Programme
of the International Conference “Scientific Heritage of Sergey A. Chaplygin: nonholonomic mechanics, vortex structures and hydrodynamics”
June 2–6, 2019, Chuvash State University,
Cheboksary, Russia
June 2 (Sunday) 


Arrival and registration of participants, accommodation in hotels 
17.00 
Tour of the city 
June 3 (Monday) 

09.30–10.25 
Registration of participants (foyer of building A) 
10.30–10.50 
Opening ceremony: Welcoming address to participants

10.5011.20 
Alexey V. Borisov Sergey A. Chaplygin 
11.2011.30 
Taking a group photograph of participants (porch of building A) 
11.30–12.30 Lecture session 1. Chair: Sergey Sokolov 

11.3012.00 
Nikolay A. Kudryashov Traveling wave solutions of some mathematical models for description of propagation pulses in optical fibers 
12.0012.30 
Ivan S. Mamaev, Ivan A. Bizyaev and Alexey V. Borisov Dynamics of a Chaplygin sleigh with an unbalanced rotor 
12.30–13.30 
Lunch (University cafe) 
13.30–14.00 
Alexey V. Borisov, Alexander A. Kilin and Ivan S. Mamaev Motion of a Particle on the Surface of a Rotating Paraboloid in the Presence of Friction Forces 
14.00–14.30 
Alain Albouy Transformation of the equations of dynamics 
14.3015.00 
Luis GarcíaNaranjo The problem of general multidimensional rigid bodies rolling on the plane 
15.00–15.30 
Maria Przybylska and Stefan RauchWojciechowski Dynamics of rolling and sliding rigid bodies 
15.30–15.50 
Coffee break (canteen in building G) 
15.50–17.50 Lecture session 2. Chair: Andrei Shafarevich 

15.50–16.20 
Boris S. Bardin On orbital stability of periodic motions of a heavy rigid body with a fixed point in the Hess case 
16.20–16.50 
Sergei V. Sokolov Bifurcation Diagram For Two Vortices of Opposite Signs in Trapped Bose–Einstein Condensate 
16.50–17.20 
Pavel E. Ryabov and Artemiy A. Shadrin Bifurcation Diagram and its Visualization in the One Generalized Integrable Model of Vortex Dynamics 
17.20–17.40 
Alexander A. Kilin and Elena N. Pivovarova Topological Analysis and Absolute Dynamics of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges 
17.40–18.00 
Alexander Yu. Ivanitskiy, Fedor P. Vasilyev, Vladimir Ejov The residual method for solving illposed system of algebraic inequalities and linear programming problems with approximate data 
18.00–18.15 
Visit of a photographic exhibition (foyer of building G). 
June 4 (Tuesday) 

9.00–13.00 Lecture session 3. Chair: Nikolay Kudryashov 

9.00–9.30 
Leonid G. Kurakin, Irina V. Ostrovskaya On the stability of discrete vortex structures in twolayer rotating fluid and in homogeneous fluid 
9.30–10.00 
Borislav Gajic, Bozidar Jovanovic Connections and Time Reperametrizations in Nonholonomic Mechanics 
10.00–10.30 
Bozidar Jovanovic, Borislav Gajic Two integrable models of rolling balls over a sphere 
10.30–11.00 
Nikolai V. Kuznetsov, Timur Mokaev Theory of hidden oscillations 
11.00–11.20 
Coffee break 
11.20–11.50 
Victor V. Kuzenov and Sergei V. Ryzhkov Mathematical modeling of plasma dynamics for processes in capillary discharges 
11.50–12.20 
Vyacheslav P. Kruglov, Sergey P. Kuznetsov Dynamics of phases and chaos in lattices of locally coupled conservative or dissipative oscillators 
12.20–12.40 
Ivan Yu. Polekhin Precession of the Kovalevskaya and GoryachevChaplygin tops 
12.40–13.00 
Stanislav Nikolaienko Topological invariants for the ChaplyginGoryachev integrable case with noncompact Liouville foliations 
13.00–14.00 
Lunch (University cafe) 
14.00–18.00 Lecture session 4. Chair: Nikolai Kuznetsov 

