15 citations · 25 across the 2 of their papers we have counts for
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math.CA2019★ 10 cited
Periodic solutions of symmetric Hamiltonian systems
Daniel Strzelecki
This paper is devoted to the study of periodic solutions of Hamiltonian system , where is symmetric under an action of a compact Lie group. We are l…
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…
math.CA2016★ 15 cited
Symmetric Liapunov center theorem
Ernesto Pérez-Chavela, Sławomir Rybicki, Daniel Strzelecki
In this article, using an infinite-dimensional equivariant Conley index, we prove a generalization of the profitable Liapunov center theorem for symmetric potentials. Consider the…