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grant-14-52-12002
grant-14-52-12002
Грант DFG-РФФИ № 14-52-12002. (Projektnummer 163436311)
Динамика нелинейных сетей и активных сред в присутствии шума: синхронизация, контроль и диагностика

Проект предусматривает проведение исследований по двум направлениям: 1) Управление динамическими режимами в сложных сетях, ансамблях взаимодействующих частиц и активных средах с помощью дальнодействующих связей и внешних случайных и регулярных воздействий; 2) Развитие специальных методов диагностики сложных колебательных режимов в присутствии шума. Данный проект является самостоятельной частью проекта SFB 910 - Контроль самоорганизации нелинейных систем: Теоретические методы и концепции приложения (SFB 910 - Control of self-organizing nonlinear systems: Theoretical methods and concepts of application), который предусматривает участие 20 научных групп, в том числе 1-й группы из России (проект B11 в рамках SFB 910).

Руководитель проекта РФФИ: В. С. Анищенко. Научные руководители проекта SFB: В. С. Анищенко (до 2020), Т. Е. Вадивасова, Г. И. Стрелкова.
Название конкурса РФФИ: "Совместный конкурс фундаментальных исследований с немецким научно-исследовательским сообществом".
Название проекта SFB 910: "Control of Self-Organising Non-Linear Systems: Theoretical Methods and Concepts of Application".
Название проекта SFB 910 B11: "Dynamics of complex networks in the presence of external infuences: synchronization and control".
Период выполнения при поддержке РФФИ: 2014-2016 (на сайт РФФИ). Период выполнения при поддержке SFB: 2014-2022 (на сайт DFG). Поделиться:  
Список публикаций:
  1. A. V. Bukh, I. A. Shepelev, E. M. Elizarov, S. S. Muni, E. Schöll, G. I. Strelkova. Role of coupling delay in oscillatory activity in autonomous networks of excitable neurons with dissipation. Chaos 33 (7) — 073114 — 073114 — 2023. (8 citations).
  2. E. V. Rybalova, S. Muni, G. I. Strelkova. Transition from chimera/solitary states to traveling waves. Chaos 33 (3) — 033104 — 033104 — 2023. (5 citations).
  3. A. Zakharova, V. V. Semenov. Stochastic control of spiking activity bump expansion: Monotonic and resonant phenomena. Chaos 33 (8) — 081101 — 2023. (3 citations).
  4. I. A. Korneev, A. V. Slepnev, A. S. Zakharova, T. E. Vadivasova, V. V. Semenov. Generalized model for steady-state bifurcations without parameters in memristor-based oscillators with lines of equilibria. Nonlinear Dynamics 111 (2) — 1235-1243 — 2023. (2 citations).
  5. V. V. Semenov, S. Jalan, A. Zakharova. Multiplexing-based control of wavefront propagation: The interplay of inter-layer coupling, asymmetry and noise. Chaos, Solitons and Fractals 173 — 113656 — 113656 — 2023. (1 citations).
  6. I. Franović, S. Eydam, N. I. Semenova, A. Zakharova. Unbalanced clustering and solitary states in coupled excitable systems. Chaos 32 (1) — 011104 — 011104 — 2022. (19 citations).
  7. E. V. Rybalova, T. E. Vadivasova, G. I. Strelkova, A. Zakharova. Multiplexing noise induces synchronization in multilayer networks. Chaos, Solitons and Fractals 163 — 112521 — 112521 — 2022. (13 citations).
  8. N. N. Nikishina, E. V. Rybalova, G. I. Strelkova, T. E. Vadivasova. Destruction of Cluster Structures in an Ensemble of Chaotic Maps with Noise-modulated Nonlocal Coupling. Regular and Chaotic Dynamics 27 (2) — 242-251 — 2022. (5 citations).
  9. A. Zakharova, G. I. Strelkova, E. Schöll, J. Kurths. Introduction to focus issue: In memory of Vadim S. Anishchenko: Statistical physics and nonlinear dynamics of complex systems. Chaos 32 (1) — 010401 — 010401 — 2022. (1 citations).
  10. Т. Е. Богатенко, А. В. Бух, Г. И. Стрелкова. Sparse coupling impact on the synchronization degree in networks of logistic maps. Материалы научной конференции молодых ученых "Представляем научные достижения миру. Естественные науки" 12 — 42-51 — 2022.
  11. E. V. Rybalova, A. Zakharova, G. I. Strelkova. External Synchronization of Solitary States and Chimeras in Unidirectionally Coupled Neural Networks. 14th Chaotic Modeling and Simulation International Conference — 371-384 — 2022.
