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Radiophysics and Nonlinear Dynamics Department
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Стрелкова Г.И.
Астахов В.В.
Вадивасова Т.Е.
Шабунин А.В.
Слепнев А.В.
Семенова Н.И.
Сергеев К.С.
Шепелев И.А.
Семенов В.В.
Корнеев И.А.
Рыбалова Е.В.
Аринушкин П.А.
Богатенко Т.Р.
Елизаров Е.М.
Рамазанов И.Р.
Бух А.В.
Колесников И.Д.
Рябченко А.Д.
Маслов А.Е.
Никишина Н.Н.
Публикации:
  1. O. V. Astakhov, S. V. Astakhov, N. S. Fadeeva, V. V. Astakhov. Dynamics of the generator with three circuits in the feedback loop. Multistability formation and transition to chaos. Izvestiya of Saratov University. Physics 21 (1) — 21-28 — 2021. (1 citations).
  2. S. V. Astakhov, O. V. Astakhov, N. S. Fadeeva, V. V. Astakhov. A ring generator of two- and three-frequency quasiperiodic self-oscillations based on the van der Pol oscillator. Chaos 31 (8) — 083108 — 083108 — 2021. (3 citations).
  3. Sergey Astakhov, Oleg Astakhov, Natalia Fadeeva, Vladimir Astakhov. Multistability, quasiperiodicity and chaos in a self-oscillating ring dynamical system with three degrees of freedom based on the van der Pol generator. Chaos, Solitons and Fractals 148 — 110978 — 110978 — 2021. (3 citations).
  4. O. V. Astakhov, S. V. Astakhov, N. S. Krakhovskaya, V. V. Astakhov, J. Kurths. The emergence of multistability and chaos in a two-mode van der Pol generator versus different connection types of linear oscillators. Chaos 28 (6) — 063118 — 063118 — 2018. (4 citations).
  5. Nataliya V. Stankevich, Anton Dvorak, Vladimir Astakhov, Patrycja Jaros, Marcin Kapitaniak, Przemysław Perlikowski, Tomasz Kapitaniak. Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators. Regular and Chaotic Dynamics 23 (1) — 120-126 — 2018. (17 citations).
  6. S. V. Astakhov, O. V. Astakhov, V. V. Astakhov, J. Kurths. Bifurcational Mechanism of Multistability Formation and Frequency Entrainment in a van der Pol Oscillator with an Additional Oscillatory Circuit. International Journal of Bifurcation and Chaos 26 (07) — 1650124 — 2016. (7 citations).
  7. Anton Dvorak, Vladimir Astakhov, Przemyslaw Perlikowski, Tomasz Kapitaniak. Nonlinear resonance and synchronization in the ring of unidirectionally coupled Toda oscillators. The European Physical Journal Special Topics 225 (13-14) — 2635-2643 — 2016. (2 citations).
  8. M. Balakin, L. Kochkurov, L. Melnikov, V. Astakhov. Multistability and complex dynamics in coupled semiconductor lasers with time-delayed feedback. Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS) — 2016.
  9. V. S. Anishchenko, S. V. Astakhov, Y. I. Boev, N. I. Semenova (Biryukova), G. I. Strelkova. Statistics of Poincaré recurrences in local and global approaches. Communications in Nonlinear Science and Numerical Simulation 18 (12) — 3423-3435 — 2013. (7 citations).
  10. A. Dvorak, P. Kuzma, P. Perlikowski, V. Astakhov, T. Kapitaniak. Dynamics of three Toda oscillators with nonlinear unidirectional coupling. The European Physical Journal Special Topics 222 (10) — 2429-2439 — 2013. (8 citations).
  11. L. A. Kochkurov, M. I. Balakin, L. A. Melnikov, V. V. Astakhov. Numerical modeling of terahertz generation via difference-frequency mixing in two-color laser. SPIE Proceedings — 2013. (3 citations).
  12. S. V. Astakhov, A. Dvorak, V. S. Anishchenko. Influence of chaotic synchronization on mixing in the phase space of interacting systems. Chaos 23 (1) — 013103 — 013103 — 2013. (3 citations).
