Beyn W-J. The numerical computation of connecting orbits in dynamical systems. IMA Journal of Numerical Analysis. 1990;10(3):379-405.Structural changes in dynamical systems are often related to the appearance or disappearance of orbits connecting two stationary points (either heteroclinic or homoclinic). Homoclinic orbits typically arise in one-parameter problems when on a branch of periodic solutions the periods tend to infinity (e.g. Guckenheimer & Holmes, 1983). We develop a direct numerical method for the computation of connecting orbits and their associated parameter values. We employ a general phase condition and truncate the boundary-value problem to a finite interval by using on both ends the technique of asymptotic boundary conditi...
A heteroclinic orbit is generally a trajectory which connects one saddle point to another saddle poi...
Beyn W-J. On well-posed problems for connecting orbits in dynamical systems. In: Kloeden PE, Palmer ...
We present a numerical method to locate periodic orbits near homoclinic orbits. Using a method of [X...
Dynamical systems occur in many areas of science, especially fluid dynamics. One is often interested...
AbstractWe give a numerical method for the computation of heteroclinic orbits connecting two saddle ...
Zou YK, Beyn W-J. On manifolds of connecting orbits in discretizations of dynamical systems. Nonline...
It is shown that one-step methods, when applied to a one-parametric dynamical system with a homoclin...
Pampel T. Approximation of generalized connecting orbits with asymptotic rate. Diskussionspapier - F...
Dynamical systems occur in many areas of science, especially fluid dynamics. One is often intereste...
A successive continuation method for locating connecting orbits in parametrized systems of autonomou...
Beyn W-J, Hüls T, Kleinkauf JM, Zou Y. Numerical analysis of degenerate connecting orbits for maps. ...
In this paper, a numerical method is presented for proving the existence and inclusion of connecting...
This paper is devoted to the numerical computation and continuation of families of heteroclinic conn...
AbstractWe give a numerical method for the computation of heteroclinic orbits connecting two saddle ...
In this paper we propose a rigorous numerical technique for the computation of symmetric connecting ...
A heteroclinic orbit is generally a trajectory which connects one saddle point to another saddle poi...
Beyn W-J. On well-posed problems for connecting orbits in dynamical systems. In: Kloeden PE, Palmer ...
We present a numerical method to locate periodic orbits near homoclinic orbits. Using a method of [X...
Dynamical systems occur in many areas of science, especially fluid dynamics. One is often interested...
AbstractWe give a numerical method for the computation of heteroclinic orbits connecting two saddle ...
Zou YK, Beyn W-J. On manifolds of connecting orbits in discretizations of dynamical systems. Nonline...
It is shown that one-step methods, when applied to a one-parametric dynamical system with a homoclin...
Pampel T. Approximation of generalized connecting orbits with asymptotic rate. Diskussionspapier - F...
Dynamical systems occur in many areas of science, especially fluid dynamics. One is often intereste...
A successive continuation method for locating connecting orbits in parametrized systems of autonomou...
Beyn W-J, Hüls T, Kleinkauf JM, Zou Y. Numerical analysis of degenerate connecting orbits for maps. ...
In this paper, a numerical method is presented for proving the existence and inclusion of connecting...
This paper is devoted to the numerical computation and continuation of families of heteroclinic conn...
AbstractWe give a numerical method for the computation of heteroclinic orbits connecting two saddle ...
In this paper we propose a rigorous numerical technique for the computation of symmetric connecting ...
A heteroclinic orbit is generally a trajectory which connects one saddle point to another saddle poi...
Beyn W-J. On well-posed problems for connecting orbits in dynamical systems. In: Kloeden PE, Palmer ...
We present a numerical method to locate periodic orbits near homoclinic orbits. Using a method of [X...