26 citations · 61 across the 24 of their papers we have counts for
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math.DS2014
On the use of blow up to study regularizations of singularities of piecewise smooth dynamical systems in
K. Uldall Kristiansen, S. J. Hogan
In this paper we use the blow up method of Dumortier and Roussarie \cite{dumortier_1991,dumortier_1993,dumortier_1996}, in the formulation due to Krupa and Szmolyan \cite{krupa_ext…
math.DS2014
Computation of saddle type slow manifolds using iterative methods
Kristian Uldall Kristiansen
This paper presents an alternative approach for the computation of trajectory segments on slow manifolds of saddle type. This approach is based on iterative methods rather than col…
math.DS2014
Periodic orbits near a bifurcating slow manifold
Kristian Uldall Kristiansen
This paper studies a class of -degree-of-freedom Hamiltonian systems with a slowly varying phase that unfolds a Hamiltonian pitchfork bifurcation. The main result of the…