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Lyapunov Memorial Conference – June 24-30, 2007
LMC 2007
International Conference in Ukraine
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Sunday, June 24 |
| 09:00-18:00 |
Registration (Kharkiv National
University, entrance hall) |
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Monday, June 25 |
| 08:00-10:00 |
Registration (Kharkiv National
University, entrance hall) |
| 10:00-11:00 |
Opening Ceremony |
| 11:00-11:45 |
A.Borisenko, “A.M. Lyapunov. Life in science” |
| 11:45-12:30 |
V.Korobov, “A.M. Lyapunov: the founder of
stability theory” |
| 12:30-13:15 |
A.Khovansky, “Lyapunov’s family” |
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Exhibition dedicated to A.Lyapunov
(lobby) |
| Lunch
Break |
| 16:00-17:30 |
Opening of the Lyapunov Memorial |
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| 19:00 |
Get-together party (University Cafe, underground floor) |
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Tuesday, June 26 |
|
Plenary Session |
| 09:00-09:40 |
Samoilenko A.M., Toroidal attractor of one
oscillating system |
| 09:40-10:20 |
Ilyashenko Yu.S., Non-attracting attractors |
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Coffee Break |
| 10:50-11:30 |
Korolyuk V.S., Stability of
stochastic systems in diffusion approximation scheme |
| 11:30-12:10 |
Klyatskin V.I., The typical realization curve
and Lyapunov exponent in stochastic dynamical systems |
| 12:10-12:50 |
Yampolsky M., Computability and complexity of
Julia sets |
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Lunch Break |
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Section MÈΦ |
| 15:00-15:25 |
Pastukhova S.E. On Korn inequalities for thin
periodic structures |
| 15:25-15:50 |
Chemetov N.V., Antontsev S.N., Euler equation
with non-homogeneous Navier slip boundary condition |
| 15:50-16:15 |
Derevyanko S.A., Turitsyn S.K., Falkovich G.,
Turitsyn K.S., Explosive growth of inhomogeneities in the distribution of
droplets in a turbulent air |
| 16:15-16:40 |
Sokolovsky A.I., Sokolovsky S.A., To structural
stability of non-equilibrium states |
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Coffee Break |
| 17:00-17:25 |
Mikhailets V.A., Molyboga V.M., Spectra of
singularly perturbed periodic differential operators of even order |
| 17:25-17:50 |
Ryabukha T.V., On nature of divergent terms in
solution expansions of BBGKY hierarchies for infinitely particle systems |
| 17:50-18:15 |
Sandrakov G.V., Homogenization of some
hydrodynamics problems with small viscosity
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| 18:15-18:40 |
Pehlivan S., Aytar S., Some results on
Γ- statistical
convergence |
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Section DS |
| 15:00-15:25 |
Chabanyuk Ya.M., Stability of the dynamical
system with the semi-Markov switching in the condition of the diffusion
approximation |
| 15:25-15:50 |
Bigun Ya.I., An averaging the existence of
solution of multi-frequency problem with delay |
| 15:50-16:15 |
Loveykin Yu., On perturbation of invariant tori
that foliate the central manifold of conditionally integrable Hamiltonian
systems |
| 16:15-16:40 |
Demidenko G.V., On delay differential equations
and systems consisting of a large number of ordinary differential equations |
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Coffee Break |
| 17:00-17:25 |
Shcherbakov P.S., Topunov M.V., Optimal
stabilization of uncertain systems via invariant ellipsoid approach |
| 17:25-17:50 |
Shamolin M.V., The cases of complete
integrability in dynamics of a rigid body interacting with a medium |
| 17:50-18:15 |
Mikhlin Yu.V., Nonlinear normal vibration modes
in conservative and near conservative systems |
| 18:15-18:40 |
Grosu C., Blok reduction and Lyapunov exponents |
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Section An |
| 15:00-15:25 |
Kovalevsky A.A., Degenerate anisotropic
variational inequalities with L1 - data |
| 15:25-15:50 |
Kogut P.I., Suboptimal controls for
Dirichlet-Neumann boundary control problem in perforated domain with the
