Preliminary schedule
Monday, July 1.
900 – 1000 (регистрация и кофебрейк)
Открытие: 1000 – 1030
Утреннее заседание: Chairman: Lev M. Lerman
1030 – 1110 V.V. Kozlov «Statistical irreversibility of dynamical systems with measures».
1115 – 1155 V.S. Anishchenko “Poincarè recurrences and their applications in nonlinear dynamics “
1200 – 1240 A.S. Dmitriev “Dynamical chaos for telecommunications”
1300 – 1430 Lunch

Section 1 “Bifurcations and strange attractors”
Chairman: Sergey Zelik

Section 2 “Dynamical systems with additional structures (Hamiltonian, timereversible, etc.)”
Chairwoman: Vered RomKedar

Section 3 “Applications of dynamical systems”
Chairman:
S.Yu. Dobrokhotov

1430–1500

V.N. Belykh “Multidimensional Lurie systems and Henon maps:
Smale’s horseshoes and bifurcations”

Lev M. Lerman “On some problems related to the Shilnikov’s saddlefocus”

Alexey Davydov “Optimal stationary cyclic exploitation of renewable resources“

1505–1535

Igor Belykh, Vladimir Belykh, Martin Hasler “Ghost attractors in randomly switched dynamical systems”

Vassili Gelfreich “Asymptotics beyond all orders near a Hamiltonian bifurcation”

N.V. Derendyaev “Quantumhydrodynamic analogy”

1540–1610

V.F. Butuzov “On peculiarities of asymptotics of solutions to singularly perturbed boundary value problems with a multiple root of the degenerate equation”

Sergey Bolotin “Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system”

N.V. Vakulenko, N.N. Ivaschenko, V.M. Kotlyakov, D.M. Sonechkin “On bifurcations that implied the elongation of glacial epochs cycles during pleiocene/pleistocene”

1610–1630

R. Johnson “Bifurcation in nonautonomous diﬀerential systems”

Marina Gonchenko "Exponentially small splitting of separatrices for 2D and 3D invariant tori"

R. Barrio, F. Blesa, S. Serrano, A. Shilnikov A.
Homoclinic spirals and branch adding bifurcations

1630 – 1700 Coffee break

Chairman: S.A. Kashchenko

Chairman: Sergey Bolotin

Chairman: Alexey Davydov

1700–1730

S.D. Glyzin, A.Yu. Kolesov, N.Kh. Rozov “Blue sky catastrophy in relaxation systems”

A.N.Sharkovsky, V.V. Fedorenko “Types of homoclinic trajectories in onedimensional dynamics”

S.Yu.Dobrokhotov, D.A.Lozhnikov, V.E.Nazaikinskii “Cascade of bifurcations of spacetime caustics and wave trains over elongated underwater banks”

1730–1750

S. D. Glyzin “Relaxation oscillations in neurodynamic systems with delays”

G.L. Alﬁmov “Discrete spectrum of nonlinear modes: a mechanism to emerge”

D. FournierPrunaret “Allee eﬀect and dynamics behaviour in Richards’ growth models”

1750–1810

L.A. Kalyakin “Stability of dynamical system under random perturbations”

A. B. Batkhin ”Bifurcation of double symmetric periodic solutions of a Hamiltonian system”

A.A. Potapov “The global fractal method and the fractal paradigm in fundamental radar problems”

1810–1830

Yumagulov M.G. “Operator methods in the problem of constructing Arnold tongues”

A.Yu. Anikin “Librations of Hamiltonian systems and tunnelling in quantum double well”

A.S. Vaganyan “Contact transformations and normal forms in thermodynamics of nonideal media”

1900 – 2100 Welcome party
Tuesday, July 2.
Morning session: Chairman: Dmitry Treschev
900 – 1000 V.S. Afraimovich «L.P. Shilnikov: scientific heritage»
1000 – 1040 C. Simo “Nonintegrability of the Swinging Atwood’s Machine using higher order
variational equations”
1040 – 1120 E.A. Sataev “Perturbations of singular hyperbolic attractors”
1120 – 1150 Coffee break
1150 – 1230 R. Markarian, M. J. Paciﬁco, J. L. Vieitez “Exponential speed of mixing for skew
products with singularities”
1230 – 1310 Dimitry Turaev “Lorenz attractors for ﬂows and diﬀeomorphisms”
1310 – 1430 Lunch

