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math.DG2025★ 1 cited
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…
math.DG2023★ 1 cited
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…
math.DG2023
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…