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

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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…