Section 1 “Bifurcations and strange attractors”
Chairman: Dimitry Turaev

Section 2 “Dynamical systems with additional structures (Hamiltonian, timereversible, etc.)”
Chairman: E.A. Sataev

Section 3 “Applications of dynamical systems”
Chairman: Yuri Maistrenko

1430–1500

O.B. Isaeva, S.P. Kuznetsov, I.R. Sataev, A. Pikovsky “Bifurcation mechanisms of the birth and destruction of hyperbolic chaos”

N. MiguelBanos, C. Simo, A. Vieiro “Scaling properties and limit behavior of the largest islands in the Chirikov’s Standard Map far away from Greene’s limit”

U. Feudel, R. Vortmeyer, D. Bastine, K. Guseva “Transport barriers in timedependent ﬂows and their consequences for pattern formation”

1505–1535

S.V. Gonchenko “On universal scenarios of chaos appearance for threedimensional diﬀeomorphisms”

Konstantin Khanin “Hyperbolicity of minimizers for a random forced HamiltonJacobi equation”

D.E. Pelinovsky “1:3 resonance of multisite breathers in KleinGordon lattices“

1540–1610

J.C. Tatjer “Expanding Baker Maps as models for dynamics emerging for 3D homoclinic bifurcations”

M. Kloc, L. Lerman, V. RomKedar “A saddle in a corner  a model of atomdiatom chemical reactions”

Michael A. Harper “US Oﬃce of Naval Research Global International Science Program”

1610–1630

S.V. Gonchenko, I. I. Ovsyannikov “On Lorenzlike attractors birth under global bifurcations”

P. Grisins “Overview of the theoretical research and experimental realizations of onedimensional manybody almostintegrable systems with cold quantum gases”

D.A. Burlakova, E.V. Kruglov “The model of economic dynamics with discrete time”

1630 – 1700 Coffee break

Chairman: J.C. Tatjer

Chairman: S. Yu. Pilyugin

Chairman: V.I. Nekorkin

1700–1730

Albert C. J. Luo “Analytical solutions of periodic ﬂows to chaos“

P. Zgliczynski ”Shadowing of nontransversal heteroclinic chain”

A.O. Mikhaylov, M.A. Komarov, T.A. Levanova, G.V. Osipov “Sequential switching activity in ensembles of inhibitory coupled oscillators”

1730–1750

O.V. Stenkin “One parameter analysis of Homoclinic Ωexplosion: intervals of hyperbolicity and their boundaries”

A.P. Markova “On the existence of homoclinic orbits at periodic reversible Hamiltonian Hopf bifurcation”

M.V. Demina, N.A. Kudryashov “Point vortices and nonlinear polynomials of the Sawada–Kotera and Kaup–Kupershmidt equations”

1750–1810

Poster Session 1

William Giles “On structure and reduction in some Hamiltonian homoclinic bifurcation problems”

Benjamin Cambon, Xavier Leoncini “On the conservation of the magnetic moment in fusion plasma”

1810–1830

Poster Session 1

Sergey Tikhomirov “Shadowing in actions of abelian and nonabelian groups”

K.E. Starkov, A.P.Krishchenko, D. Gamboa, A. Villegas “Dynamical analysis of two models of cancer tumor growth with immunotherapy”

1830–1850

Poster Session 1

D.I. Todorov “Lipschitz inverse shadowing for nonsingular ﬂows”

Max Demenkov “Basin boundary bifurcations and hidden oscillations in multistable dynamics of controlled aeroelastic wing”

2000 Concert of classical music (37 B. Pokrovskaya, Old University Hall)
Wednesday, July 3.
Morning session: Chairman: C. Simo
900 – 940 A.I. Neishtadt “On mechanisms of destruction of adiabatic invariance in slowfast Hamiltonian systems”
945 – 1025 D.V. Treschev “KAMtori near a resonance”
1025 – 1100 Coffee break
1100 – 1140 V.Z. Grines “On dynamics of diffeomorphisms with hyperbolic nonwandering sets on 3manifolds”
1145 – 1225 Francois Laudenbach “In memory of William P. Thurston, an evocation of his work on surfaces”
1230 – 1400 Lunch
1500 – 1800 Volga boat trip
1900 – 2200 Banquet
Thursday, July 4.
Morning session: Chairman: A.I. Neishtadt
900 – 940 S.P. Kuznetsov “Hyperbolic chaos in physical systems
945 – 1025 S.Yu. Pilyugin “Nonhyperbolic shadowing”
1025 – 1100 Coffee break
1100 – 1140 Bernold Fiedler “ODE meanders and PDE global attractors: a Sturmian view”
1145 – 1225 Lorenzo Diaz “Rich model cycles in skewproduct dynamics: From totally
nonhyperbolic dynamics to fully prevalent hyperbolicity via heterodimensional cycles”
1230 – 1310 Yulij S. Ilyashenko “New types of attractors”
1310 – 1430 Lunch

