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Recent Advances in the Study of the Existence of Periodic Orbits of Hamiltonian Systems

Antonio Ambrosetti

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Abstract

In this paper we shall discuss some recent advances in the study of Hamiltonian systems. In view of other expositions in these Proceedings, we shall limit ourselves to considering the existence of periodic solutions on a prescribed energy surface.

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In this paper we shall discuss some recent advances in the study of Hamiltonian systems. In view of other expositions in these Proceedings, we shall limit ourselves to considering the existence of periodic solutions on a prescribed energy surface.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper we shall discuss some recent advances in the study of Hamiltonian systems. In view of other expositions in these Proceedings, we shall limit ourselves to considering the existence of periodic solutions on a prescribed energy surface.

Key concepts: Periodic orbits, Hamiltonian system, Hamiltonian (control theory), Limit (mathematics), Physics, Theoretical physics, Classical mechanics, Mathematics

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