14.00–14.20 
Alexander V. Sakharov Dynamics of a point in the axisymmetric potential of a massive fixed ring and center 
14.20–14.40 
Alexey V. Borisov, Tatiana B. Ivanova, Alexander A. Kilin, Ivan S. Mamaev Dynamics of a ball on a rotating cone 
14.40–15.00 
Alexey V. Borisov, Ivan S. Mamaev, Evgeny V. Vetchanin The motion of foils in a fluid due to periodical excitations 
15.00–15.20 
I. F. Kobtsev Chaplygin parabolic pendulum problem: Liouville equivalence invariants 
15.2015.40 
Coffee break (canteen in building G) 
15.40–16.00 
Anna I. Allilueva Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics 
16.0016.20 
Evgeniya A. Chekina, Boris S. Bardin The orbital stability analysis of planar rotations of a satellite in a circular orbit at the boundaries of a domain of stability in linear approximation 
16.20–16.40 
George Sukhov Bifurcation analysis of periodic motions originating from hyperboloidal precession of a dynamically symmetric satellite 
16.4017.00 
Evgeniy V. Vetchanin, Evgeniya A. Mikishanina The dynamics of rigid bodies with internal mechanisms 
17.00–18.00 Poster session 

18.00 
Excursion to the museum of the Chuvash State University 
June 5 (Wednesday) 

9.3019.30 
Excursion to the birthplace of Academician A.N. Krylov, the village of Krylovo, Poretskoye district, Chuvash Republic Departure from building A 
June 6 (Thursday) 

9.00–12.55 Lecture session 5. Chair: Borislav Gajic 

9.00–9.30 
Andrei I. Shafarevich Hamiltonian systems and Lagrangian manifolds, corresponding to linearized equations of relativistic hydrodynamics 
9.30–10.00 
Sergey V. Bolotin Jumps of energy near a separatrix in slowly time dependent Hamiltonian systems 
10.00–10.30 
Valery V. Kozlov To be announced 
10.30–11.00 
Ivan Kozlov About realization of JordanKronecker invariants of Lie algebras 
11.00–11.20 
Coffee break (canteen in building G) 
11.20–11.40 
Sergey P. Kuznetsov, Vyacheslav P. Kruglov, Yulia V. Sedova Mechanical systems with hyperbolic chaotic attractors based on Froude pendulums 
11.40–12.00 
Alexey Mashtakov SubRiemannian Geometry in Image Processing and Modelling of Human Visual System 
12.00–12.20 
R. Khusainov, S. Savin, S. Golousov Compliant Control for walking robots with the use of virtual springdamper system 
12.20–12.40 
Mikhail Kiselev Appearance of working memory mechanism in selforganizing liquid state machine 
12.40–13.00 
Stepan Troeshestov, Vladimir Aliev, Anton Mashikhin and Sergey Nikolenko AI Driving Olympics challenge: reinforcement learning approach solving line following task 
13.00–14.00 
Lunch (University cafe) 
14.00–16.30 Lecture session 6. Chair: Alexander Yu. Ivanitskiy 