Section 1 “Bifurcations and strange attractors”
Chairman: Jeroen S.W. Lamb

Section 2 “Dynamical systems with additional structures (Hamiltonian, timereversible, etc.)”
Chairman: Vladimir Belykh

Section 3 “Applications of dynamical systems”
Chairman: G.V. Osipov

1430–1500

Michael A. Zaks “On the origin of birhythmicity in ensembles of coupled oscillators”

A. Delshams “Global instability in the elliptic restricted three body problem using two scattering maps”

V.I. Nekorkin, A.S. Dmitrichev “Heteroclinic contours and selfreplicated wave patterns in neural networks with complexthreshold excitation”

1505–1535

Sergey Zelik “Counterexamples to the regularity of Mane projections and global attractors”

A. Delshams, S.V. Gonchenko, V.S. Gonchenko, J.T. Lazaro, O. Stenkin “Mixed dynamics in twodimensional reversible maps “

N.N. Nefedov “Asymptotic comparison principle and its application for reactiondiﬀusionadvection equations with fronts”

1540–1610

I. Baldoma, O. Castejon, T.M. Seara “Shilnikov bifurcations in the Hopfzero singularity”

Laura Gardini, Iryna Sushko, Viktor Avrutin “Critical homoclinic orbits, appearance of snapback repellers and Ωexplosions in piecewise smooth maps”

Yuri Maistrenko and Volodymyr Maistrenko “Chimera states for repulsively coupled phase oscillators”

1610–1630

Olga S. Kostromina, Albert D. Morozov “On resonances and chaos in the system with a homoclinic ”ﬁgureeight”

V.S. Medvedev “MorseSmale flows with three nonwandering points on closed ndimensional manifolds”

Chunqing Lu “Chaos generated by a dynamic system alike Duﬃng equation”

1630 – 1700 Coffee Break

Chairman: Lorenzo Diaz

Chairman: V.Z. Grines

Chairman: V.I. Nekorkin

1700–1730

M.I. Malkin “Bifurcations and universality for rotation sets of Lorenz type systems”

Jeroen S.W. Lamb “Additive noise does not destroy a pitchfork bifurcation”

P.V. Kuptsov, S.P. Kuznetsov, A. Pikovsky “Ensemble of globally coupled periodic oscillators with a noise demonstrates hyperbolic chaos”

1730–1750

A.S. Gonchenko “On existence of Lorenzlike attractors in a nonholonomic model of celtic stone “

N.I. Zhukova “Transverse equivalence of complete conformal foliations”

I.S. Kashchenko “Dynamics of a system with two large delays”

1750–1810

V.P. Kruglov “Ring systems with hyperbolic attractors”

L.S. Efremova “L.P. Shil’nikov’s paper "On the work of A.G. Maier on central motions"and dynamics of skew products”

A.A. Kashchenko “Stability of automodel cycles in a diﬀerential equation with large delay”

1810–1830

V. Zh. Sakbaev “Explosion phenomena for solutions to differential equation”

Е.V. Zhuzhoma “On bifurcations of solenoidtype invariant sets”

Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev “The hierarchy of the dynamics of a body rolling without slipping and spinning on a plane”

1830–1850

I.V. Podvigin “The rate of convergence in Birkhoﬀ theorem for nonuniformly hyperbolic dynamical systems”

Todd Young “Models of Cell Cycle Dynamics and Clustering”

Alexey O. Kazakov, Alexey V. Borisov “Chaotic phenomena in the rubber rock’n’roller problem on a plane”

1850 1910

D. Volk “Dynamics of Piecewise Translations”

N. Shekutkovski “Structure of components of chain recurrent set”

R.I. Bogdanov “Theory of direct measurements in quantum mechanics”

