10 citations · 12 across the 4 of their papers we have counts for
5 papers
Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators
Dinmukhammed Akpan, Andrei Oshemkov
In the paper, three-dimensional Nijenhuis operators are studied that have differential singularities, i.e., such points at which the coefficients of the characteristic polynomials…
Classification of saddle-focus singularities
I. K. Kozlov, A. A. Oshemkov
The paper presents an algorithm for topological classification of nondegenerate saddle-focus singularities of integrable Hamiltonian systems with three degrees of freedom up to sem…
Integrable systems with linear periodic integral for the Lie algebra
I. K. Kozlov, A. A. Oshemkov
Integrable systems with a linear periodic integral for the Lie algebra are considered. One investigates singulariries of the Liouville foliation, bifurcation diagra…
Structurally stable non-degenerate singularities of integrable systems
E. A. Kudryavtseva, A. A. Oshemkov
In this paper, we study singularities of the Lagrangian fibration given by a completely integrable system. We prove that a non-degenerate singular fibre satisfying the so-called co…
Explicit determination of certain periodic motions of a generalized two-field gyrostat
Pavel Ryabov, Sergei Sokolov, Irina Kharlamova
The case of motion of a generalized two-field gyrostat found by V.V.Sokolov and A.V.Tsiganov is known as a Liouville integrable Hamiltonian system with three degrees of freedom. We…