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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 in the pres…
math.CA2006
Degenerate bifurcation points of periodic solutions of autonomous Hamiltonian systems
W. Radzki, S. Rybicki
We study connected branches of non-constant {-pe}riodic solutions of the Hamilton equation \begin{displaymath} \dot{x}(t)=λJ\nabla H(x(t)), \end{displaymath} where $λ\in\halfli…