  12. E. V. Rybalova, A. Zakharova, G. I. Strelkova. Interplay between solitary states and chimeras in multiplex neural networks. Chaos, Solitons and Fractals 148 — 111011 — 111011 — 2021. (20 citations).
  13. I. A. Shepelev, S. S. Muni, T. E. Vadivasova. Spatiotemporal patterns in a 2D lattice with linear repulsive and nonlinear attractive coupling. Chaos 31 (4) — 043136 — 043136 — 2021. (8 citations).
  14. I. A. Shepelev, V. S. Anishchenko. Bistable labyrinth-like structures and chimera states in a 2D lattice of van der Pol oscillators. Communications in Nonlinear Science and Numerical Simulation 93 — 105513 — 105513 — 2021. (7 citations).
  15. I. A. Shepelev, A. V. Bukh, T. E. Vadivasova, V. S. Anishchenko. Synchronization effects for dissipative and inertial coupling between multiplex lattices. Communications in Nonlinear Science and Numerical Simulation 93 — 105489 — 2021. (7 citations).
  16. A. P. Chetverikov, W. Ebeling, E. Schöll, M. G. Velarde. Control of electron and electron-hole pair dynamics on nonlinear lattice bilayers by strong solitons. Chaos 31 (8) — 083123 — 083123 — 2021. (2 citations).
  17. Т. Р. Богатенко, А. В. Бух, Г. И. Стрелкова. Особенности синхронизации в двуслойной сети нелокально связанных логистических отображений в условиях разреженной межслойной связи. Материалы конференции "Нелинейные дни в Саратове для молодых" 29 — 16-17 — 2021.
  18. T. R. Bogatenko, A. V. Bukh, G. I. Strelkova. Peculiarities of Synchronization in a Two-Layer Network of Chaotic Maps with Inhomogeneous Interlayer Coupling. Nelineinaya Dinamika 17 (1) — 103-117 — 2021.
  19. E. V. Rybalova, G. I. Strelkova, E. Schöll, V. S. Anishchenko. Relay and complete synchronization in heterogeneous multiplex networks of chaotic maps. Chaos 30 (6) — 061104 — 061104 — 2020. (33 citations).
  20. I. A. Shepelev, A. V. Bukh, S. S. Muni, V. S. Anishchenko. Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators. Chaos, Solitons and Fractals 135 — 109725 — 109725 — 2020. (21 citations).
  21. T. E. Vadivasova, A. V. Slepnev, A. Zakharova. Control of inter-layer synchronization by multiplexing noise. Chaos 30 (9) — 091101 — 091101 — 2020. (19 citations).
  22. I. A. Shepelev, A. V. Bukh, S. S. Muni, V. S. Anishchenko. Quantifying the Transition from Spiral Waves to Spiral Wave Chimeras in a Lattice of Self-sustained Oscillators. Regular and Chaotic Dynamics 25 (6) — 597-615 — 2020. (10 citations).
  23. G. I. Strelkova, V. S. Anishchenko. Spatio-temporal structures in ensembles of coupled chaotic systems. Physics-Uspekhi 63 (2) — 145-161 — 2020. (8 citations).
  24. A. V. Bukh, V. S. Anishchenko. Spiral and target wave chimeras in a 2D network of nonlocally coupled van der Pol oscillators. Chaos, Solitons and Fractals 131 — 109492 — 109492 — 2020. (7 citations).
  25. I. A. Shepelev, T. E. Vadivasova. External localized harmonic influence on an incoherence cluster of chimera states. Chaos, Solitons and Fractals 133 — 109642 — 109642 — 2020. (4 citations).
  26. T. R. Bogatenko, A. V. Bukh, V. S. Anishchenko, G. I. Strelkova. Synchronization Effects in a Two-Layer Network of Nonlocally Coupled Chaotic Maps with Dissipative and Inertial Intercoupling. Izvestiya of Saratov University. Physics 20 (1) — 42-54 — 2020. (3 citations).
  27. А. В. Бух, Е. В. Рыбалова, В. С. Анищенко. Автоволновые структуры в двумерных решетках нелокально связанных осцилляторов. Известия вузов. ПНД 28 (3) — 299-323 — 2020. (2 citations).
  28. Е. В. Рыбалова, А. В. Бух, Г. И. Стрелкова, В. С. Анищенко. Спиральные и концентрические химеры в двумерной решетке нелокально-связанных отображений. Тезисы докладов научной школы "Нелинейные волны" — 210-211 — 2020.