  13. V S Anishchenko, S V Astakhov. Poincaré recurrence theory and its applications to nonlinear physics. Physics-Uspekhi 56 (10) — 955-972 — 2013. (11 citations).
  14. Sergey V. Astakhov, Vadim S. Anishchenko. Afraimovich–Pesin dimension for Poincaré recurrences in one- and two-dimensional deterministic and noisy chaotic maps. Physics Letters A 376 (47-48) — 3620-3624 — 2012. (5 citations).
  15. S. V. Astakhov, A. V. Feoktistov, V. S. Anishchenko, J. Kurths. Synchronization of multi-frequency noise-induced oscillations. Chaos 21 (4) — 047513 — 047513 — 2011. (6 citations).
  16. V. V. Astakhov, S. Koblyanskii, A. V. Shabunin, T. Kapitaniak. Peculiarities of the transitions to synchronization in coupled systems with amplitude death. Chaos 21 (2) — 023127 — 023127 — 2011. (5 citations).
  17. А.В. Шабунин, А.Н. Литвиненко, В.В. Астахов. Управление мультистабильностью с помощью би-­фазного резонансного воздействия. Известия вузов. ПНД 19 (1) — 25-39 — 2011.
  18. С. В. Астахов, В. С. Анищенко. Относительная метрическая энтропия. Мера степени перемешивания в регулярных и хаотических зашумленных системах. LAP Lambert Academic Publishing GmbH & Co.KG, Germany — 108с — 2011.
  19. V. S. Anishchenko, S. V. Astakhov, T. E. Vadivasova. Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy. Regular and Chaotic Dynamics 15 (2-3) — 261-273 — 2010. (6 citations).
  20. В.В. Астахов, С.А. Коблянский, А.В. Шабунин. Бифуркационный анализ режимов синхронизации и гашения колебаний в связанных генераторах с инерционной нелинейностью. Известия вузов. ПНД 18 (2) — 79-97 — 2010.
  21. A. V. Shabunin, U. Feudel, V. V. Astakhov. Phase multistability and phase synchronization in an array of locally coupled period-doubling oscillators. Physical Review E 80 (2) — 026211 — 2009. (7 citations).
  22. V. Anishchenko, S. Astakhov, T. Vadivasova. Phase dynamics of two coupled oscillators under external periodic force. EPL (Europhysics Letters) 86 (3) — 30003 — 2009. (38 citations).
  23. А. В. Шабунин, В. В. Астахов. Фазовая мультистабильность в ансамбле генераторов с удвоениями периода. Известия вузов. ПНД 17 (6) — 99-118 — 2009.
  24. В. С. Анищенко, В. В. Астахов, Т. Е. Вадивасова. Регулярные и хаотические автоколебания. Синхронизация и влияние флуктуаций. Учебник-монография. Долгопрудный: Издательский Дом "Интеллект" — 312с — 2009.
  25. A. V. Shabunin, V. V. Astakhov, V. V. Demidov, A. V. Efimov. Multistability and synchronization of chaos in maps with “Internal” coupling. Journal of Communications Technology and Electronics 53 (6) — 666-675 — 2008.
  26. В. С. Анищенко, В. В. Астахов, Т. Е. Вадивасова, Г. И. Стрелкова. Синхронизация регулярных, хаотических и стохастических колебаний. АНО «Ижевский институт компьютерных исследований» — 144с — 2008.
  27. С. В. Астахов, Т. Е. Вадивасова, В. С. Анищенко. Исследование пространственного перехода к временному хаосу в активной среде с однонаправленной связью. Известия вузов. ПНД 16 (2) — 122-130 — 2008.
  28. V. S. Anishchenko, S. V. Astakhov. Relative Kolmogorov Entropy of a Chaotic System in The Presence of Noise. International Journal of Bifurcation and Chaos 18 (09) — 2851-2855 — 2008. (10 citations).
  29. В. В. Астахов, Т. Е. Вадивасова, А. В. Хохлов. Радиофизика. Задачи и упражнения: Учеб. пособие для студентов физ. фак. и фак. нелинейных процессов. Издательство Саратовского университета, Саратов — 188с — 2008.