holes of critical size |
| 15:50-16:15 |
Fardigola L.V., On controllability problem for
the 1-d wave equation on a half-axis |
| 16:15-16:40 |
Makarov A.A., Controllability by the evolution
system of partial differential equations |
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Coffee Break |
| 17:00-17:25 |
Gorbachuk M.L., Gorbachuk V.I., On stability of
differential equations in a Banach space |
| 17:25-17:50 |
Golub A.P., Generalized moment representations
and Padé approximation |
| 17:50-18:15 |
Larionchikov R.S., Jacobi polynomials and WKBJ–method |
| 18:15-18:40 |
Dmitrieva I.Yu., On algebraic equations of
compact Riemann surfaces and their applications |
| 18:40-19:05 |
Shishkina E., The Fourier-Bessel transform of
the radial function |
| 19:05-19:30 |
Feldman G.M., Myronyuk M.V., Independent linear
statistics on connected LCA groups of dimension two |
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Section M |
| 15:00-15:25 |
Kizilova N.N., Stability of the steady flow of
a viscous liquid in the distensible viscoelastic tube |
| 15:25-15:50 |
Borisov I.D., Yatsenko T.Yu., Mathematical
issues of theory of small oscillations of magnetizable capillary fluid |
| 15:50-16:15 |
Patsegon N.F., Popova L.N., Self-organization
in magnetic fluid films |
| 16:15-16:40 |
Trikha M., Mahapatra D. Roy, Gopalakrishnan S.,
Stability of moving flexible aerospace vehicles: Some open problems in
mathematical modeling and computation |
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Coffee Break |
| 17:00-17:25 |
Karpinsky M.Yu., Kizilova N.N., Stability of
the vertical stance of a human: experimental data and a mathematical model
of the multilink inverted pendulum |
| 17:25-17:50 |
Rudnev Yu.I., Stability of cylindrical zone of
current-carrying fluid in magnetic field |
| 17:50-18:15 |
Filippova E.N., Wave propagation in arteries as
distensible tubes: a theoretical and experimental study |
| 18:15-18:40 |
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Wednesday, June 27 |
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Plenary Session |
| 09:00-09:40 |
Lyubich M., On the rigidity problem in
holomorphic dynamics |
| 09:40-10:20 |
Alber H.D., Models of viscoelasticity and
homogenization |
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Coffee Break |
| 10:50-11:30 |
Kotani S., Survey on 1-dim Random Schrödinger
operators and Lyapunov exponents |
| 11:30-12:10 |
Sell G., Navier-Stokes equations with Navier
boundary conditions in nearly flat irregular domains |
| 12:10-12:50 |
Zhikov V.V., Elliptic equations with
non-standard growth conditions and its applications |
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Lunch Break |
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15:00-17:00 |
Poster Session (ILTPE, 4 Svobody Square) |
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Conference Dinner |
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Thursday, June 28 |
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Plenary Session |
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09:00-09:40 |
Jona-Lasinio G., TBA |
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09:40-10:20 |
Teschl G., Stability of the periodic Toda
lattice under short range perturbations |
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Coffee Break |
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10:50-11:30 |
Guivarch Y., Simplicity of the Lyapunov
spectrum for products of stationary matrices in Gibbsian dependence |
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11:30-12:10 |
Sharkovsky O.M., Ideal turbulence |
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12:10-12:50 |
Zagrebnov V., Dirichlet-to-Neumann Gibbs
Semigroups |
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Lunch Break |
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Section MÈΦ |
| 15:00-15:25 |
Kuplevakhsky S.V., Glukhov A.M., Kuplevakhsky
A.S., Critical current of Josephson Junctions from the point of view of
stability theory |
| 15:25-15:50 |
Kruglikov B., Entropy of piece-wise affine
systems |
| 15:50-16:15 |
