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20092020
most citedClosed orbits of a charge in a weakly exact magnetic field

26 citations · 68 across the 8 of their papers we have counts for

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math.DS2009★ 26 cited

Closed orbits of a charge in a weakly exact magnetic field

Will J. Merry

We prove that for a weakly exact magnetic system on a closed connected Riemannian manifold, almost all energy levels contain a closed orbit. More precisely, we prove the following…

math.DS2009

Stability of Anosov Hamiltonian Structures

Will J. Merry, Gabriel P. Paternain

Consider the tangent bundle of a Riemannian manifold of dimension admitting a metric of negative curvature (not necessarily equal to ) endowed with a twisted sy…