23 citations · 25 across the 5 of their papers we have counts for
5 papers
A quasi-energy function for Pixton diffeomorphisms defined by generalized Mazur knots
Timur Medvedev, Olga Pochinka
In this paper we give a lower estimate for the number of critical points of the Lyapunov function for Pixton diffeomorphisms (i.e. Morse-Smale diffeomorphisms in dimension 3 whose…
On existence of a Morse energy function for topological flows with finite chain recurrent sets
Timur V. Medvedev, Olga V. Pochinka, Svetlana Kh. Zinina
We prove the existence of a continuous Morse energy function for an arbitrary topological flow with finite hyperbolic (in topological sense) chain recurrent set on a topological ma…
On embedding of arcs and circles in 3-manifolds in an application to dynamics of rough 3-diffeomorhisms with two-dimensional expanding attractor
Viacheslav Z. Grines, Evgeny V. Kruglov, Timur V. Medvedev +1
A topological classification of many classes of dynamical systems with regular dynamics in low dimensions is often reduced to combinatorial invariants. In dimension 3 combinatorial…
The wild Fox-Artin arc in invariant sets of dynamical systems
T. Medvedev, O. Pochinka
The modern qualitative theory of dynamical systems is thoroughly intertwined with the fairly young science of topology. Strange and even bizarre constructions of topology are found…
On heteroclinic separators of magnetic fields in electrically conducting fluids
V. Grines, T. Medvedev, O. Pochinka +1
In this paper we partly solve the problem of existence of separators of a magnetic field in plasma. We single out in plasma a 3-body with a boundary in which the movement of plasma…