245 citations · 321 across the 8 of their papers we have counts for
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nlin.CD2005★ 6 cited
Normal Forms for Symplectic Maps with Twist Singularities
H. R. Dullin, A. V. Ivanov, J. D. Meiss
We derive a normal form for a near-integrable, four-dimensional symplectic map with a fold or cusp singularity in its frequency mapping. The normal form is obtained for when the fr…
math-ph2005★ 3 cited
Maslov Indices and Monodromy
HR Dullin, JM Robbins, H Waalkens +2
We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix w…
math-ph2005★ 17 cited
Spectra of Sol-manifolds: arithmetic and quantum monodromy
A. V. Bolsinov, H. R. Dullin, A. P. Veselov
The spectral problem of three-dimensional manifolds M_A admitting Sol-geometry in Thurston's sense is investigated. Topologically M_A are torus bundles over a circle with a unimodu…