The paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori and invariant manifolds of periodic orbits) in order to analyze the Hamiltonian direct Hopf bifurcation that takes place close to the Lyapunov vertical family of periodic orbits of the triangular equilibrium point L4 in the 3D restricted three-body problem (RTBP) for the mass parameter, µ, greater than (and close to) µR (Routh’s mass parameter). Consequences of such bifurcation, concerning the confinement of the motion close to the hyperbolic orbits and the 3D nearby tori are also described
Nonlinear approximation of periodic motions around the collinear equilibrium points in the case of t...
In this work we consider a 1:-1 non semi-simple resonant periodic orbit of a three-degrees of freedo...
This paper deals with the analysis of Hamiltonian Hopf as well as saddle-center bifurcations in 4-DO...
The paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori...
The Hopf-like bifurcation associated with the transition from stability to complex instability of...
We are interested in studying the motion in a (big) neighborhood of the collinear equilibrium point ...
The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among othe...
The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among othe...
In this work we consider a 1:-1 non semi-simple resonant periodic orbit of a three-degrees of freedo...
In an autonomous Hamiltonian system with three or more degrees of freedom, a family of periodic orbi...
email ollema upces joanrvilmaupces jordivilmaupces We consider the spatial restricted three body p...
This paper uses Hamiltonian methods to find and determine the stability of some new solution branche...
This paper is devoted to the bifurcation of periodic orbits and libration points in the linked restr...
In this paper we give a numerical description of the neighbourhood of a fixed point of a symplectic ...
We consider the spatial restricted three body problem (RTBP) for values of the mass parameter close ...
Nonlinear approximation of periodic motions around the collinear equilibrium points in the case of t...
In this work we consider a 1:-1 non semi-simple resonant periodic orbit of a three-degrees of freedo...
This paper deals with the analysis of Hamiltonian Hopf as well as saddle-center bifurcations in 4-DO...
The paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori...
The Hopf-like bifurcation associated with the transition from stability to complex instability of...
We are interested in studying the motion in a (big) neighborhood of the collinear equilibrium point ...
The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among othe...
The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among othe...
In this work we consider a 1:-1 non semi-simple resonant periodic orbit of a three-degrees of freedo...
In an autonomous Hamiltonian system with three or more degrees of freedom, a family of periodic orbi...
email ollema upces joanrvilmaupces jordivilmaupces We consider the spatial restricted three body p...
This paper uses Hamiltonian methods to find and determine the stability of some new solution branche...
This paper is devoted to the bifurcation of periodic orbits and libration points in the linked restr...
In this paper we give a numerical description of the neighbourhood of a fixed point of a symplectic ...
We consider the spatial restricted three body problem (RTBP) for values of the mass parameter close ...
Nonlinear approximation of periodic motions around the collinear equilibrium points in the case of t...
In this work we consider a 1:-1 non semi-simple resonant periodic orbit of a three-degrees of freedo...
This paper deals with the analysis of Hamiltonian Hopf as well as saddle-center bifurcations in 4-DO...