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20082026
most citedInfinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level

33 citations · 215 across the 34 of their papers we have counts for

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Showing 2017 · math.DSShow all

2 papers · 2 filters

math.DS2017★ 2 cited

Minimal boundaries in Tonelli Lagrangian systems

Luca Asselle, Gabriele Benedetti, Marco Mazzucchelli

We prove several new results concerning action minimizing periodic orbits of Tonelli Lagrangian systems on an oriented closed surface . More specifically, we show that for every…

math.DS2017★ 1 cited

Infinitely many periodic orbits just above the Mañé critical value on the 2-sphere

Gabriele Benedetti, Marco Mazzucchelli

We introduce a new critical value for Tonelli Lagrangians on the tangent bundle of the 2-sphere without minimizing measures supported on a point. We show that $c_…