Mahapatra D.Roy, Melnik R., Balachandran B.,
Lyapunov spectrum of solid-solid phase transformation under
thermo-mechanical excitation |
| 16:15-16:40 |
Gordevskyy V.D., Andrijasheva N.V., Some local
approximate solutions of the Boltzmann Equation |
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Coffee Break |
| 17:00-17:25 |
Bannikova E.Yu., Kontorovich V.M., Vortex ring
acceleration and ejection by the convergent radial stream as a model of AGN
jet components formation |
| 17:25-17:50 |
Egorova I., Michor J., Teschl G., Lyapunov
function and scattering problem for step-like periodic Jacobi operator |
| 17:50-18:15 |
Szeto K.Y., Ko T.Y., Stability of some simple
hierarchical networks with ring topology |
| 18:15-18:40 |
Rabinovich V.S., Essential spectrum of
pseudo-differential operators and exponential decay estimates of their
solutions. Application to Schrödinger operators |
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Section DS |
| 15:00-15:25 |
Shvets A.Yu., The deterministic chaotic
oscillation of spherical pendulum with limited excitation |
| 15:25-15:50 |
Athanassopoulos K., Stable and unstable minimal
attractors |
| 15:50-16:15 |
Samodurov A.A., Voronkina N.A., On formal
integrals of periodical two-dimensional differential systems |
| 16:15-16:40 |
Chujko S.M., Boundary value problem in special
critical case |
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Coffee Break |
| 17:00-17:25 |
Matveeva I.I., On stability of solutions of
differential equations with parameter |
| 17:25-17:50 |
Mazko A.G., Invariant cones, stability and
comparison of dynamic systems |
| 17:50-18:15 |
Ostapenko V.A., The asymptotic analysis for the
equations of rollers rotations of vibrating qualifiers as system close to
the system of Lyapunov |
| 18:15-18:40 |
Nosov V., Ortega Herrera J.A., Bouzina I.,
Stability of some polynomial equations with delay |
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Section An |
| 15:00-15:25 |
Gerasimenko V.A., Free interpolation by entire
functions of finite gamma-type |
| 15:25-15:50 |
Rukasov V.I., Chaichenko S.O., Approximation
the Poussin integrals of function, which define on real axis |
| 15:50-16:15 |
Martynenko I.A., On the contracting balls
principle in metrical spaces |
| 16:15-16:40 |
Kalchuk I.V., On approximation of functions
from the classes
by
the operators of Weierstrass |
|
Coffee Break |
| 17:00-17:25 |
Sedov A.V., The theorem of sampling for the
final signals |
| 17:25-17:50 |
Vasilyev V.B. Asymptotics arising in the theory
of pseudo-differential equations in non-smooth domains |
| 17:50-18:15 |
Rukasov V.I., Silin E.S., Simultaneous
approximation of
 integrals
of continuous functions by the Valle Poussin’s operators |
| 18:15-18:40 |
Malyutin K., A Fourier series method for
subharmonic functions |
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Section Pr |
| 15:00-15:25 |
Virchenko Yu.P, Karabutova T.V., Probabilistic
solutions of the Boltzman equation |
| 15:25-15:50 |
Rudenko A.V., Renormalization of local times
for Gaussian processes |
| 15:50-16:15 |
Bradul N., Stability of a difference analogue
of the ''predator-prey'' model with delay and random perturbations |
| 16:15-16:40 |
Korenevskii D.G., The Lypunov stochastic
function for detection of destabilizing effect of parametric white noise in
dynamic systems |
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Coffee Break |
| 17:00-17:25 |
Malovichko T.V., About convergency of solutions
of stochastic differential equations to Arratia flow |
| 17:25-17:50 |
Martynenko I.A., Calculations of the
significance level for unknown probability |
| 17:50-18:15 |
Sencimen C., Pehlivan S.,Strong statistical
convergence in probabilistic metric spaces |
| 18:15-18:40 |
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Friday, June 29 |
|
Plenary Session |
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09:00-09:40 |
Myshkis A., Stability of the solutions of
differential equations under generalized impulse perturbations |
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9:40-10:20 |
Khovanskii A., Fewnomials abilian integrals and