  29. A. V. Bukh, A. S. Kosenkova, V. S. Anishchenko. Reflecting, Nonlocal, and Diagonal Coupling Topologies in Networks of the Coupled Dynamics Elements with Various Nature. Izvestiya of Saratov University. Physics 20 (1) — 16-28 — 2020.
  30. Е. В. Рыбалова, А. В. Бух, Г. И. Стрелкова, В. С. Анищенко. Спиральные и концентрические химеры в двумерной решетке нелокально-связанных отображений. Тезисы докладов научной школы "Нелинейные волны" 19 — 210-211 — 2020.
  31. E. V. Rybalova, T. E. Vadivasova, G. I. Strelkova, V. S. Anishchenko, A. S. Zakharova. Forced synchronization of a multilayer heterogeneous network of chaotic maps in the chimera state mode. Chaos 29 (3) — 033134 — 033134 — 2019. (51 citations).
  32. E. V. Rybalova, V. S. Anishchenko, G. I. Strelkova, A. Zakharova. Solitary states and solitary state chimera in neural networks. Chaos 29 (7) — 071106 — 071106 — 2019. (48 citations).
  33. A. V. Bukh, E. Schöll, V. S. Anishchenko. Synchronization of spiral wave patterns in two-layer 2D lattices of nonlocally coupled discrete oscillators. Chaos 29 (5) — 053105 — 053105 — 2019. (26 citations).
  34. A.V. Bukh, G.I. Strelkova, V.S. Anishchenko. Spiral wave patterns in a two-dimensional lattice of nonlocally coupled maps modeling neural activity. Chaos, Solitons and Fractals 120 — 75-82 — 2019. (25 citations).
  35. E. V. Rybalova, A. V. Bukh, G. I. Strelkova, V. S. Anishchenko. Spiral and target wave chimeras in a 2D lattice of map-based neuron models. Chaos 29 (10) — 101104 — 101104 — 2019. (19 citations).
  36. I. A. Shepelev, T. E. Vadivasova. Variety of spatio-temporal regimes in a 2D lattice of coupled bistable FitzHugh-Nagumo oscillators. Formation mechanisms of spiral and double-well chimeras. Communications in Nonlinear Science and Numerical Simulation 79 — 104925 — 104925 — 2019. (19 citations).
  37. A. V. Bukh, V. S. Anishchenko. Spiral, Target, and Chimera Wave Structures in a Two-Dimensional Ensemble of Nonlocally Coupled van der Pol Oscillators. Technical Physics Letters 45 (7) — 675-678 — 2019. (11 citations).
  38. A. V. Bukh, G. I. Strelkova, V. S. Anishchenko. Spiral Wave Patterns in Two-Layer 2D Lattices of Nonlocally Coupled Discrete Oscillators. Synchronization of Spiral Wave Chimeras. Izvestiya of Saratov University. Physics 19 (3) — 166-177 — 2019. (1 citations).
  39. N. I. Semenova, A. Zakharova. Weak multiplexing induces coherence resonance. Chaos 28 (5) — 051104 — 051104 — 2018. (43 citations).
  40. E. V. Rybalova, G. I. Strelkova, V. S. Anishchenko. Mechanism of realizing a solitary state chimera in a ring of nonlocally coupled chaotic maps. Chaos, Solitons and Fractals 115 — 300-305 — 2018. (36 citations).
  41. I. A. Shepelev, A. V. Bukh, T. E. Vadivasova, V. S. Anishchenko, A. Zakharova. Double-well chimeras in 2D lattice of chaotic bistable elements. Communications in Nonlinear Science and Numerical Simulation 54 — 50-61 — 2018. (34 citations).
  42. I. A. Shepelev, G. I. Strelkova, V. S. Anishchenko. Chimera states and intermittency in an ensemble of nonlocally coupled Lorenz systems. Chaos 28 (6) — 063119 — 063119 — 2018. (20 citations).
  43. A. V. Bukh, G. I. Strelkova, V. S. Anishchenko. Synchronization of Chimera States in Coupled Networks of Nonlinear Chaotic Oscillators. Nelineinaya Dinamika 14 (4) — 419-433 — 2018. (18 citations).
  44. A. V. Bukh, A. V. Slepnev, V. S. Anishchenko, T. E. Vadivasova. Stability and Noise-induced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps. Regular and Chaotic Dynamics 23 (3) — 325-338 — 2018. (17 citations).
  45. I. A. Shepelev, A. V. Bukh, S. Ruschel, S. Yanchuk, T. E. Vadivasova. Local sensitivity of spatiotemporal structures. Nonlinear Dynamics 94 (2) — 1019-1027 — 2018. (8 citations).
