29 citations · 231 across the 24 of their papers we have counts for
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math.SG2020★ 19 cited
Hidden toric symmetry and structural stability of singularities in integrable systems
Elena A. Kudryavtseva
The goal of the paper is to develop a systematic approach to the study of (perhaps degenerate) singularities of integrable systems and their structural stability. As the main tool,…
math.DS2020
Superintegrable Bertrand magnetic geodesic flows
Elena A. Kudryavtseva, Sergey A. Podlipaev
The problem of description of superintegrable systems (i.e., systems with closed trajectories in a certain domain) in the class of rotationally symmetric natural mechanical systems…