In this paper, we investigate the stability of equilibrium points for the planar restricted
equilateral four-body problem in the case that one particle of negligible mass is moving …

We prove the existence of chaotic motions in an equilateral planar circular restricted four
body problem (CRFBP), establishing that the system is not integrable. The proof works by …

In this paper we study the 3D symmetric periodic orbits of the circular restricted four-body
problem, through their bifurcation from plane orbits. To this end, we calculate the special …

In this work, we revisit the planar restricted four-body problem to study the dynamics of an
infinitesimal mass under the gravitational force produced by three heavy bodies with …

We study a special variant of the noise-induced transition between spiking and bursting
regimes associated with the blue sky catastrophe bifurcation in the Hindmarsh-Rose neuron …

We consider a restricted four-body problem on the dynamics of a massless particle under
the gravitational force produced by three mass points forming an equilateral triangle …

In this paper we consider a restricted equilateral four-body problem where a particle of
negligible mass is moving under the Newtonian gravitational attraction of three masses …

We consider the planar circular equilateral restricted four body-problem where a test particle
of infinitesimal mass is moving under the gravitational attraction of three primary bodies …

We describe a method for computing an atlas for the stable or unstable manifold attached to
an equilibrium point and implement the method for the saddle-focus libration points of the …

We develop constructive, computer assisted arguments for proving the existence of
transverse homoclinic connections for hyperbolic periodic orbits in Hamiltonian systems …