  46. А. В. Бух, Г. И. Стрелкова, В. С. Анищенко. Синхронизация химерных состояний в двух связанных ансамблях нелинейных хаотических осцилляторов. Материалы Международной научной конференции "Компьютерные науки и информационные технологии" — 71-75 — 2018.
  47. S. A. Bogomolov, A. V. Slepnev, G. I. Strelkova, E. Schöll, V. S. Anishchenko. Mechanisms of appearance of amplitude and phase chimera states in ensembles of nonlocally coupled chaotic systems. Communications in Nonlinear Science and Numerical Simulation 43 — 25-36 — 2017. (103 citations).
  48. A. V. Bukh, E. V. Rybalova, N. I. Semenova, G. I. Strelkova, V. S. Anishchenko. New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps. Chaos 27 (11) — 111102 — 111102 — 2017. (61 citations).
  49. I. A. Shepelev, T. E. Vadivasova, A. V. Bukh, G. I. Strelkova, V. S. Anishchenko. New type of chimera structures in a ring of bistable FitzHugh–Nagumo oscillators with nonlocal interaction. Physics Letters A 381 (16) — 1398-1404 — 2017. (55 citations).
  50. I. A. Shepelev, A. V. Bukh, G. I. Strelkova, T. E. Vadivasova, V. S. Anishchenko. Chimera states in ensembles of bistable elements with regular and chaotic dynamics. Nonlinear Dynamics 90 (4) — 2317-2330 — 2017. (35 citations).
  51. I. A. Korneev, V. V. Semenov. Andronov–Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria. Chaos 27 (8) — 081104 — 081104 — 2017. (25 citations).
  52. I. A. Shepelev, A. Zakharova, T. E. Vadivasova. Chimera regimes in a ring of oscillators with local nonlinear interaction. Communications in Nonlinear Science and Numerical Simulation 44 — 277-283 — 2017. (15 citations).
  53. V. V. Semenov. Noise-induced transitions in a double-well excitable oscillator. Physical Review E 95 (5) — 052205 — 2017. (7 citations).
  54. V. V. Semenov, A. Zakharova, Y. Maistrenko, E. Schöll. Delayed-feedback chimera states: Forced multiclusters and stochastic resonance. EPL (Europhysics Letters) 115 (1) — 10005 — 2016. (58 citations).
  55. T. E. Vadivasova, G. I. Strelkova, S. A. Bogomolov, V. S. Anishchenko. Correlation analysis of the coherence-incoherence transition in a ring of nonlocally coupled logistic maps. Chaos 26 (9) — 093108 — 093108 — 2016. (52 citations).
  56. I. A. Shepelev, A. V. Slepnev, T. E. Vadivasova. Different synchronization characteristics of distinct types of traveling waves in a model of active medium with periodic boundary conditions. Communications in Nonlinear Science and Numerical Simulation 38 — 206-217 — 2016. (12 citations).
  57. A. N. Pavlov, O. V. Semyachkina-Glushkovskaya, O. N. Pavlova, A. S. Abdurashitov, G. M. Shihalov, E. V. Rybalova, S. S. Sindeev. Multifractality in cerebrovascular dynamics: an approach for mechanisms-related analysis. Chaos, Solitons and Fractals 91 — 210-213 — 2016. (9 citations).
  58. V. V. Semenov, A. Zakharova, Y. Maistrenko, E. Schöll. Deterministic and stochastic control of chimera states in delayed feedback oscillator. AIP Conference Proceedings — 2016. (6 citations).
  59. V. V. Semenov, A. V. Feoktistov, T. E. Vadivasova, E. Schöll, A. Zakharova. Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: Theory versus experiment. Chaos 25 (3) — 033111 — 033111 — 2015. (44 citations).
  60. A. N. Pavlov, O. V. Semyachkina-Glushkovskaya, V. V. Lychagov, A. S. Abdurashitov, O. N. Pavlova, O. A. Sindeeva, S. S. Sindeev. Multifractal characterization of cerebrovascular dynamics in newborn rats. Chaos, Solitons and Fractals 77 — 6-10 — 2015. (7 citations).
  61. K. S. Sergeev, T. E. Vadivasova, A. P. Chetverikov. Dynamics of Ensemble of Active Brownian Particles Controlled by Noise. Mathematical Biology and Bioinformatics 10 (1) — 72-87 — 2015.
  62. А. В. Шабунин. Нейронная сеть как предсказатель динамики дискретного отображения. Известия вузов. ПНД 22 (5) — 58-72 — 2014. (1 citations).
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