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تسجيل مستخدم جديدExistence of noncontractible periodic orbits of Hamiltonian system separating two Lagrangian tori on $T^*T^n$ with application to non convex Hamiltonian systems
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Jinxin Xue
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In this paper, we show the existence of non contractible periodic orbits in Hamiltonian systems defined on $T^*T^n$ separating two Lagrangian tori under certain cone assumption. Our result answers a question of Polterovich in cite{P} in a sharp way. As an application, we find periodic orbits of almost all the homotopy types on a dense set of energy level in Lorentzian type mechanical Hamiltonian systems defined on $T^*T^2$. This solves a problem of Arnold in cite{A}.
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