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Prokhorov Mikhail Dmitrievich

photo
- Doctor of Sciences (Physics and Mathematics).
- Professor of RAS
- Head of the Laboratory, Saratov Branch of the Institute of Radio Engineering and Electronics of Russian Academy of Sciences.

Biography

Date and place of birth: November, 30, 1968, Saratov, Russia.

Education:

- (1985) graduated from the school No.42 of extensive English learning.
- (1992) graduated from Saratov State University, Department of Physics.

Scientific degrees:

  • (1997) Candidate of Sciences (Ph.D.), (Physics and Mathematics). Thesis title: Discrete multiparameter models of nonlinear nonautonomous systems (diode resonator, coupled resonators). Scientific supervisor: Prof. Boris Bezruchko.
  • (2008) Doctor of Sciences. Thesis title: Nonlinear dynamical models of spatially extended systems (coupled map lattices, time-delay systems).

Present appointment (from 2014): Head of the Laboratory of Modelling in Nonlinear Dynamics, Saratov Branch of the Institute of Radio Engineering and Electronics of Russian Academy of Sciences.

Previous appointments:

- Engineer, Saratov Branch of the IRE of RAS, 1992-1994.
- Junior researcher, Saratov Branch of the IRE of RAS, 1994-1997.
- Post graduate student, Saratov State University, 1994-1997.
- Researcher, Saratov Branch of the IRE of RAS, 1997-1998.
- Senior Researcher, Saratov Branch of the IRE of RAS, 1998-2008.
- Leading Researcher, Saratov Branch of the IRE of RAS, 2008-2014.

M.D. Prokhorov was a Chair of the IEEE Saratov Chapter, 2014-2019. He is an Associate Editor of Russian Open Medical Journal.

Fields of speciality: Nonlinear dynamics, modelling and simulation, time series analysis, time-delay systems, application of nonlinear dynamics methods to diagnostics of the human cardiovascular system.

Grants:

- 1995-1996, 2004-2005, INTAS fellowship for young scientists.
- 1997-1999, State scientific fellowship.
- 2001, Russian Foundation for Basic Research, grant for young scientists.
- 2003-2005, 2007-2009, 2010-2012, 2013-2015, 2016-2018, 2019-2021 Russian Foundation for Basic Research, supervisor of the collective project
- 2022-2023, Russian Science Foundation, supervisor of the project

Visitings

- 1994, University of M. Curie-Sklodowska, Lublin, Poland.
- 2004, University of Potsdam, Germany.
- 2005, Swiss Federal Institute of Technology, Lausanne, Switzerland.
- 2009, Institute of Neuroscience and Medicine, Research Center Julich, Germany.
- 2010, Brunel University, West London, United Kingdom.

International conferences

- Dynamic and Stochastic Wave Phenomena, 1994, Nizhny Novgorod, Russia.
- Chaotic Oscillations and Pattern Formation, 1994, 1998, 2001, 2004, 2007, 2010, Saratov, Russia.
- Int. School in Nonlinear Science (ISNS-95), Nizhny Novgorod, Russia.
- Int. Conference on Nonlinear Dynamics and Chaos (ICND-96), Saratov, Russia.
- Nonlinear Dynamics of Electronic Systems:
  • NDES'97, Moscow, Russia,
  • NDES'98, Budapest, Hungary,
  • NDES 2001, Delft, The Netherlands,
  • NDES 2015, Como, Italy,
  • NDES 2018, Acireale, Italy.
- Nonlinear Theory and its Applications:
  • NOLTA'98, Crans-Montana, Switzerland,
  • NOLTA 2000, Dresden, Germany,
  • NOLTA 2014, Luzern, Switzerland,
  • NOLTA 2015, Hong Kong,
  • NOLTA 2017, Cancun, Mexico.
- Chaotic Modeling and Simulation International Conference:
  • CHAOS 2014, Lisbon, Portugal,
  • CHAOS 2017, Barcelona, Spain,
  • CHAOS 2018, Rome, Italy.
- Synchronization: Theory and Application, 2002, B. Yalta, Crimea, Ukraine.
- European Dynamics Days 2003, Palma de Mallorca, Spain.
- Detecting and Processing Regularities in High Throughput Biological Data, 2005, Piscataway, USA.
- Meeting of Nobel Laureates, 2005, Lindau, Germany.
- Dynamical Chaos and its Applications, 2007, Zvenigorod, Russia
- International Nonlinear Sciences Conference (INSC), 2008, Tokyo, Japan
- International Conference on Biological Systems Engineering, 2009, Singapore
- Fundamental and Applied Aspects of Nonlinear Dynamics and Chaos, Besancon, 2010, France
- International Conference on Biomedical Engineering, 2011, Venice, Italy
- Coordinated activity in physiology: measures, concepts and controversies, 2012, Toronto, Canada
- International Conference on Information and Communications Technologies, 2013, Beijing, China
- IEEE/ACIS International Conference on Computer and Information Science, 2015, Las Vegas, USA
- Complex Dynamical Systems and Synchronization in Neuroscience, 2015, Saratov, Russia
- International Conference on Digital Information Processing, Electronics, and Wireless Communications, 2016, Dubai, UAE
- International Conference on Telecommunications and Signal Processing (TSP), 2016, Vienna, Austria
- International Conference on the Science of Electrical Engineering, 2016, Eilat, Israel
- Telecommunications Forum (TELFOR), 2016, Belgrade, Serbia
- Dynamics of Complex Networks and their Application in Intelligent Robotics (DCNAIR), 2017, 2018, Saratov, Russia; 2020, Innopolis, Russia; 2022, Kaliningrad, Russia
- International Conference in Engineering Applications (ICEA), 2019, Ponta Delgada, Portugal
- International Scientific Conference on Physics and Control (PhysCon), 2019, Innopolis, Russia
- International Conference on Time Series and Forecasting (ITISE), 2019, Granada, Spain
- International Workshop on Dynamical Methods in Data-based Exploration of Complex Systems (DYMECS), 2019, Dresden, Germany

