4 citations · 4 across the 2 of their papers we have counts for
3 papers
math-ph2013★ 4 cited
A simple global representation for second-order normal forms of Hamiltonian systems relative to periodic flows
M. Avendaño-Camacho, J. A. Vallejo, Yu. Vorobjev
We study the determination of the second-order normal form for perturbed Hamiltonians , relative to the periodic flow of the unperturbed Hamiltoni…
math.SG2005
Poisson Equivalence over a Symplectic Leaf
Yurii Vorobjev
We study the equivalence of Poisson structures around a given symplectic leaf of nonzero dimension. Some criteria of Poisson equivalence are derived from a homotopy argument for co…
math.SG2000
Coupling Tensors and Poisson Geometry Near a Single Symplectic Leaf
Yurii Vorobjev
In the framework of the connection theory, a contravariant analog of the Sternberg coupling procedure is developed for studying a natural class of Poisson structures on fiber bundl…