Programme
VIIth International Conference «Geometry, Dynamics, Integrable Systems – GDIS 2018»
Venue for the conference: lecture-room 107, building of Fiztekhbio.
The address: 9 bld 7 Institutskiy Pereulok, Dolgoprudny.
| June 5 (Tuesday) | |
| Arrival of participants | |
| June 6 (Wednesday) | |
| 09.30-10.00 | Registration of participants |
| 10.00-10.15 | Opening ceremony |
| 10.15-13.00 Lecture session 1 Chair: Vladimir Dragovic | |
| 10.45-11.15 | Ivan S. Mamaev, Ivan A. Bizyaev, Alexey V. Borisov and Valery V. Kozlov The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration |
| 10.45-11.15 | Francesco Fasso Moving energies and integrability of symmetric mechanical nonholonomic systems with affine constraints |
| 11.15-11.30 | Coffee break |
| 11.30-12.00 | Luis C. Garcia-Naranjo Generalisation of Chaplygin’s Reducing Multiplier Theorem with an application to multi-dimensional nonholonomic dynamics |
| 12.00-12.30 | Borislav Gajic and Bozidar Jovanovic Time reparametrisations in nonholonomic dynamics and integrability of the n-dimensional rolling ball over a sphere |
| 12.30-13.00 | Phanindra Tallapragada, Vitaliy Fedonyuk and Beau Pollard Nonholonomic Constraints and Limit Cycles in the Swimming of a Joukowski foil |
| 13.00-14.00 | Lunch |
| 14.00-17.45 Lecture session 2 Chair: Bozidar Jovanovic | |
| 14.00-14.30 | Alain Albouy Lambert’s theorem and transformation |
| 14.30-15.00 | Pantelis Damianou On integrable Lotka-Volterra systems |
| 15.00-15.30 | Iskander A. Taimanov Closed geodesics on non-simply-connected manifolds |
| 15.30-15.45 | Coffee break |
| 15.45-16.15 | Vladimir Dragovic Billiards within quadrics and extremal polynomials |
| 16.15-16.45 | Andrey E. Mironov Two-sided magnetic Kozlov-Polikarpov billiards |
| 16.45-17.15 | Michal Pnueli and Vered Rom-Kedar On some near integrable impact systems |
| 17.15-17.45 | Alexander P. Veselov Vortex streets and solitons |
| 17.45-19.00 | Excursion to the Museum of History of the Moscow Institute of Physics and Engineering |
| June 7 (Thursday) | |
| 9.00-13.00 Lecture session 3. Chair: Francesco Fasso | |
| 9.00-9.30 | Andrey Tsiganov Draft classification of 2D and 3D superintegrable systems with natural Hamiltonians and higher order integrals of motion |
| 9.30-10.00 | Dmitry V. Treschev Travelling waves in FPU lattices near the hard ball limit |
| 10.00-10.30 | Valery V. Kozlov Instability, asymptotic trajectories and dimension of the phase space |
| 10.30-11.00 | 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 |
| 11.00-11.15 | Coffee Break |
| 11.15-11.45 | Sergey P. Kuznetsov, Ivan A. Bizyaev, and Alexey V. Borisov Self-acceleration of Chaplygin sleigh |
| 11.45-12.05 | Alexander A. Kilin and Elena N. Pivovarova Acceleration of a Chaplygin Top Using Rotors |
| 12.05-12.35 | Nikolay A. Kudryashov First integral and exact solutions of the Duffing — Van der Pol equation |
| 12.35-13.00 | Dmitry I. Sinelshchikov On the integrability of non–autonomous Li´enard–type equations |
| 13.00-14.00 | Lunch |
| 14.00-18.30 Lecture session 4. Chair: Dmitry Treschev | |
| 14.00-14.30 | Grzegorz. Kudra and Jan Awrejcewicz, Modelling and bifurcation dynamics of a rattleback situated on vibrating platform |
| 14.30-15.00 | Alexey V. Borisov, Alezander A. Kilin, Ivan S. Mamaev A Nonholonomic Model of the Paul Trap |
| 15.00-15.20 | Yury Karavaev, Alexander Kilin Experimental investigations of the rolling friction of spherical bodies on a plane without slipping |
| 15.20-15.40 | Vyacheslav P. Kruglov and Sergey P. Kuznetsov Smale-Williams attractor in a system of alternately oscillating coupled Froude pendulums |
| 15.40-15.55 | Coffee Break |
| 15.55-16.25 | Stuart Rogers Optimal control of a rolling ball robot actuated by internal point masses |
| 16.25-16.55 | Yuri Sachkov, Andrei Ardentov Extremal trajectories in $l_\infty$ sub-Finsler problem on Cartan group |
