orbit homoclinic to a hyperbolic saddle of a vector field in...
We study dynamics and bifurcations of three-dimensional diffeomorphisms with nontransversal heterocl...
AbstractWe study the unfolding of heteroclinic cycles of vector fields in Rn, that possess a hyperbo...
In this paper we study the local codimension one and two bifurcations which occur in a family of thr...
In this paper we study the bifurcations of a pair of nonorientable heteroclinic cycles. In addition ...
AbstractWe study the unfolding of heteroclinic cycles of vector fields in Rn, that possess a hyperbo...
In this paper we consider the interaction of the Lorenz manifold - the two-dimensional stable manifo...
We consider a system of differential equations proposed by Busse et al (1992 Physica D 61 94-105) to...
An overview of homoclinic and heteroclinic bifurcation theory for autonomous vector fields is given....
We study bifurcations from a singular heteroclinic cycle in R³. This heteroclinic cycle con...
In this paper we consider the interaction of the Lorenz manifold - the two-dimensional stable manifo...
In this paper, bifurcations of limit cycles close to certain singularities of the vector fields are ...
This paper reports a new bifurcation pattern observed in a Lorenz-type system. The pattern is compos...
We explore the multifractal, self-similar organization of heteroclinic and homoclinic bifurcations o...
The effect of small forced symmetry breaking on the dynamics near a structurally stable heteroclinic...
We perform a bifurcation analysis of an orbit homoclinic to a hyperbolic saddle of a vector field in...
We study dynamics and bifurcations of three-dimensional diffeomorphisms with nontransversal heterocl...
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