Ernesto Pérez-Chavela

activity

20162024

most citedOn the non-existence of hyperbolic polygonal relative equilibria for the negative curved

n

--body problem with equal masses

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2024

Periodic orbits near collision in a restricted four-body problem for the eight choreography

Abimael Bengochea, Jaime Burgos-García, Ernesto Pérez-Chavela

We study orbits near collision in a non-autonomous restricted planar four-body problem. This restricted problem consists of a massless particle moving under the gravitational influ…

math.CA2023

A new method to study relative equilibria on $S^{2}$

Toshiaki Fujiwara, Ernesto Pérez-Chavela

We develop a new geometrical technique to study relative equilibria for a system of $n$ --positive masses, moving on the two dimensional sphere $S^{2}$ , under the influence o…

math.DS2016★ 4 cited

On the non-existence of hyperbolic polygonal relative equilibria for the negative curved $n$ --body problem with equal masses

Ernesto Perez-Chavela, Juan Manuel Sanchez-Cerritos

We consider the $n$ --body problem defined on surfaces of constant negative curvature. For the case of $n$ --equal masses we prove that the hyperbolic relative equilibria with a regu…

Periodic orbits near collision in a restricted four-body problem for the eight choreography

A new method to study relative equilibria on S2

On the non-existence of hyperbolic polygonal relative equilibria for the negative curved n--body problem with equal masses

A new method to study relative equilibria on $S^{2}$

On the non-existence of hyperbolic polygonal relative equilibria for the negative curved $n$ --body problem with equal masses