| 16.55-17.15 | Andrei Ardentov Cut locus in Euler’s elastic problem |
| 17.15-17.35 | Alexey Mashtakov Sub-Riemannian geodesics on the group of motions of Euclidean space |
| 17.35-18.30 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 Evgenii V. Vetchanin, Egor S. Gladkov Alexander A. Kilin, Elizaveta M. Artemova Alexey V. Borisov, Tatiana B. Ivanova, Yury L. Karavaev Ekaterina E. Karginova Irina Kharcheva Vladislav Kibkalo Viktoria Vediushkina Alexander Kilin, Yury Karavaev and Anton Klekovkin Elena Sachkova, Yuri Sachkov Maxim Didin Mikhail Shavin |
|
| 19.00-21.00 | Social Dinner |
| June 8 (Friday) | |
| 9.00-12.45 Lecture session 5. Chair: Andrzej J. Maciejewski | |
| 9.00-9.30 | Sergey V. Sokolov Bifurcation analysis of the dynamics of two vortices in a Bose – Einstein condensate: the general case |
| 9.30-10.00 | Stefanella Boatto Vortex and mass dynamics over surfaces : Maxwell laws, geometry and surface topology |
| 10.00-10.30 | Qun Wang Relative Periodic Solutions Of The N-Vortex Problem Via The Variational Method |
| 10.30-11.00 | Jair Koiller, Cesar Castilho and Adriano Regis Vortex pairs on genus zero surfaces: stability of equilibria and the triaxial ellipsoid |
| 11.00-11.15 | Coffee Break |
| 11.15-11.45 | Oleg Kirillov, Davide Bigoni, Diego Misseroni, Giovanni Noselli, and Mirko Tommasini Experimental evidence of the Ziegler destabilization paradox |
| 11.45-12.15 | Milovan Šuvakov Planar three-body problem in the pairwise strong potential: periodic solutions |
| 12.15-12.45 | Bozidar Jovanovic and Yuri Fedorov Prym varieties and generalisation of Jacobi–Mumford systems |
| 12.45-14.00 | Lunch |
| 14.00-17.45 Lecture session 6. Chair: Stefanella Boatto | |
| 14.00-14.30 | Manuele Santoprete Canonoid and Poissonoid Transformations, Symmetries and bi-Hamiltonian structures |
| 14.30-15.00 | Alexey Bolsinov Symplectic invariants of integrable Hamiltonian systems: the case of degenerate singularities |
| 15.00-15.30 | Rodrigo Schaefer and Amadeu Delshams Scattering maps and global instability in Hamiltonian systems |
| 15.30-15.45 | Coffee Break |
| 15.45-16.15 | Andrzej J. Maciejewski Dynamics of constrained many body problems in constant curvature two-dimensional manifolds |
| 16.15-16.45 | Maria Przybylska, Thierry Combot and Andrzej J. Maciejewski Bi-homogeneity and integrability of rational potentials |
| 16.45-17.15 | Elena A. Kudryavtseva Super-integrable Bertrand natural mechanical systems |
| 17.15-17.45 | Thierry Combot Rational integrability of trigonometric polynomial potentials on the flat torus |
| June 9 (Saturday) | |
| 10.00-14.00 Lecture session 7. Chair: Sergey Sokolov | |
| 10.00-10.30 | Vladislav V.Sidorenko, Alexander V.Sakharov Dynamics of Stars in “Disk+Halo” Galaxy Model |
| 10.30-10.55 | Sergey Efimov, Dmitry Pritykin, Vladislav Sidorenko Intermediate Integrable Model: a Strategy to Apply the Averaging Method |
| 10.55-11.20 | 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. |
| 11.20-11.55 | Vsevolod Sakbaev Probabilistic properties of random Hamiltonian systems |
| 11.45-12.00 | Coffee Break |
| 12.00-12.30 | Alexander Ivanov On the locomotion of a slider with internal moving masses |
| 12.30-13.00 | Alexander Batkhin Centrally symmetric periodic solutions in Hill problem |
| 13.00-13.30 | Andrey A. Oshemkov On semi-local classification of non-degenerane rank 0 singularities for integrable Hamiltonian systems with three degrees of freedom |
| 13.30-14.00 | Ivan Kozlov Realization of Jordan-Kronecker invariants by Lie algebras |
| 14.00-16.00 | Round-table discussion dedicated to development and promotion of Russian Journal of Nonlinear Dynamics |
| Photographing | |
| Closing Ceremony | |
* The program of the conference may be changed due to unforeseen circumstances.