Marta Kowalczyk

activity

20152021

most citedBifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N-body problem

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

collaborators

3 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 $q ¨ (t) = - \nabla U (q (t))$ in the pres…

math.CA2015★ 3 cited

Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N-body problem

Marta Kowalczyk

In this article we study topological bifurcations of critical orbits of equivariant gradient equations. We give necessary and sufficient conditions for the existence of global bifu…