Mikhail Prokhorov has more than 100 scientific papers in referred journals.

Main papers

  1. Prokhorov M.D., Borovkova E.I., Hramkov A.N., Dubinkina E.S., Ponomarenko V.I., Ishbulatov Y.M., Kurbako A.V., Karavaev A.S. “Changes in the power and coupling of infra-slow oscillations in the signals of EEG leads during stress-inducing cognitive tasks”, Applied Sciences, 2023, V.13, N.14, 8390.
  2. Borovkova E.I., Ponomarenko V.I., Karavaev A.S., Dubinkina E.S., Prokhorov M.D. “Method of extracting the instantaneous phases and frequencies of respiration from the signal of a photoplethysmogram”, 2023, Mathematics, V.11, N.24, 4903.
  3. Ishbulatov Y.M., Gridnev V.I., Ponomarenko V.I., Ezhov D.M., Prokhorov M.D., Kiselev A.R., Karavaev A.S. “Problem of power spectra estimation in application to the analysis of heart rate variability”, European Physical Journal Special Topics, 2023, V.232, N.5, P.615–624.
  4. Borovkova E.I., Hramkov A.N., Dubinkina E.S., Ponomarenko V.I., Bezruchko B.P., Ishbulatov Y.M., Kurbako A.V., Karavaev A.S., Prokhorov M.D. “Biomarkers of the psychophysiological state during the cognitive tasks estimated from the signals of the brain, cardiovascular and respiratory systems”, European Physical Journal Special Topics, 2023, V.232, N.5, P.625–633.
  5. Kurkin S.A., Kulminskiy D.D., Ponomarenko V.I., Prokhorov M.D., Astakhov S.V., Hramov A.E. “Central pattern generator based on self-sustained oscillator coupled to a chain of oscillatory circuits”, Chaos, 2022, V.32, 033117.
  6. Borovkova E.I., Prokhorov M.D., Kiselev A.R., Hramkov A.N., Mironov S.A., Agaltsov M.V., Ponomarenko V.I., Karavaev A.S., Drapkina O.M., Penzel T. “Directional couplings between the respiration and parasympathetic control of the heart rate during sleep and wakefulness in healthy subjects at different ages”, Frontiers in Network Physiology, 2022, V.2, 942700.
  7. Karavaev A.S., Skazkina V.V., Borovkova E.I., Prokhorov M.D., Hramkov A.N., Ponomarenko V.I., Runnova A.E., Gridnev V.I., Kiselev A.R., Kuznetsov N.V., Chechurin L.S., Penzel T. “Synchronization of the processes of autonomic control of blood circulation in humans is different in the awake state and in sleep stages”, Frontiers in Neuroscience, 2022, V.15, 791510.
  8. Ishbulatov Y.M., Bibicheva T.S., Gridnev V.I., Prokhorov M.D., Ogneva M.V., Kiselev A.R., Karavaev A.S. “Contribution of cardiorespiratory coupling to the irregular dynamics of the human cardiovascular system”, Mathematics, 2022, V.10, N.7, 1088.
  9. Kulminskiy D.D., Ponomarenko V.I., Prokhorov M.D. “Laminar chaos in coupled time-delay systems”, Tech. Phys. Lett., 2022, V.48, N.2, P.54–57.
  10. Kurbako A.V., Ponomarenko V.I., Prokhorov M.D. “Adaptive control of non-synchronous oscillations in a network of identical electronic neuron-like generators”, Tech. Phys. Lett., 2022, V.48, N.10, P.38–41.
  11. Prokhorov M.D., Karavaev A.S., Ishbulatov Y.M., Ponomarenko V.I., Kiselev A.R., Kurths J. “Interbeat interval variability versus frequency modulation of heart rate”, Phys. Rev. E, 2021, V.103, 042404.
  12. Bezruchko B.P., Ponomarenko V.I., Smirnov D.A., Sysoev I.V., Prokhorov M.D. “Class-oriented techniques for reconstruction of dynamics from time series”, Chaos, Solitons & Fractals, 2021, V.148, 110972.