Gilbert-Arnold problem |
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Coffee Break |
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10:50-11:30 |
Kuznetsov E.A., Deep-water internal solitary
waves: bifurcations, stability and collapse |
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11:30-12:10 |
Pavlov B., Analytic perturbation procedure,
direct computing and a solvable model for scattering on a junction |
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Lunch Break |
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Section MÈΦ |
| 15:00-15:25 |
Gerasimenko V.I., On the evolution equations
for quantum infinite particle systems |
| 15:25-15:50 |
Selezov I., Some hyperbolic models to predict
wave propagation with finite velocity |
| 15:50-16:15 |
Bazaliy B.V., Boundary value problems for the
singular elliptic and parabolic second order equations in an angular domain |
| 16:15-16:40 |
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Coffee Break |
| 17:00-17:25 |
Stephan H., Lyapunov functions for positive
linear evolution problems |
| 17:25-17:50 |
Zubkova E.I., Rofe-Beketov F.S., Inverse
scattering problems for the Schrödinger operators with the not self-adjoint
matrix potential |
| 17:50-18:15 |
Khrabustovsky V.I., On the limit of regular
dissipative boundary value problems with non-separated boundary conditions
when the interval tends to semi-axis |
| 18:15-18:40 |
Gaiko V., Towards qualitative theory of
polynomial dynamical systems |
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Section DS |
| 15:00-15:25 |
Novitskyy V.V., Solution of Lyapunov equation
for linear almost conservative systems |
| 15:25-15:50 |
Tkachenko V.I., Trofimchuk S.I., On the global
attractivity in nonlinear non-autonomous equations with delay |
| 15:50-16:15 |
Teplinsky A., Rigidity theory for circle
diffeomorphisms |
| 16:15-16:40 |
Kamneva L.V., On discontinuous value functions
in time-optimal differential games |
|
Coffee Break |
| 17:00-17:25 |
Tkachuk A.M., The existence of positive
definite Lyapunov function for the differential equations system |
| 17:25-17:50 |
Evtukhov V.M., Klopot A.M., Asymptotic
representations of solutions of non-autonomous ordinary differential
equations of n-th order |
| 17:50-18:15 |
Borisov A., Dynamics
of the rolling motion of the disk on inclined plane |
| 18:15-18:40 |
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Section An |
| 15:00-15:25 |
Bodraya V.I., Novikov O.A., Approximation of
classes of continuous functions by rectangular linear methods |
| 15:25-15:50 |
Torgan G., Existence of solution of the mixed
problem for one semilinear parabolic equation of fourth order in the bounded
domain |
| 15:50-16:15 |
Savchuk V.V., The linear methods of
approximation of holomorphic functions from Bergman space |
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Coffee Break |
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Section Pr |
| 16:35-17:00 |
Izyumtseva O., Renormalized local time of
intersection for some diffusion process |
| 17:00-17:25 |
Usatenko O.V., Yampol’skii V.A., Melnik S.S.,
Apostolov S.S., Mayselis Z.A., Stochastic dynamic systems viewed as additive
multi-step Markov chains |
| 17:25-17:50 |
Lytova A., Pastur L.A., Central limit theorems
for the linear eigenvalue statistics of Wigner and Marchenko-Pastur random
matrix ensembles |
| 17:50-18:15 |
Yablonski A.L., Limiting behavior of sums with
approximations of Brownian motion |
| 18:15-18:40 |
Zolotukhin I.V., Zolotukhina L.A., Gaussian
processes as weak limits of processes describing insurance liabilities |
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Saturday, June 30 |
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Plenary Session |
| 09:00-09:40 |
Kozlov V.V., On certain stability conditions |
| 09:40-10:20 |
Chueshov I.D., Long-time behavior of
dissipative wave equations |
| 10:20-11:20 |
Kopachevsky N.D., On stability and instability
of hydrodynamical systems |
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Closing |
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