Friday, July 5.
Morning session: Chairwoman: J.M. Paciﬁco
900 – 940 Mark Levi “Pursuit curves, the stationary Schrodinger’s equation and forced vibrations”
945 – 1025 Tingli Xing, Jeremy Wojcik, Roberto Barrio, Andrey Shilnikov “Symbolic tools for
exploration of deterministic chaos”
1030 – 1100 Coffee break
1100 – 1140 A.R. Champneys “Homoclinic snaking: localised pattern formation in Hamiltonian and
reversible systems”
1145 – 1225 S.A. Kashchenko “Normal and quasinormal forms for difference and
differencedifferential equations”
1230 – 1310 Guanrong Chen “Constructing a Simple 3D Autonomous Chaotic System
with Arbitrary Numbers of Equilibria or AttractorScrolls”
1315 – 1430 Lunch

Section 1 “Bifurcations and strange attractors”
Chairman: Bernold Fiedler

Section 2 “Dynamical systems with additional structures (Hamiltonian, timereversible, etc.)”
Chairman: V. Fedorenko

Section 3 “Applications of dynamical systems”
Chairman: S.P. Kuznetsov

1430–1500

A.J. Homburg “Synchronization in iterated function systems”

V. Afraimovich, L. Glebsky, M. Courbage “Directional Complexity and Entropy for Lift Mappings”

A. Pikovsky “Complex collective dynamics in oscillator populations”

1505–1535

R. Lozi “Various strategies of coupling and undersampling of chaotic sequences to improve their unpredictability”

Alexandra Antoniouk, Karsten Keller, Sergiy Maksymenko “On computation of KolmogorovSinai entropy”

V.V. Vedenyapin, M.A. Negmatov “On Htheorem for Liouville Equation, Vlasov Dynamics and Boltzmann extremals”

1540–1610

A.D. Morozov “On bifurcations in resonance zones”

Yohann Duguet “Lagrangian and Eulerian chaos in conﬁned twodimensional convection”

D. Turaev, A.G. Vladimirov, S. Zelik “Interaction of oscillating dissipative optical solitons”

1610–1630

E.P. Kubyshkin “Domain effect in the dynamics of distributed kinetic system”

C. Simo, A. Vieiro “Study of an electromechanical device with figureeight homoclinics in a domain with dissipation”

A.P. Kuznetsov, S.P. Kuznetsov, E.P. Seleznev, N.V. Stankevich “Set of generators of quasiperiodic oscillations”

1630 – 1700 Coffee break

Section 1 “Bifurcations and strange attractors”
Chairman: V. Afraimovich

Section 2 “Dynamical systems with additional structures (Hamiltonian, timereversible, etc.)”
Chairman: A. Delshams

Section 3 “Applications of dynamical systems”
Chairman: Michael A. Zaks

1700–1730

A.Yu. Zhirov “Branched coverings and pseudoAnosov homeomorphisms”

O.V. Pochinka “On simple isotopic classes of MorseSmale diﬀeos on 3sphere”

Fernandez Bastien “Breaking of Ergodicity in Expanding Coupled Map Lattices”

1730–1750

Poster Session 2

A.V. Savin, D.V. Savin “Multistability and transition to chaos in the web map with weak dissipation”

A.P. Kuznetsov, I.R. Sataev, L.V. Turukina “Invariant tori and complex dynamics in lowdimensional ensembles of oscillators”

1750–1810

Poster Session 2

V.V. Fedorenko “Orbits of intervals for onedimensional dynamical systems”

T.A. Gurina “Cascade of homoclinic bifurcations in an ecologic system”

