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math.DS2003
A Birkhoff--Lewis Type Theorem for Some Hamiltonian Pdes
Dario Bambusi, Massimiliano Berti
In this paper we give an extension of the Birkhoff--Lewis theorem to some semilinear PDEs. Accordingly we prove existence of infinitely many periodic orbits with large period accum…
math.DS2003★ 1 cited
Periodic orbits close to elliptic tori and applications to the three-body problem
Massimiliano Berti, Luca Biasco, Enrico Valdinoci
We prove, under suitable non-resonance and non-degeneracy ``twist'' conditions, a Birkhoff-Lewis type result showing the existence of infinitely many periodic solutions, with large…