30 citations · 38 across the 6 of their papers we have counts for
9 papers
Equal masses Eulerian relative equilibria on a rotating meridian of S^2
Toshiaki Fujiwara, Ernesto Pérez-Chavela
Relative equilibria on a rotating meridian on in equal-mass three-body problem under the cotangent potential are determined. We show the existence of scalene and iso…
Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces
Anna Gołȩbiewska, Ernesto Pérez-Chavela, Sławomir Rybicki +1
We consider autonomous Newtonian systems with Coriolis forces in two and three dimensions and study the existence of branches of periodic orbits emanating from equilibria. We inves…
Continuation of relative equilibria in the --body problem to spaces of constant curvature
Abimael Bengochea, Carlos García-Azpeitia, Ernesto Pérez-Chavela +1
We prove that all non-degenerate relative equilibria of the planar Newtonian --body problem can be continued to spaces of constant curvature , positive or negative, for small…
Regularization of the restricted -body problem on curved spaces
Ernesto Pérez-Chavela, Juan Manuel Sánchez-Cerritos
We consider bodies moving under their mutual gravitational attraction in spaces with constant Gaussian curvature . In this system, primary bodies with equal masses f…
Symmetric Liapunov center theorem for orbit with nontrivial isotropy group
Marta Kowalczyk, Ernesto Pérez-Chavela, Sławomir Rybicki
In this article we prove two versions of the Liapunov center theorem for symmetric potentials. We consider a~second order autonomous system in the pres…
Symmetric Liapunov center theorem for minimal orbit
Ernesto Pérez-Chavela, Sławomir Rybicki, Daniel Strzelecki
Using the techniques of equivariant bifurcation theory we prove the existence of non-stationary periodic solutions of -symmetric systems in any neig…
Stability interchanges in a curved Sitnikov problem
Luis Franco-Pérez, Marian Gidea, Mark Levi +1
We consider a curved Sitnikov problem, in which an infinitesimal particle moves on a circle under the gravitational influence of two equal masses in Keplerian motion within a plane…
Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
Luis C. García-Naranjo, Juan C. Marrero, Ernesto Pérez-Chavela +1
We classify and analyze the stability of all relative equilibria for the two-body problem in the hyperbolic space of dimension 2 and we formulate our results in terms of the intrin…
On polygonal relative equilibria in the N-vortex problem
Martin Celli, Ernesto A. Lacomba, Ernesto Pérez-Chavela
Helmholtz's equations provide the motion of a system of N vortices which describes a planar incompressible fluid with zero viscosity. A relative equilibrium is a particular solutio…