Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert

R. Giambò, F. Giannoni, P. Piccione

In this paper we prove the existence of real-analytic natural Hamiltonian systems - i.e. where H(q,p)=T(q,p)+V(q) in the 2N-dimensional real space, where N is any integer greater t…