29 citations · 231 across the 24 of their papers we have counts for
24 papers
Symplectic classification for universal unfoldings of singularities in integrable systems
Elena A. Kudryavtseva
In the present paper, we obtain real-analytic symplectic normal forms for integrable Hamiltonian systems with degrees of freedom near singular points having the type ``universa…
Bifurcations of magnetic geodesic flows on surfaces of revolution
Ivan F. Kobtsev, Elena A. Kudryavtseva
We study magnetic geodesic flows invariant under rotations on the 2-sphere. The dynamical system is given by a generic pair of functions in one variable. Topology of the Li…
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…
symplectic invariants of parabolic orbits and flaps in integrable Hamiltonian systems
Elena Kudryavtseva, Nikolay Martynchuk
In the present paper, we consider a smooth symplectic classification of Lagrangian fibrations near cusp singularities, parabolic orbits and cuspidal tori. We show that f…
Existence of a smooth Hamiltonian circle action near parabolic orbits
Elena Kudryavtseva, Nikolay Martynchuk
We show that every parabolic orbit of a two-degree of freedom integrable system admits a -smooth Hamiltonian circle action, which is persistent under small integrable $C^…
Topology of spaces of smooth functions and gradient-like flows with prescribed singularities on surfaces
Elena A. Kudryavtseva
By a gradient-like flow on a closed orientable surface , we mean a closed 1-form defined on punctured at a finite set of points (sources and sinks of ) such that ther…