  30. Д. Э. Постнов, А. Н. Павлов, С. В. Астахов. Методы нелинейной динамики: Учеб. пособие для студентов физ. фак.. Издательство Саратовского университета, Саратов — 120с — 2008.
  31. В. В. Астахов, П. А. Щербаков, С. А. Коблянский, А. В. Шабунин. Синхронизация пространственно-периодических режимов цепочки генераторов с фазовой мультистабильностью. Известия вузов. ПНД 16 (4) — 65-73 — 2008.
  32. Vladimir Vladimirovich Astakhov, Sergei Vladimirovich Astakhov, E. I. Nekhodtseva, A. V. Shabunin. Influence of Time-delay in the Coupling Channel on the Complete Synchronization of Chaos. Izvestiya of Saratov University. Physics 8 (2) — 30-34 — 2008.
  33. V. S. Anishchenko, V. V. Astakhov, A. B. Neiman, T. E. Vadivasova, L. Schimansky-Geier. Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments. Springer Series in Synergetics — 446pp — 2007.
  34. V. S. Anishchenko, S. V. Astakhov. Relative entropy as a measure of the degree of mixing in noisy systems. Technical Physics Letters 33 (11) — 897-900 — 2007.
  35. A. V. Shabunin, V. V. Astakhov. Antiphase synchronization of chaos in symmetrically coupled self-sustained oscillators. Journal of Communications Technology and Electronics 52 (8) — 891-897 — 2007.
  36. В. В. Астахов, Е. И. Неходцева, С. В. Астахов, А. В. Шабунин. Влияние задержки в канале связи на режимы полной синхронизации хаотических систем с дискретным временем. Известия вузов. ПНД 15 (5) — 61-67 — 2007.
  37. А. В. Шабунин, В. В. Астахов. Диагностика фазовой синхронизации хаоса при помощи функции когерентности. Известия вузов. ПНД 15 (5) — 68-73 — 2007.
  38. В. В. Астахов, А. В. Шабунин, П. А. Стальмахов. Влияние асимметрии связи на бифуркационные механизмы разрушения противофазной синхронизации хаоса. Известия вузов. ПНД 15 (2) — 40-54 — 2007.
  39. А. В. Шабунин, В. В. Астахов. Противофазная синхронизация хаоса в симметрично связанных автогенераторах. Радиотехника и электроника 52 (8) — 961-968 — 2007.
  40. В. В. Астахов, С. А. Коблянский, А. В. Шабунин. Осцилятор Дуффинга. Издательство Саратовского университета, Саратов — 53с — 2007.
  41. A. V. Shabunin, S. M. Nikolaev, V. V. Astakhov, P. A. Stal’makhov. Complete and generalized chaotic synchronization in a system of three interacting maps. Journal of Communications Technology and Electronics 52 (1) — 69-75 — 2007.
  42. В. В. Астахов, А. В. Шабунин, П. А. Стальмахов. Противофазная синхронизация и формирование мультистабильности в симметрично связанных бистабильных системах. Известия вузов. ПНД 14 (6) — 112-123 — 2006.
  43. В.В. Астахов, А.В. Шабунин, П.А. Стальмахов. Бифуркационные механизмы разрушения противофазной синхронизации хаоса в связанных системах с дискретным временем. Известия вузов. ПНД 14 (6) — 100-111 — 2006. (1 citations).
  44. A. G. Balanov, N. B. Janson, V. V. Astakhov, P. V. E. McClintock. Role of saddle tori in the mutual synchronization of periodic oscillations. Physical Review E 72 (2) — 026214 — 2005. (12 citations).
  45. А. В. Шабунин, С. М. Николаев, В. В. Астахов. Двухпараметрический бифуркационный анализ режимов полной синхронизации хаоса в ансамбле из трех осцилляторов с дискретным временем. Известия вузов. ПНД 13 (5) — 24-39 — 2005.
  46. A. V. Shabunin, V. V. Astakhov, A. Akopov, T. E. Vadivasova. Running waves in a ring of Van-der-Pol oscillators: role of anharmonisity. International Conference Physics and Control 2005 — 2005.
