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13.07.2018PROGRAM (NEW)
International
ConferenceSchool
Dynamics, Bifurcations and Chaos
2018 (DBC V)
16 – 20 July, 2018
University Conference Center
Nizhny Novgorod University
Gagarina 23, Corp. 1,
New library building (NLB), floor 4
PROGRAM (preliminary)
Nizhny Novgorod 2017
Monday, July 16
900 – 945 Registration (NLB, Conference Hall)
945 – 1000 Opening (NLB, Conference Hall)
Chairman S. Gonchenko (NLB,
Conference Hall)
1000 – 1045 L. Lerman, V. Grines “Nonautonomous vector fields on S3 with simple
dynamics and complicated topology”
1045 – 1115 Coffeebreak
1115 – 1200 A. Rodrigues “Dynamics near a periodically forced robust heteroclinic cycle”
1200 – 1245 O. Pochinka “On obstructions to the
existence of a simple arc connecting the multidimensional MorseSmale
diffeomorphisms”
1245 –
1430 Lunch
Chairman A. Morozov (NLB, Conference Hall)
1430 – 1515 A. Shilnikov, Course “Mathematical
neuroscience”, Lecture 1
1515 – 1600 S. Maksimenko, Course
“KolmogorovSinai entropy”, Lecture 1
1600 –
1630 Coffeebreak
Chairman A. Kazakov (NLB, Conference
Hall)
16301700 M. Malkin "Estimates on chain recurrent
sets for highdimensional polynomial maps"
17001730 M. Gonchenko “On local and global
aspects of the 1:4 resonance in the conservative cubic Henon maps”
17301750 O. Kostromina “On resonances and
homoclinic bifurcations in asymmetric pendulum type equation”
17501810 A. Kazakov, A. Kozlov “On asymmetric Lorenz attractors of threedimensional
systems”
Tuesday, July 17
Chairman D. Turaev (NLB, Conference
Hall)
1000  1045 T. Vadivasova “Synchronization of
chimera structures in a multilayer network of discrete maps with unidirectional
interaction between layers”
1045 –
1115 Coffeebreak
1115  1200 W. Govaerts "Software MatCont:
Applications and recent Advances"
1200  1230 I. Kashchenko “Behavior of solutions of
spatially distributed delay logistic equation”
12301300 T. Gurina “Homoclinic chaos in the
oscillatory system of motion of a plate in a liquid”
1300 –
1430 Lunch
Chairman L. Lerman (NLB, Conference
Hall)
1430 – 1515 A. Shilnikov, Course “Mathematical
neuroscience”, Lecture 2
1515 – 1600 S. Maksimenko, Course
“KolmogorovSinai entropy”, Lecture 2
1600 –
1630 Coffeebreak
Section: Bifurcations and
strange attractors (NLB,
Conference Hall)
Chairman M. Gonchenko

Section: Application of
dynamical systems (NLB,
Exhibitory room)
Chairman A. Rassadin

16301650
A. Prugger, J. Rademacher “Stability
and nonlinear waves in damped driven rotating shallow water models”
16501710 S.
Zaitseva “Bifurcations and stochastic
dynamics in the allosteric model”
17101730 E. Rybalova “Solitary state chimera: Appearance and
synchronization of the new chimera state”
17301750
L. Siemer “Existence and
Stability of Inhomogeneous Domain Walls in LandauLifschitzGilbert Equations
with SpinTorque”
17501810
E. Grines, A. Kazakov,
G. Osipov, I. Sataev,
"Chaotic attractors in lowdimensional systems of globally coupled
identical phase oscillators"

16301650
A. Rassadin, A. Stepanov, L. Fomin “Peculiarities of evolution of
regularized fractal shapes on surface of solid state in the vicinity of
gradient catastrophe”
16.501710 I. Rakut “Generator
of periodic signals for analogous modeling of dynamical systems”
1710 – 1730 E.
Alekseeva, A. Rassadin “Applications of the Kolmogorov type
inequalities to solution of one functionaldifferential equation”
1730 – 1750 A.
Tronov “Curvature
and torsion of phase trajectories of the Rikitake system”
17501810 TBA