  13. Ponomarenko V.I., Karavaev A.S., Borovkova E.I., Hramkov A.N., Kiselev A.R., Prokhorov M.D., Penzel T. “Decrease of coherence between the respiration and parasympathetic control of the heart rate with aging”, Chaos, 2021, V.31, 073105.
  14. Sysoev I.V., Kulminskiy D.D., Ponomarenko V.I., Prokhorov M.D. “Identification of couplings in adaptive dynamical networks of time-delayed feedback oscillators”, Mathematics, 2021, V.9, N.18, 2200.
  15. Karavaev A.S., Ishbulatov Y.M., Prokhorov M.D., Ponomarenko V.I., Kiselev A.R., Runnova A.E., Hramkov A.N., Semyachkina-Glushkovskaya O.V., Kurths J., Penzel T. “Simulating dynamics of circulation in the awake state and different stages of sleep using non-autonomous mathematical model with time delay”, Frontiers in Physiology, 2021, V.11, 612787.
  16. Sysoeva M.V., Sysoev I.V., Prokhorov M.D., Ponomarenko V.I., Bezruchko B.P. “Reconstruction of coupling structure in network of neuron-like oscillators based on a phase-locked loop”, Chaos, Solitons & Fractals, 2021, V.142, 110513.
  17. Karavaev A.S., Borovik A.S., Borovkova E.I., Orlova E.A., Simonyan M.A., Ponomarenko V.I., Skazkina V.V., Gridnev V.I., Bezruchko B.P., Prokhorov M.D., Kiselev A.R. “Low-frequency component of photoplethysmogram reflects the autonomic control of blood pressure”, Biophysical Journal, 2021, V.120, N.13, P.2657–2664.
  18. Kulminskiy D.D., Ponomarenko V.I., Prokhorov M.D. “Cloning of chimera states in a two-layer network of bistable time-delayed feedback oscillators”, Tech. Phys. Lett., 2021, V.47, N.1, P.79–82.
  19. Ponomarenko V.I., Kulminskiy D.D., Andreev A.V., Prokhorov M.D. “Assessment of an external periodic force amplitude using a small spike neuron network in a radiophysical experiment”, Tech. Phys. Lett., 2021, V.47, N.2, P.162–165.
  20. Sysoev I.V., Ponomarenko V.I., Bezruchko B.P., Prokhorov M.D. “Reconstruction of parameters and unobserved variables of a semiconductor laser with optical feedback from intensity time series”, Phys. Rev. E, 2020, V.101, 042218.
  21. Kiselev A.R., Borovkova E.I., Shvartz V.A., Skazkina V.V., Karavaev A.S., Prokhorov M.D., Ispiryan A.Y., Mironov S.A., O.L. Bockeria “Low-frequency variability in photoplethysmographic waveform and heart rate during on-pump cardiac surgery with or without cardioplegia”, Scientific Reports, 2020, V.10, 2118.
  22. Ishbulatov Y.M., Karavaev A.S. Kiselev A.R., Simonyan M.A., Prokhorov M.D., Ponomarenko V.I., Mironov S.A., Gridnev V.I., Bezruchko B.P., Shvartz V.A. “Mathematical modeling of the cardiovascular autonomic control in healthy subjects during a passive head-up tilt test”, Scientific Reports, 2020, V.10, 16525.
  23. Kul’minskii D.D., Ponomarenko V.I., Sysoev I.V., Prokhorov M.D. “A new approach to the experimental study of large ensembles of radioengineering oscillators with complex couplings”, Tech. Phys. Lett., 2020, V.46, N.2, P.175–178.
  24. Kul’minskii D.D., Ponomarenko V.I., Prokhorov M.D. “Laminar chaos in a delayed-feedback generator”, Tech. Phys. Lett., 2020, V.46, N.5, P.423–426.
  25. Sysoev I.V., Sysoeva M.V., Ponomarenko V.I., Prokhorov M.D. “Neural-like dynamics in a phase-locked loop system with delayed feedback”, Tech. Phys. Lett., 2020, V.46, N.7, P.710–712.
  26. Khorev V.S., Sysoev I.V., Ponomarenko V.I., Bezruchko B.P., Prokhorov M.D. “Reconstruction of systems with delays and hidden variables”, Radiophysics and Quantum Electronics, 2020, V.62, N.9, P.637–649.
