Programme
VII^{th} International Conference «Geometry, Dynamics, Integrable Systems – GDIS 2018»
Venue for the conference: lectureroom 107, building of Fiztekhbio.
The address: 9 bld 7 Institutskiy Pereulok, Dolgoprudny.
June 5 (Tuesday)  
Arrival of participants  
June 6 (Wednesday)  
09.3010.00  Registration of participants 
10.0010.15  Opening ceremony 
10.1513.00 Lecture session 1 Chair: Vladimir Dragovic  
10.4511.15  Ivan S. Mamaev, Ivan A. Bizyaev, Alexey V. Borisov and Valery V. Kozlov The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration 
10.4511.15  Francesco Fasso Moving energies and integrability of symmetric mechanical nonholonomic systems with affine constraints 
11.1511.30  Coffee break 
11.3012.00  Luis C. GarciaNaranjo Generalisation of Chaplygin’s Reducing Multiplier Theorem with an application to multidimensional nonholonomic dynamics 
12.0012.30  Borislav Gajic and Bozidar Jovanovic Time reparametrisations in nonholonomic dynamics and integrability of the ndimensional rolling ball over a sphere 
12.3013.00  Phanindra Tallapragada, Vitaliy Fedonyuk and Beau Pollard Nonholonomic Constraints and Limit Cycles in the Swimming of a Joukowski foil 
13.0014.00  Lunch 
14.0017.45 Lecture session 2 Chair: Bozidar Jovanovic  
14.0014.30  Alain Albouy Lambert’s theorem and transformation 
14.3015.00  Pantelis Damianou On integrable LotkaVolterra systems 
15.0015.30  Iskander A. Taimanov Closed geodesics on nonsimplyconnected manifolds 
15.3015.45  Coffee break 
15.4516.15  Vladimir Dragovic Billiards within quadrics and extremal polynomials 
16.1516.45  Andrey E. Mironov Twosided magnetic KozlovPolikarpov billiards 
16.4517.15  Michal Pnueli and Vered RomKedar On some near integrable impact systems 
17.1517.45  Alexander P. Veselov Vortex streets and solitons 
17.4519.00  Excursion to the Museum of History of the Moscow Institute of Physics and Engineering 
June 7 (Thursday)  
9.0013.00 Lecture session 3. Chair: Francesco Fasso  
9.009.30  Andrey Tsiganov Draft classification of 2D and 3D superintegrable systems with natural Hamiltonians and higher order integrals of motion 
9.3010.00  Dmitry V. Treschev Travelling waves in FPU lattices near the hard ball limit 
10.0010.30  Valery V. Kozlov Instability, asymptotic trajectories and dimension of the phase space 
10.3011.00  Boris S. Bardin, Alexander A. Savin On identical resonance in stability problem of pendulum periodic motions of a heavy rigid body in the Hess case 
11.0011.15  Coffee Break 
11.1511.45  Sergey P. Kuznetsov, Ivan A. Bizyaev, and Alexey V. Borisov Selfacceleration of Chaplygin sleigh 
11.4512.05  Alexander A. Kilin and Elena N. Pivovarova Acceleration of a Chaplygin Top Using Rotors 
12.0512.35  Nikolay A. Kudryashov First integral and exact solutions of the Duffing — Van der Pol equation 
12.3513.00  Dmitry I. Sinelshchikov On the integrability of non–autonomous Li´enard–type equations 
13.0014.00  Lunch 
14.0018.30 Lecture session 4. Chair: Dmitry Treschev  
14.0014.30  Grzegorz. Kudra and Jan Awrejcewicz, Modelling and bifurcation dynamics of a rattleback situated on vibrating platform 
14.3015.00  Alexey V. Borisov, Alezander A. Kilin, Ivan S. Mamaev A Nonholonomic Model of the Paul Trap 
15.0015.20  Yury Karavaev, Alexander Kilin Experimental investigations of the rolling friction of spherical bodies on a plane without slipping 
15.2015.40  Vyacheslav P. Kruglov and Sergey P. Kuznetsov SmaleWilliams attractor in a system of alternately oscillating coupled Froude pendulums 
15.4015.55  Coffee Break 
15.5516.25  Stuart Rogers Optimal control of a rolling ball robot actuated by internal point masses 
16.2516.55  Yuri Sachkov, Andrei Ardentov Extremal trajectories in $l_\infty$ subFinsler problem on Cartan group 
16.5517.15  Andrei Ardentov Cut locus in Euler’s elastic problem 
17.1517.35  Alexey Mashtakov SubRiemannian geodesics on the group of motions of Euclidean space 
17.3518.30 Poster session  