Wednesday, July 18
Day devoted to the 75anniversary of V.N. Belykh
Chairman G. Osipov (NLB, Conference
Hall)
1000 – 1100 V. Belykh “Study of phase pictures, bifurcations and
synchronization without computer aid”
1100 –
1130 Coffeebreak
1130 – 1215 I. Belykh, R. Jeter R., M. Porfiri
“Windows of opportunity for stochastic networks of coupled maps”
1215 – 1245 A. Morozov, K. Morozov “On quasiperiodic perturbation of
selfoscillation systems”
1245 –
1430 Lunch
Chairman I. Belykh
(NLB, Conference Hall)
1430 – 1515 V.
Klinshov, V. Nekorkin “Destabilization of regular spiking in networks of
pulse delay coupled oscillators”
1515 – 1600 G.
Osipov “Transient and periodic spatiotemporal structures in a reactiondiffusion
mechanical system”
1600 –
1630 Lunch
Section Session “Dynamics of living systems”
Chairman A. Shilnikov (NLB, Conference Hall)
16301700
Korotkov A., Kazakov O., Levanova T., Osipov G. “The dynamics of
ensemble of neuronlike elements with excitatory couplings”
17001730 S.
Makovkin, M. Ivanchenko, A. Zaikin “Desynchronization
in model neuronglial multiplex networks”
17301800 E.
Slepukhina “Stochastic dynamics near the blue sky
catastrophe bifurcation in neuron model”
19.00 ...
Banquet
Thursday, July 19
Chairman A. Rodrigues (NLB,
Conference Hall)
1000 – 1045 T. Lazaro “Singularly embedded solitons in a fifth order KdV model”
1045 –
1115 Coffeebreak
1115 – 1200 S. Glyzin “Multidimensional Hyperbolic
Annulus Principle”
1200 – 1230 L.
Glebsky “Dynamics of modular
exponent and the Higman group”
1230 – 1300 I.
Sysoev “Modeling and identification
of large ensembles of neurooscillators from vector time series”
1300 –
1430 Lunch
Chairman S. Glyzin (NLB, Conference
Hall)
1430 – 1515 S. Maksimenko, Course
“KolmogorovSinai entropy”, Lecture 3
1515 – 1600 A. Shilnikov, Course “Mathematical neuroscience”, Lecture 3
1600 – 1630 Coffeebreak
Section Session “Dynamics of living systems” + Posters
Chairman A. Gonchenko
(NLB, Conference Hall)
16301700 M.
Kulakov “On spatialtemporal patterns in 2D model of twoaged populations
coupled by migration”
17001730 D. Alacam “Modeling Sea Slug Swim
Central Pattern Generators”
17301800 J.
Scully “Dynamical tools for CPG modelling featuring Dendronotus Iris”
Poster session:
1) P. Arinushkin “Analysis of
synchronous operation modes of coupled oscillators of power grids”
2) Yu. Bakhanova “On the appearance of Shilnikov attractors in one
chemical model”
3) N. Barabash “Singularhyperbolic and quasistrange attractors in a
multidimensional piecewise linear Lorenzlike system”
4) M. Bolotov “ Simple and complex chimera states in a nonlinearly
coupled oscillatory medium”
5) D. Bolshakov “Hardware
neuron model: excitation and bursting”
6) E. Bubnova “ Homogeneous states in the system of nonidentical phase
oscillators”
7) T.Dragunov “On quasiperiodic perturbations of Duffing  Van der
Pol equation”
8) A. Ghamam “On bifurcations
of maps of the cylinder with a cubic function of rotation”
9) A. Kalyakulina “Synchronization of neuroglial networks induced by
extracellular factors”
10) I. Korenkov “On the wild spiral attractor in 4dimensional
ShimizuMorioka model”
11) I. Korneev “Features of
synchronization of periodic selfsustained oscillators interacting through the
memristive conductivity”
12) A.Korotkov “Spiral attractors as the root of a new type of bursting
activity in the RosenzweigMacArthur model”
13) T. Levanova “The impact of electrical couplings on the sequential
bursting activity in the ensemble of inhibitory coupled Van der Pol elements”
14) T. Medvedeva “Using the complex network of neuron oscillators for
modeling an absence epilepsia”
15) E. Morozova “Dynamics of periodically spiking neurons in response
to inhibitory periodic stimulation”
16) E. Nozdrinova “On existence of a smooth arc without bifurcations joining
sourcesink diffeomorphisms on 2sphere”
17) E. Samylina “Chaotic dynamics and multistability in the
nonholonomic model of Celtic stone”
18) E. Shiryaeva “Discrete spiral attractors of threedimensional generalized Henon maps”
19) A. Shyhmamedov “On homoclinic bifurcations leading to the
appearance and breakdown of Henonlike attractors”
20) L. Smirnov “ Rotational dynamics in the ensemble of three coupled
pendulums”
Friday, July 20
Chairman M. Malkin (NLB, Conference
Hall)
1000  1045 S. Zelik “TBA”
1045 – 1115
Coffeebreak
1115  1145 I. Remizov "Formula for solution
of multidimensional diffusiontype equation"
1145  1215 A. Kostyanko
“TBA”
1215 – 1240 J.
Yang, J. Rademacher “Spectra,
stability and energy estimates for reaction subdiffusion equations”
1240 – 1300 A.
Kolinichenko “Spatiotemporal selforganization in stochastic Brusselator”
1300 –
1430 Lunch
Chairman S. Gonchenko (NLB, Conference Hall)
14.301500 G.Astrakharchik "Twoball billiard predicts digits of the
number PI in noninteger numerical bases"
15001530 A.
Clarke, D. Turaev “Arnold
diffusion in multidimensional convex billiards”
15301600 C.
Bick “Oscillator Networks: Collective Dynamics through Generalized
Interactions”
1600 –
1630 Coffeebreak and closing 