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20082022
most citedClassification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2

30 citations · 38 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.CA2022★ 1 cited

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…

math.CA2018

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…

math.CA2017

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…