Unique normal forms: The nilpotent Hamiltonian case

Unique Normal Forms for Nilpotent Planar Vector Fields

Coherence without Unique Normal Forms

Coherence theorems for covariant structures carried by a category have traditionally relied on the underlying term rewriting system of the structure being terminating and confluent. While this holds in a variety of cases, it is not a feature that is inherent to the coherence problem itself. This is demonstrated by the theory of iterated monoidal categories, which model iterated loop spaces and ...

Symmetry and integrability in Hamiltonian normal forms

Hamiltonian Normal Forms and Galactic Potentials

Normal forms of 3 degree of freedom Hamiltonian systems at equilibrium in the resonant case

An algorithm is given to compute a Stanley decomposition for the normal form of a three degree of freedom Hamiltonian at equilibrium in the semisimple resonant case. This algorithm is then applied to compute Stanley decompositions of the normal form of the first and second order resonances.