98 citations · 318 across the 23 of their papers we have counts for
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Geometry of quasiperiodic functions on the plane
I. A. Dynnikov, A. Ya. Maltsev, S. P. Novikov
The present article proposes a review of the most recent results obtained in the study of Novikov's problem on the description of the geometry of the level lines of quasi-periodic…
Features of the motion of ultracold atoms in quasiperiodic potentials
Ivan Dynnikov, Andrei Maltsev
We consider here quasiperiodic potentials on the plane, which can serve as a "transitional link" between ordered (periodic) and chaotic (random) potentials. As can be shown, in alm…
Geometry of the triangle equation on two-manifolds
I. A. Dynnikov, S. P. Novikov
A non-traditional approach to the discretization of differential-geometrical connections was suggested by the authors in 1997. At the same time we started studying first order diff…
Exactly solvable periodic Darboux q-chains
Ivan A. Dynnikov, Sergey V. Smirnov
A difference q-analogue of the dressing chain is discussed in this paper.
Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds
S. P. Novikov, I. A. Dynnikov
Euler-Darboux-Backlund and Laplace transformations are considered for the one- and two-dimensional Schrodinger operators. Their discrete analogs are constructed and generalized for…