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12.12.2018Conference program
International
Conference
“Shilnikov
Workshop2018”
dedicated to the
memory of
Leonid Pavlovich
Shilnikov (19342011)
Place: University Conference Center,
Nizhny Novgorod University
Gagarina 23, Corp. 1, New library building (NLB),
floor 4
PROGRAM
Monday, December 17
930 –
945 Registration
945 –
1000 Opening
Plenary Sessions 1: Chairman: S. Gonchenko
1000 – 1100 V.N.
Belykh “Simplified
maps modeling funnel attractors in 3D flow with one or two equlibria”
1100 – 1130 Coffee break
1130 – 1215 A.S. Dmitrichev, D.S. Shchapin, V.I. Nekorkin “Cloning of chimera states in large
multiplex network of linearly coupled relaxational oscillators with
nonstationary interlayer couplings”
1215 –
13:00 L. Lerman “On skew products over a quasiperiodic shift of the circle”
1300 –
1430 Lunch
Chairman: A. Gonchenko
1430 – 1500 A. V.
Mishin, A. A. Nechaev, M. A. Garasev, A. N. Stepanov, Vl .V. Kocharovsky “Formation of a density bump at the front of a
collisionless shock wave during the expansion of a laser plasma”
1500 – 1520 A. A.
Nechaev, M. A. Garasev, A. V. Mishin, A. N. Stepanov, Vl.V. Kocharovsky “Generation of magnetic field
behind the front of a collisionless shock wave during the expansion of a laser
plasma”
1520 – 1545 I.R. Garashchuk, D.I.
Sinelshchikov, N.A. Kudryashov, A. Kazakov “Multistability and Hyperchaos in the
Dynamics of Two Coupled Contrast Agents”
1545 – 1600 D.Malyshev, A.Kazakov, E.Shiryaeva “On computationally effective methods
for verification of the attractor pseudohyperbolicity”
1600 – 1620 N.V.
Stankevich, E.S. Popova, A.P.
Kuznetsov “Formation of hyperchaos after secondary NeimarkSacker bifurcation”
1620 – 1640 A.A. Emeliyanova, V.I. Nekorkin “Attractors and repellers in a
system of two nonidentical phase oscillators with adaptive couplings”
1640 – 1700 Coffee break
Chairman: S. Maksimenko
17.00 – 17.20
A.A. Makeeva, A.S. Dmitrichev, V.I.
Nekorkin “Canard solutions in a onedimensional array of FitzHughNagumo
neurons”
17.20 – 17.40
M.M. Pugavko,
V. I. Nekorkin “Chaotic
spatiotemporal dynamics of a chain of bistable maps”
1740 – 1800 G.L.
Alfimov, A.S. Korobeinikov, C.J. Lustri, and D.E.
Pelinovsky ``Transparent points'' in Discrete NLS Equation with Saturation.
1800 –
1820 G.L. Alfimov, I.V. Barashenkov, A.P.
Fedotov “Moving solitons for the LugiatoLefever equation”
Postersession (during Monday and Tuesday)
1) E.S. Alekseeva, A.E. Rassadin “The Estimation for Length of Closed Phase
Trajectory of TwoDimensional System of
Ordinary Differential Equations”
2) E.S. Alekseeva, A.E. Rassadin “On Asymptotic Solution for One of the Simplest
Model of Cosmological Inflation”
3) D. I.
Astakhova, M. V. Sysoeva, I. V. Sysoev “Dependency of coupling estimates
obtained with partial directed coherence method on time series length”
4) Yu.V.
Bakhanova “Shilnikov homoclinic loops in the RosenzweigMacArtur model”
5) Ali Ghannam “On the approximation of
cylinder map by nonautonomous Hamiltonian system rotation”
6) O. Gordeeva, V. Lukyanov “On bifurcations of twodimensional
diffeomorphisms with a quadratic
homoclinic tangency to a nonhyperbolic saddle”
7) E. Grines “On discrete Shilnikov
attractors in a system of symmetrically coupled oscillators”
8) A. A.
Grishchenko, M. V. Sysoeva, C. M. van Rijn, I. V. Sysoev. Estimating
optimal lag of embedding for state space reconstruction from scalar
realizations of brain local field potentials before, during and after
spikewave discharges.
9) A.O. Kazakov, I.R. Sataev “On discrete
Lorenz and Shilnikov attractors in the modified oscillator of
AnishchenkoAstakhov”
10) I. Korenkov
“Wild spiral attractors in the fourdimensional ShimitsuMorioka system”
11) A.G. Korotkov, T.A. Levanova and G.V.
Osipov “The dynamics of ensemble of neuronlike elements with excitatory
couplings”
12) A.V.
Kostyuk, M. V. Kornilov, D. D. Kulminskiy, V. I. Ponomarenko, I. V. Sysoev.
Application of Partial Directed Coherence for assessing connectivity from time
series of radioengineering generators.
13) A.D.
Kozlov “On numerical methods of pseudohyperbolicity check”
14) Т.А. Levanova, A.G. Korotkov, G.V.
Osipov “The impact of electrical couplings on the dynamics of discrete
neuronlike elements”
15) Morozov A.I. ,Pochinka O.V. "New
research methods of KupkaSmale diffeomorphisms"
16) O. I. Pipikin, E.V. Pankratova
“Isolated cell's response near the
boundary of firing mode domain”
17) I.D. Remizov “On estimation of error in approximations provided by
Chernoff's product formula”
18) I.
Sinitsky “On mixed dynamics of twodimensional reversible maps with
nontransversal heteroclinic cycles”
19) A.I.
Shykhmamedov “Towards appearance of chaotic dynamics in the Henon map”
Tuesday, December 18
Plenary session
2: Chairman: A. Morozov
1000 – 1045 V. Grines “On manifolds admitting structurally stable
“sinksource” diffeomorphisms”
1045 – 1115 Coffee
break
1115 – 1155 S. Maksymenko, O. Khohliyk “Diffeomorphisms preserving MorseBott
foliations”
1155 – 1235 M.
Malkin, K. Safonov “Detecting
of chaos by perturbations of
degenerate maps”
1235 – 1300 A. Delshams, M. Gonchenko, P.
Gutierrez, Exponentially small splitting of separatrices associated to 3D
whiskered tori with cubic frequencies.
1300 –
1430 Lunch
Session 1: Bifurcations
and chaos (NLB, Conference Hall), Chairman: A. Korotkov