14.0014.20 
G.A. Fedoreyev, A.Yu. Zhurenko, K.V. Gribov, D.V. Nazarov, CM. Krivel, E.A. Galushko Wig  transformer for effective logistics in far east and arctic 
14.2014.40 
Sergey P.Kuznetsov, Vladimir V.Mochalov, Vasiliy P.Chuev On Pauli‘s theorem in Clifford algebra(in Russian) 
14.40–15.00 
Alexander G. Terentyev, Nikolai A. Fedorov Numerical solution of the problem of flow around flexible arcs (in Russian) 
15.00–15.15 
Anastasia O. Kazakova Generalization of the JoukowskiChaplygin solution 
15.15–15.30 
Alexander A. Nazarov 
16.15–16.30 
Olga V. Vasiljeva, Sergey O. Ksenofontov, Alexander N. Lepaev Viscous medium of a burning particle (in Russian) 
16.30–16.45 
Darya A. Anufrieva, Victor S. Abrukov, Alexander N. Lukin, Charlie Oommen, V. R. Sanalkumar and Nichith Chandrasekaran Generalized multifactor computational models of the detonation of condensed and gas systems (in Russian) 
16.45–17.00 
Closing ceremony 
17.00–20.00 
Fellowship banquet 
^{*} The program of the conference may be changed due to unforeseen circumstances.
Poster presentations
L.G. Kurakin, I.A. Lysenko
On stability of orbit and invariant set of Thomson's vortex polygon in twofluid plasma
L.G. Kurakin, A.V. Kurdoglyan
Semiinvariant form of equilibrium stability criteria for systems with one or two cosymmetries
Ye. S. Hladkov, E. V. Vetchanin
Dynamics of toroidal bodies in a fluid
A. Rembovskaya
Symplectic classication of spherical 2atoms
E. M. Artemova, A. A. Kilin
Dynamics of vortex lattices
K.S. Efremov, A.A. Ardentov and Yu. L. Karavaev
Experimental studies of the movement of a mobile wheeled robot along optimal trajectories
V.A. Shestakov, K.S Efremov and Yu.L. Karavaev
Experimental investigations of the control algorithm of a mobile manipulation robot on a highly maneuverable platform with omniwheels
I.A. Bizyaev, A.V. Borisov and I.S. Mamaev
Dynamic of nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors
Yu. L. Karavaev, A. A. Kilin
The dynamics of a spherical robot of the combined type by periodic control actions
Yu. L. Karavaev , K. S. Efremov, I. S. Zvonarev
Experimental evaluation of mobile wheeled robot control using artificial neural network
A.V. Nozdrin, Yu.L. Karavaev, S.V. Sokolov
Design features and control of a Spherical Robot of pendulumtype
Alexey Podobryaev
Symmetric extremal trajectories in leftinvariant optimal control problems
A. V. Klekovkin, E.V. Vetchanin and I. S. Mamaev
A dynamic study of screwless fishlike robot with internal rotor
K. Vorushilov
JordanKronecker invariants of semidirect sums of Lie algebras
A.G.Petrov
Saturation Free Numerical Scheme for Computing the Flow Past a Lattice of Airfoils with Sharp Edge
M.E. Sirotkina, E.G. Efimova, E.V. Volodina
Numerical investigations of the ultimate shear and tearingoff resistance of an acuteangled anisotropic wedge (in Russian)
E.G. Efimova, A.Ya. Kornilov
Cavitational flow of several plates (in Russian)
G.A. Fedoreyev, A.S. Znatkov
Highspeed transport system «EkranoflotChuvashia»
T. Kartuzova, A. Kulagina, L. Seliverstova
Numerical research of flow of profiles system near screen (in Russian)
Ja. Kornilov, A.G. Kulagina, I. Ju. Jusupov, D.V.Bobin
The flow around a thin profile with perforated contour lines (in Russian)
V.V. Alexeev, S.A. Vasiljev, S.I. Chuchkalov
The motion of a plane in a viscous highly dispersive medium not saturated with fluid
G.M. Sorokin, T.G. Terekhova
The investigation of whirlwind in stability of the plasmoid above the water surface (in Russian)
V.V. Andreev
Study of the boundary layer near outer surface of the porous catalyst pellet during the reactiondiffusion process in it (in Russian)
V.N. Pichugin
Modeling and analysis of dynamic systems in robotics polygon meshes (in Russian)
V. V. Shumaaev
Estimation of azimuthal instabilities under the joint action of laser radiation and a magnetic field on a plasma
A. O. Kazakova and E. A. Mikishanina
Numerical solution of the boundary value problems for the Poisson’s equation in the plane domain (in Russian)
V.V. Kuritsyina, T.V. Mitrofanova, T.N. Smirnova
Application of boundary element techniques to the solution of tasks of hydrodynamics (in Russian)
E.M. Artemova, A.A. Kilin
Qualitative Analysis of the Dynamics of a Threelink Vehicle