26 citations · 61 across the 24 of their papers we have counts for
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math.DS2012
An iterative method for the approximation of fibers in slow-fast systems
Kristian Uldall Kristiansen, Morten Brøns, Jens Starke
In this paper we extend a method for iteratively improving slow manifolds so that it also can be used to approximate the fiber directions. The extended method is applied to general…
math.DS2012★ 4 cited
Exponential estimates of symplectic slow manifolds
Kristian Uldall Kristiansen, Claudia Wulff
In this paper we prove the existence of an almost invariant symplectic slow manifold for analytic Hamiltonian slow-fast systems with finitely many slow degrees of freedom for which…