  47. А. В. Шабунин, А. А. Акопов, В. В. Астахов, Т. Е. Вадивасова. Бегущие волны в дискретной ангармонической автоколебательной среде. Известия вузов. ПНД 13 (4) — 37-55 — 2005. (1 citations).
  48. S. M. Nikolaev, A. V. Shabunin, V. V. Astakhov. Multistability of partially synchronous regimes in a system of three coupled logistic maps. International Conference Physics and Control 2005 — 2005.
  49. V. S. Anishchenko, V. V. Astakhov, T. E. Vadivasova. Anishchenko-Astakhov Self-Sustained Oscillator as One of The Basic Models of Deterministic Chaos. Izvestiya of Saratov University. Physics 5 (1) — 54-68 — 2005.
  50. A. V. Shabunin, V. V. Astakhov, J. Kurths. Quantitative analysis of chaotic synchronization by means of coherence. Physical Review E 72 (1) — 016218 — 2005. (22 citations).
  51. A. Akopov, V. Astakhov, T. Vadivasova, A. Shabunin, T. Kapitaniak. Frequency synchronization of clusters in coupled extended systems. Physics Letters A 334 (2-3) — 169-172 — 2005. (15 citations).
  52. В. С. Анищенко, В. В. Астахов, Т. Е. Вадивасова, А. Б. Нейман, Г. И. Стрелкова, Л. Шиманский-Гайер. Нелинейные эффекты в хаотических и стохастических системах. АНО «Ижевский институт компьютерных исследований» — 544с — 2004.
  53. O. V. Sosnovtseva, V. V. Astakhov, A. V. Shabunin, P. A. Stalmakhov. Parametrically induced stochastic synchronization. IEEE International Workshop on Workload Characterization 2003 — 2003.
  54. В. В. Астахов, А. В. Шабунин. Радиофизический практикум по теории колебаний. Издательство ГосУНЦ "Колледж", Саратов — 147с — 2003.
  55. A. A. Akopov, T. E. Vadivasova, V. V. Astakhov, D. D. Matyushkin. Partial synchronization in inhomogeneous autooscillatory media. Technical Physics Letters 29 (8) — 629-631 — 2003. (2 citations).
  56. A. Shabunin, V. Astakhov, V. Demidov, A. Provata, F. Baras, G. Nicolis, V. Anishchenko. Modeling chemical reactions by forced limit-cycle oscillator: synchronization phenomena and transition to chaos. Chaos, Solitons and Fractals 15 (2) — 395-405 — 2003. (20 citations).
  57. W. Uhm, V. V. Astakhov, A. Akopov, S. Kim. Multistability Formation and Loss of Chaos Synchronization in Coupled Period-Doubling Systems. International Journal of Modern Physics B 17 — 22n24 — 4013-4022 — 2003. (2 citations).
  58. V. V. Astakhov, A. V. Shabunin, A. Klimshin, V. S. Anishchenko. In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps. Discrete Dynamics in Nature and Society 7 (4) — 215-229 — 2002. (8 citations).
  59. A. Shabunin, V. Demidov, V. Astakhov, V. Anishchenko. Information theoretic approach to quantify complete and phase synchronization of chaos. Physical Review E 65 (5) — 056215 — 2002. (17 citations).
  60. A.V. Shabunin, V.V. Astakhov, V.S. Anishchenko. Developing Chaos on Base of Traveling Waves in a Chain of Coupled Oscillators With Period-Doubling: Synchronization and Hierarchy of Multistability Formation. International Journal of Bifurcation and Chaos 12 (08) — 1895-1907 — 2002. (10 citations).
  61. V. Astakhov, A. Shabunin, W. Uhm, S. Kim. Multistability formation and synchronization loss in coupled Hénon maps: Two sides of the single bifurcational mechanism. Physical Review E 63 (5) — 056212 — 2001. (32 citations).
  62. A. V. Shabunin, V. V. Demidov, V. V. Astakhov, V. S. Anishchenko. The volume of information as a measure of the chaos synchronization. Technical Physics Letters 27 (6) — 476-479 — 2001. (1 citations).