Session 2: Dynamical systems and applications
(NLB,Exhibitory room) Chairman: A. Rassadin

1430
– 1500 I.V. Sysoev,
M. V. Sysoeva. Transitions between regimes in ensembles of coupled
neurooscillators in application to epilepsy modeling.
1500 – 1530 M.I. Bolotov,
V.O. Munyayev, L.A. Smirnov and G.V. Osipov Symmetry broken states in an
ensemble of coupled pendulums.
1530 – 1550 N.V.Barabash “Ghostattractor in blinking nonlinear rotatoroscillator”
1550 – 1615 A.Gonchenko,
E.Samylina “On the domain of existence of Lorenzlike attractors in a
nonholonomic model of Celtic stone”
1615 – 1640 M.A. Rozhnova, E.V.Pankratova,
I.A.Lazarevich, S.V.Stasenko, V.B.Kazantsev “Bifurcations leading to periodic solutions in mathematical
model of neural extracellular matrix”

1430 – 1500 A. Kulikov, D. Kulikov “Nontrivial invariant manifolds of the KuramotoSivashinsky equation
and the Galerkin method”
1500 – 1520 A. Sekatskaya “On the influence of
the shape of a region on the character of local bifurcations in the
KuramotoSivashinsky equation”
1520 – 1540 A.M.Kovaleva “Stability and bifurcations of solutions for the
nonlocal erosion equation in the case of a small spatial deviation”
1540 – 1600 K. Morozov "On quasiperiodic
perturbations of Duffing type
equations"
1600 – 1620 E. Derunova,
Mazhar N. Ali “Topological states of matter as bifurcations of trajectories
of Schrodinger equation in periodic potential”
1620 – 1640 O.S.Kostromina
“On quasiperiodic perturbations of pendulumtype equation”

1640 – 1700 Coffee break
Plenary session
3: Chairman: S. Gonchenko
1700 – 1720 E. Zhuzhoma, V.
Medvedev “On
conjugacy of regular and semiregular Smale diffeomorphisms”
1720 – 1740 I.A.Bashkirtseva, S.S.Zaitseva “Analysis of stochastic dynamic in autocatalytic
regulation model”
1740 – 1800 A.G.
Korotkov, T.A. Levanova, G.V. Osipov “Chaotic regimes in the ensemble of
FitzhHughNagumo elements with weak couplings”
closing 