20 citations · 39 across the 4 of their papers we have counts for
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math.DS2008★ 7 cited
Asymptotic series for the splitting of separatrices near a Hamiltonian bifurcation
Vassili Gelfreich, Niklas Brannstrom
This is a proof of an asymptotic formula which describes exponentially small splitting of separatrices in a generic analytic family of area-preserving maps near a Hamiltonian saddl…
math.DS2007★ 12 cited
Drift of slow variables in slow-fast Hamiltonian systems
N. Brännström, V. Gelfreich
We study the drift of slow variables in a slow-fast Hamiltonian system with several fast and slow degrees of freedom. For any periodic trajectory of the fast subsystem with the fro…