2 papers
math.DS2021
Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria
Anna Gołębiewska, Marta Kowalczyk, Sławomir Rybicki +1
The aim of this paper is to prove the existence of periodic solutions to symmetric Newtonian systems in any neighborhood of an isolated orbit of equilibria. Applying equivariant bi…
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…