1820 – 1900 Closing
Posters
1. A.B. Adilova, A.P. Kuznetsov, A.V. Savin “On some features of coupled discrete Rossler oscillators dynamics”
2. I.A. Bashkirtseva, T.V. Ryazanova, L.B. Ryashko “Method of conﬁdential domains in the analysis of noiseinduced transitions for Goodwin model”
3. N.I. Biryukova “Statistical Characteristics of Poincare Return Times within the Local Approach under External Force and Noise Conditions”
4. N.V. Demina, O.B. Isaeva, A.Yu. Jalnine, V.I. Ponomarenko “The synchronization of systems with robust chaos and related communication schemes “
5. E.V. Derunova “Bifurcational analysis of extremals of Fredholm functionals with circular symmetry in presence of double resonances”
6. V.M. Doroshenko, L.V. Turukina “Synchronization in the phase model of three coupled oscillators: from a chain to a ring”
7. T.N. Dragunov, A.D. Morozov “On numerical visualization of invariant sets of dynamical systems”
8. Yu.P. Emelianova, V.V. Emelyanov “Eﬀect of broadband synchronization in the systems of two delaycoupled oscillators with cubictype and Besseltype nonlinearities”
9. V.V. Emelyanov, Yu.P. Emelianova “Eﬀect of the delay time in the coupling channel on synchronization regimes of two multimode oscillators”
10. E.V. Felk, A.V. Savin “The eﬀect of weak nonlinear dissipation on the stochastic web”
11. A.S. Filchenkov “Boundary Conditions for Fiber Maps and the Topological Transitivity of Skew Products of Interval Maps”
12. E.E. Giricheva “Modelling of the inﬂuence of zooplankton activity on the ecosystem state”
13. D.V. Glazkov “BogdanovTakens bifurcation in delay diﬀerential equation with asymptotically large period cycle appearance”
14. A.R. Gufranov “Construction algorithms for the dynamic mode maps of the nonlinear dynamic systems”
15. E. Ya. Gurevich “On topological classiﬁcation of MorseSmale diﬀeomorphisms on a sphere of dimension four and higher”
16. V.A. Gustomesov “Description of cycles for quadratic maps from the position of the linear conjugacy”
17. N.R. Isanbaeva “Test of bifurcations for periodic solutions in the plane elliptic restricted threebody problem”
18. L.A. Kalyakin, O.A. Sultanov “Stability of autoresonance models”
19. S. Kapkaeva “Threecolor graph for topological classiﬁcation of gradientlike diﬀeomorphisms on surfaces”
20. M.Yu. Khavinson, M.P. Kulakov “Nonlinear dynamics of employment on the labor market”
21. N.A. Kudryashov, D.I. Sinelshchikov “Generalized Burgers equation for description of nonlinear waves in liquid with gas bubbles”
22. A.P. Kuznetsov, I.R. Sataev, L.V. Turukina “Invariant tori and complex dynamics in lowdimensional ensembles of oscillators”
23. A.P. Kuznetsov, L.V. Turukina, N. Chernyshov “Synchronization and dynamics of three reactively coupled oscillators”
24. Y.A. Levchenko “On topological classiﬁcation of Adiﬀeomorphisms on M^{3} with 2dimensional surface basic sets.”
25. E.N. Makhrova “The structure of dendrites admitting the existence of an arc horseshoe”
26. T.M. Mitryakova “On energy function for structurally stable diﬀeomorphisms on surfaces”
27. M.A. Obychev, O.B. Isaeva, S.P. Kuznetsov “Ring system with the complex analytical dynamics phenomena”
28. E.V. Pankratova, V.N. Belykh “Bifurcations and attractors in sixdimensional system of two dynamically coupled van der PolDuﬃng oscillators”
29. D.V. Savin, A.V. Savin, U. Feudel “Structure of the parameter plane for conservatively coupled H´enon maps at diﬀerent dissipation levels”
30. V.V. Semenov “Experimental research of stochastic AndronovHopf bifurcation in selfsustained oscillators with additive and parametric noise”
31. A.V. Slepnev, T.E. Vadivasova, I.A. Shepelev “Coherence resonance and traveling waves regimes destruction in model of an active medium with periodic boundary conditions”
32. E.S. Suyundukova “Functionalization of a parameter in a saddlenode bifurcations”
33. N.A. Yakushkin “Dynamics of pointwise and diﬀusive models of the iodinexenon oscillations”
34. А.В. Гасников, Ю.В. Дорн, Ю.Е. Нестеров, С.В. Шпирко “Об использовании теоремы Тихонова для вариационного описания равновесия в многостадийной математической модели транспортных потоков крупного мегаполиса”
35. Л.С. Ибрагимова “Признаки синхронизации субгармонических колебаний в консервативных динамических системах”
36. М.П. Кулаков “Кластеризация в моделях динамики пространственно распределенных популяций“
37. Е.В. Курилова, М.П. Кулаков, Е.Я. Фрисман “Синхронизация в системе миграционносвязанных сообществ «ресурс–потребитель»”
38. Г.П. Неверова “Режимы динамики двухкомпонентной популяционной модели, включающей промысловое изъятие”
39. В.И. Потапов “Бифуркации в прикладных диссипативных динамических системах”
40. А.Ю. Переварюха “Бифуркации и нелинейные эффекты, интерпретируемые в моделях воспроизводства популяций рыб”
41. К.В. Шлюфман “Уравнение Рикера с циклически изменяющимся параметром”
42. N.A. Kudryashov, P.N. Ryabov, T.E. Fedyanin “Mathematical modeling of the processes of formation of nanostructures on the semiconductor surfaces under ion bombardment” 