Add to ORKGThe paper is devoted to the study of a type of differential systems which appear usually in the study of some Hamiltonian systems with 2 degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. All these periodic orbits pass near the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collinear 3-body problem
Abstract. The dynamics occurring near a heteroclinic cycle between a hyperbolic equilibrium and a hy...
This paper is devoted to the numerical computation and continuation of families of heteroclinic conn...
Heteroclinic cycles involving two saddle-foci, where the saddle-foci share both invariant manifolds,...
The paper is devoted to the study of a type of differential systems which appear usually in the stud...
In this paper we consider vector fields in R3 that are invariant under a suitable symmetry and that...
The version of record is available online at: http://dx.doi.org/10.1007/s00332-021-09721-5In a gener...
In this paper, we consider C1 vector fields X in R3 having a "generalized heteroclinic loop" L which...
In this paper we consider C1 vector fields X in R3 having a “generalized heteroclinic loop” L which...
AbstractThis paper presents a geometric analysis of bifurcations leading to chaos for Hamiltonian sy...
AbstractConnecting orbits of nonlinear differential equations have long been studied in the dynamica...
This is a post-peer-review, pre-copyedit version of an article published in Journal of Dynamics and ...
We show how to apply to Hamiltonian differential systems recent results for studying the periodic or...
The frozen-planet periodic orbit of the classical collinear Helium model with negative energy is sho...
We consider autonomous Newtonian systems with Coriolis forces in two and three dimensions and study...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)In this paper, we consider C-1 vector f...
Abstract. The dynamics occurring near a heteroclinic cycle between a hyperbolic equilibrium and a hy...
This paper is devoted to the numerical computation and continuation of families of heteroclinic conn...
Heteroclinic cycles involving two saddle-foci, where the saddle-foci share both invariant manifolds,...
The paper is devoted to the study of a type of differential systems which appear usually in the stud...
In this paper we consider vector fields in R3 that are invariant under a suitable symmetry and that...
The version of record is available online at: http://dx.doi.org/10.1007/s00332-021-09721-5In a gener...
In this paper, we consider C1 vector fields X in R3 having a "generalized heteroclinic loop" L which...
In this paper we consider C1 vector fields X in R3 having a “generalized heteroclinic loop” L which...
AbstractThis paper presents a geometric analysis of bifurcations leading to chaos for Hamiltonian sy...
AbstractConnecting orbits of nonlinear differential equations have long been studied in the dynamica...
This is a post-peer-review, pre-copyedit version of an article published in Journal of Dynamics and ...
We show how to apply to Hamiltonian differential systems recent results for studying the periodic or...
The frozen-planet periodic orbit of the classical collinear Helium model with negative energy is sho...
We consider autonomous Newtonian systems with Coriolis forces in two and three dimensions and study...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)In this paper, we consider C-1 vector f...
Abstract. The dynamics occurring near a heteroclinic cycle between a hyperbolic equilibrium and a hy...
This paper is devoted to the numerical computation and continuation of families of heteroclinic conn...
Heteroclinic cycles involving two saddle-foci, where the saddle-foci share both invariant manifolds,...