Periodic orbits with prescribed abbreviated action

Paternain, Miguel

doi:10.1090/S0002-9939-2015-12597-X

Periodic orbits with prescribed abbreviated action
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by Miguel Paternain PDF

Proc. Amer. Math. Soc. 143 (2015), 4001-4008 Request permission

Abstract:

We show that for every convex Lagrangian quadratic at infinity there is a real number $w_0$ such that for every $w>w_0$ the Lagrangian has a periodic orbit with abbreviated action $w$.

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