  63. T. E. Vadivasova, O. V. Sosnovtseva, A. G. Balanov, V. V. Astakhov. Desynchronization in coupled systems with quasiperiodic driving. Physical Review E 61 (4) — 4618-4621 — 2000. (4 citations).
  64. V. V. Astakhov, A. V. Shabunin, V. S. Anishchenko. Chaos synchronization destruction in symmetrically coupled chaotic oscillators with period-doubling. International Conference on Control of Oscillations and Chaos, Proceedings (3) — 484-485 — 2000.
  65. V. S. Anishchenko, V. V. Astakhov, V. V. Nikolaev, A. V. Shabunin. Chaotic Synchronization in a Network of Symmetrically Coupled Oscillators. Journal of Communications Technology and Electronics 45 (2) — 179-185 — 2000. (7 citations).
  66. V. S. Anishchenko, V. V. Astakhov, V. V. Nikolaev, A. V. Shabunin. Chaotic synchronization in a network of symmetrically coupled oscillators. Radiotekhnika i Elektronika 45 (2) — 196-203 — 2000. (7 citations).
  67. В. С. Анищенко, Т. Е. Вадивасова, В. В. Астахов. Нелинейная динамика хаотических и стохастических систем. Фундаментальные основы и избранные проблемы. Издательство Саратовского университета, Саратов — 368с — 1999.
  68. V Astakhov, T Kapitaniak, A Shabunin, V Anishchenko. Non-bifurcational mechanism of loss of chaos synchronization in coupled non-identical systems. Physics Letters A 258 (2-3) — 99-102 — 1999. (5 citations).
  69. O. V. Sosnovtseva, A. G. Balanov, T. E. Vadivasova, V. V. Astakhov, E. Mosekilde. Loss of lag synchronization in coupled chaotic systems. Physical Review E 60 (6) — 6560-6565 — 1999. (23 citations).
  70. V. Astakhov, M. Hasler, T. Kapitaniak, A. Shabunin, V. Anishchenko. Effect of parameter mismatch on the mechanism of chaos synchronization loss in coupled systems. Physical Review E 58 (5) — 5620-5628 — 1998. (59 citations).
  71. Andrzej Stefański, Tomasz Kapitaniak, John Brindley, Vladimir Astakhov. Torus on-off intermittency in coupled Lorenz systems. Physical Review E 57 (1) — 1175-1177 — 1998. (7 citations).
  72. V. Astakhov, A. Shabunin, V. Anishchenko. Synchronization of Self-Oscillations by Parametric Excitation. International Journal of Bifurcation and Chaos 08 (07) — 1605-1612 — 1998. (5 citations).
  73. V. Astakhov, A. Shabunin, T. Kapitaniak, V. Anishchenko. Loss of Chaos Synchronization through the Sequence of Bifurcations of Saddle Periodic Orbits. Physical Review Letters 79 (6) — 1014-1017 — 1997. (60 citations).
  74. V.V. Astakhov, V.S. Anishchenko, T. Kapitaniak, A.V. Shabunin. Synchronization of chaotic oscillators by periodic parametric perturbations. Physica D: Nonlinear Phenomena 109 (1-2) — 11-16 — 1997. (36 citations).
  75. V. V. Astakhov, V. S. Anishchenko, A. V. Shabunin. Stabilization of in-phase motions in symmetrically coupled oscillators by parametric perturbations. International Conference on Control of Oscillations and Chaos, Proceedings (2) — 374-375 — 1997. (1 citations).
  76. V. V. Astakhov, A. V. Shabunin, A. N. Sil'chenko, G. I. Strelkova, V. S. Anishchenko. Nonlinear Dynamics of Two Chua's Circuits Coupled through a Capacitance. Journal of Communications Technology and Electronics 42 (3) — 294-301 — 1997. (1 citations).
  77. V. V. Astakhov, A. V. Shabunin, V. S. Anishchenko. Spectral Properties of Multistability Formation in Coupled Oscillators with Period Doubling. Journal of Communications Technology and Electronics 42 (8) — 907-913 — 1997. (3 citations).