  27. Karavaev A.S., Ishbulatov Yu.M., Ponomarenko V.I., Bezruchko B.P., Kiselev A.R., Prokhorov M.D. “Autonomic control is a source of dynamical chaos in the cardiovascular system”, Chaos, 2019, V.29, 121101.
  28. Kulminskiy D.D., Ponomarenko V.I., Prokhorov M.D., Hramov A.E. “Synchronization in ensembles of delay-coupled nonidentical neuronlike oscillators”, Nonlinear Dynamics, 2019, V.98, N.1, P.735–748.
  29. Sysoev I.V., Ponomarenko V.I., Prokhorov M.D. “Reconstruction of ensembles of nonlinear neurooscillators with sigmoid coupling function”, Nonlinear Dynamics, 2019, V.95, N.3, P.2103–2116.
  30. Karavaev A.S., Borovkova E.I., Runnova A.E., Kiselev A.R., Zhuravlev M.O., Ponomarenko V.I., Prokhorov M.D., Koronovskii A.A., Hramov A.E. “Experimental observation of the self-oscillatory dynamics of the regulation contours of the cardiovascular system”, Radiophysics and Quantum Electronics, 2019, V.61, N.8–9, P.681–688.
  31. Prokhorov M.D., Kulminskiy D.D., Borovkova E.I., Karavaev A.S., Ponomarenko V.I., Kiselev A.R., Bezruchko B.P. “Mobile device for monitoring of cardiovascular system state based on assessment of synchronization of its low-frequency rhythms”, The Open Hypertension Journal, 2018, V.10, P.46–51.
  32. Karavaev A.S., Kiselev A.R., Runnova A.E., Zhuravlev M.O., Borovkova E.I., Prokhorov M.D., Ponomarenko V.I., Pchelintseva S.V., Efremova T.Yu., Koronovskii A.A., Hramov A.E. “Synchronization of infra-slow oscillations of brain potentials with respiration”, Chaos, 2018, V.28, 081102.
  33. Sysoev I.V., Ponomarenko V.I., Prokhorov M.D. “Reconstruction of ensembles of oscillators with nonlinear time-delay feedbacks”, Tech. Phys. Lett., 2018, V.44, N.11, P.1024–1027.
  34. Ponomarenko V.I., Kul’minskii D.D., Prokhorov M.D. “An experimental study of synchronization of nonidentical neuronlike oscillators with an adaptive delayed coupling”, Tech. Phys. Lett., 2018, V.44, N.9, P.761–764.
  35. Ponomarenko V.I., Kulminskiy D.D., Prokhorov M.D. "Chimeralike states in networks of bistable time-delayed feedback oscillators coupled via the mean field", Phys. Rev. E, 2017, V.96, 022209.
  36. Bockeria O.L., Shvartz V.A., Akhobekov A.A., Glushko L.A., Le T.G., Kiselev A.R., Prokhorov M.D., Bockeria L.A. "Statin therapy in the prevention of atrial fibrillation in the early postoperative period after coronary artery bypass grafting: A meta-analysis", Cor et Vasa, 2017, V.59, N.3, P.e266-e271.
  37. Ponomarenko V.I., Kul'minskii D.D., Karavaev A.S., Prokhorov M.D. "Collective dynamics of identical bistable self-sustained oscillators with delayed feedback coupled via a mean field", Tech. Phys. Lett., 2017, V.43, N.3, P.309-312.
  38. Prokhorov M.D., Ponomarenko V.I., Kulminskiy D.D., Koronovskii A.A., Moskalenko O.I., Hramov A.E. "Resistant to noise chaotic communication scheme exploiting the regime of generalized synchronization", Nonlinear Dynamics, 2017, V.87, N.3, P.2039-2050.
  39. Karavaev A.S., Ishbulatov Yu.M., Kiselev A.R., Ponomarenko V.I., Prokhorov M.D., Mironov S.A., Shvartz V.A., Gridnev V.I., Bezruchko B.P. "A model of human cardiovascular system containing a loop for the autonomic control of mean blood pressure", Human Physiology, 2017, V.43, N.1, P.61-70.
  40. Sysoev I.V., Ponomarenko V.I., Kulminskiy D.D., Prokhorov M.D. "Recovery of couplings and parameters of elements in networks of time-delay systems from time series", Phys. