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 $\Gamma$-symmetric systems $\ddot{q}(t)=-\nabla U(q(t))$ in any neig…