  78. V. V. Astakhov, A. V. Shabunin, A. N. Sil'chenko, G. I. Strelkova, V. S. Anishchenko. Nonlinear dynamics of two Chua's circuits coupled through a capacitance. Radiotekhnika i Elektronika 42 (3) — 320-327 — 1997. (17 citations).
  79. V. V. Astakhov, A. V. Shabunin, V. S. Anishchenko. Theory of radio circuits: Spectral properties of multistability formation in coupled oscillators with period doubling. Radiotekhnika i Elektronika 42 (8) — 974-981 — 1997. (6 citations).
  80. V. V. Astakhov, A. N. Sil'chenko, G. I. Strelkova, A. V. Shabunin, V. S. Anishchenko. Chaos control and synchronization in coupled oscillators. Journal of Communications Technology and Electronics 41 (14) — 1230-1237 — 1996. (1 citations).
  81. V. V. Astakhov, A. N. Sil'chenko, G. I. Strelkova, A. V. Shabunin, V. S. Anishchenko. Chaos control and synchronization in coupled oscillators. Radiotekhnika i Elektronika 41 (11) — 1323-1331 — 1996. (12 citations).
  82. V.V. Astakhov, V.S. Anishschenko, G.I. Strelkova. Controlling chaos in the modified oscillator with inertial nonlinearity. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 42 (6) — 366-368 — 1995. (2 citations).
  83. V.V. Astakhov, V.S. Anishchenko, A.V. Shabunin. Controlling spatiotemporal chaos in a chain of the coupled logistic maps. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 42 (6) — 352-357 — 1995. (30 citations).
  84. V. V. Astakhov, B. P. Bezruchko, O. B. Pudovochkin, E. P. Seleznev. Phase multistability and oscillation establishment in nonlinear systems with period doubling. Radiotekhnika i Elektronika 38 (2) — 291-295 — 1993. (9 citations).
  85. V. V. Astakhov, B. P. Bezruchko, V. I. Ponomarenko, Ye. P. Seleznev. Multistability in a system of capacitively coupled R.F. oscillators. Soviet journal of communications technology and electronics 37 (7) — 54-57 — 1992.
  86. V. V. Astakhov, B. P. Bezruchko, V. I. Ponomarenko. Multistability and isomer classification and evolution in coupled feigenbaum systems. Radiophysics and Quantum Electronics 34 (1) — 28-33 — 1991. (4 citations).
  87. V. V. Astakhov, B. P. Bezruchko, V. I. Ponomarenko. Multistability formation, classification of isomers and their evolution in coupled Feigenbaum systems. Izvestiya VUZ. Radiofizika 34 (1) — 35-39 — 1991. (7 citations).
  88. V. V. Astakhov, B. P. Bezruchko, Ye. P. Seleznev. Study of the dynamics of a nonlinear oscillatory circuit in the presence of harmonic excitation. Soviet journal of communications technology and electronics 33 (4) — 83-90 — 1988. (2 citations).
  89. V. S. Anishchenko, T. Ye. Letchford, V. V. Astakhov. Effect of a Dissipative Nonlinearity on the Bifurcations in Autostochastic Systems. Radio Engineering and Electronic Physics (English translation of Radiotekhnika i Elektronika) 29 (8) — 32-37 — 1984.
  90. V. S. Anishchenko, V. V. Astakhov, T. E. Letchford, M. A. Safonova. Bifurcations in a three-dimensional two-parameter autonomous oscilatory system with a strange attractor. Radiophysics and Quantum Electronics 26 (2) — 135-140 — 1983. (1 citations).
  91. V. S. Anishchenko, V. V. Astakhov, T. E. Letchford, M. A. Safonova. Structure of the quasihyperbolic stochasticity in an inertial self-excited oscillator. Radiophysics and Quantum Electronics 26 (7) — 619-628 — 1983. (2 citations).
  92. V. V. Astakhov, V. S. Anishchenko. Bifurcation Phenomena in an Autostochastic Oscillator Responding to a Regular External Signal. Soviet physics. Technical physics 28 (11) — 1326-1329 — 1983. (2 citations).
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