most citedPeriodic orbits close to elliptic tori and applications to the three-body problem

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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…

math.DS2002

Optimal stability and instability results for a class of nearly integrable Hamiltonian systems

Massimiliano Berti, Luca Biasco, Philippe Bolle

We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigonometric polynomial) -perturbation which does not preserve the unperturbed…