Viktor Moskvin Liouville foliation topology of integrable billiard with nonconvex angles on the boundaryAlexey V. Borisov, Evgenii V. Vetchanin and Ivan S. Mamaev Strange attractors in the problem of the motion of a rigid body in a fluidEvgenii V. Vetchanin, Egor S. Gladkov Determination of the hydrodynamic resistance of a toroidal body using experimental dataAlexander A. Kilin, Elizaveta M. Artemova Qualitative analysis of the dynamics of two vortex latticesAlexey V. Borisov, Tatiana B. Ivanova, Yury L. Karavaev Dynamics of a homogeneous sphere on a rotating planeEkaterina E. Karginova Liouville foliation of topological billiards, bounded with segments of confocal quadrics in Minkowski plane in terms of FomenkoZieschang invariantsIrina Kharcheva Integrable Billiard’s Books Vladislav Kibkalo Viktoria Vediushkina Alexander Kilin, Yury Karavaev and Anton Klekovkin Elena Sachkova, Yuri Sachkov Maxim Didin Mikhail Shavin 

19.0021.00  Social Dinner 
June 8 (Friday)  
9.0012.45 Lecture session 5. Chair: Andrzej J. Maciejewski  
9.009.30  Sergey V. Sokolov Bifurcation analysis of the dynamics of two vortices in a Bose – Einstein condensate: the general case 
9.3010.00  Stefanella Boatto Vortex and mass dynamics over surfaces : Maxwell laws, geometry and surface topology 
10.0010.30  Qun Wang Relative Periodic Solutions Of The NVortex Problem Via The Variational Method 
10.3011.00  Jair Koiller, Cesar Castilho and Adriano Regis Vortex pairs on genus zero surfaces: stability of equilibria and the triaxial ellipsoid 
11.0011.15  Coffee Break 
11.1511.45  Oleg Kirillov, Davide Bigoni, Diego Misseroni, Giovanni Noselli, and Mirko Tommasini Experimental evidence of the Ziegler destabilization paradox 
11.4512.15  Milovan Šuvakov Planar threebody problem in the pairwise strong potential: periodic solutions 
12.1512.45  Bozidar Jovanovic and Yuri Fedorov Prym varieties and generalisation of Jacobi–Mumford systems 
12.4514.00  Lunch 
14.0017.45 Lecture session 6. Chair: Stefanella Boatto  
14.0014.30  Manuele Santoprete Canonoid and Poissonoid Transformations, Symmetries and biHamiltonian structures 
14.3015.00  Alexey Bolsinov Symplectic invariants of integrable Hamiltonian systems: the case of degenerate singularities 
15.0015.30  Rodrigo Schaefer and Amadeu Delshams Scattering maps and global instability in Hamiltonian systems 
15.3015.45  Coffee Break 
15.4516.15  Andrzej J. Maciejewski Dynamics of constrained many body problems in constant curvature twodimensional manifolds 
16.1516.45  Maria Przybylska, Thierry Combot and Andrzej J. Maciejewski Bihomogeneity and integrability of rational potentials 
16.4517.15  Elena A. Kudryavtseva Superintegrable Bertrand natural mechanical systems 
17.1517.45  Thierry Combot Rational integrability of trigonometric polynomial potentials on the flat torus 
June 9 (Saturday)  
10.0014.00 Lecture session 7. Chair: Sergey Sokolov  
10.0010.30  Vladislav V.Sidorenko, Alexander V.Sakharov Dynamics of Stars in “Disk+Halo” Galaxy Model 
10.3010.55  Sergey Efimov, Dmitry Pritykin, Vladislav Sidorenko Intermediate Integrable Model: a Strategy to Apply the Averaging Method 
10.5511.20  Pavel E. Ryabov. Sergey V. Sokolov Explicit integration the second critical subsystem for the integrable case of Adler and van Moerbeke in rigid body dynamics. 
11.2011.55  Vsevolod Sakbaev Probabilistic properties of random Hamiltonian systems 
11.4512.00  Coffee Break 
12.0012.30  Alexander Ivanov On the locomotion of a slider with internal moving masses 
12.3013.00  Alexander Batkhin Centrally symmetric periodic solutions in Hill problem 
13.0013.30  Andrey A. Oshemkov On semilocal classification of nondegenerane rank 0 singularities for integrable Hamiltonian systems with three degrees of freedom 
13.3014.00  Ivan Kozlov Realization of JordanKronecker invariants by Lie algebras 
Closing Ceremony  
* The program of the conference may be changed due to unforeseen circumstances.