Dynamic systems, containing a contour, composed from two saddle states of equilibrium and two structural-instable heteroclinical trajectories, are considered in the paper aiming at the behaviour investigation of the disturbed system trajectories, which are contained in the contour vicinity. As a result classes of systems, bifurcations of which are described by a two-parametrical family, have been indicated. Complete bifurcation diagrams have been constructedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
<p>(a) The oscillatory regions of the two systems. (b) The bifurcation diagrams of the first model. ...
For the processes described by dynamical systems, closed trajectories of dynamical systems are in li...
Many dynamical systems depend on parameters. One may expect that small variations of the parameters ...
Smooth planar vector fields containing two hyperbolic saddles may possess contours formed by heteroc...
We continue the study of the structural stability and the bifurcations of planar bimodal linear dyna...
We complete the study of the bifurcations of saddle/spiral bimodal linear systems, depending on the ...
<p>Regions with different dynamical regimes are shown in the parametric plane . Black curves indicat...
The aim of the paper is to give an overview of bifurcation phenomena which are typical for non-smoot...
The aim is to analyse the basic local and spatial-distributed wave dynamic conditions of the populat...
The aim of the paper is to give an overview of bifurcation phenomena which are typical for non-smoot...
Smooth planar vector fields containing two hyperbolic saddles may possess contours formed by heteroc...
The article is devoted to the parametrical analysis of periodic and chaotic oscillations in the nonl...
<p>(a) The bifurcation diagrams with and as control parameters. (b) The bifurcation diagrams with ...
The homoclinic bifurcation properties of a planar dynamical system are analyzed and the correspondin...
AbstractBifurcations of both two-dimensional diffeomorphisms with a homoclinic tangency and three-di...
<p>(a) The oscillatory regions of the two systems. (b) The bifurcation diagrams of the first model. ...
For the processes described by dynamical systems, closed trajectories of dynamical systems are in li...
Many dynamical systems depend on parameters. One may expect that small variations of the parameters ...
Smooth planar vector fields containing two hyperbolic saddles may possess contours formed by heteroc...
We continue the study of the structural stability and the bifurcations of planar bimodal linear dyna...
We complete the study of the bifurcations of saddle/spiral bimodal linear systems, depending on the ...
<p>Regions with different dynamical regimes are shown in the parametric plane . Black curves indicat...
The aim of the paper is to give an overview of bifurcation phenomena which are typical for non-smoot...
The aim is to analyse the basic local and spatial-distributed wave dynamic conditions of the populat...
The aim of the paper is to give an overview of bifurcation phenomena which are typical for non-smoot...
Smooth planar vector fields containing two hyperbolic saddles may possess contours formed by heteroc...
The article is devoted to the parametrical analysis of periodic and chaotic oscillations in the nonl...
<p>(a) The bifurcation diagrams with and as control parameters. (b) The bifurcation diagrams with ...
The homoclinic bifurcation properties of a planar dynamical system are analyzed and the correspondin...
AbstractBifurcations of both two-dimensional diffeomorphisms with a homoclinic tangency and three-di...
<p>(a) The oscillatory regions of the two systems. (b) The bifurcation diagrams of the first model. ...
For the processes described by dynamical systems, closed trajectories of dynamical systems are in li...
Many dynamical systems depend on parameters. One may expect that small variations of the parameters ...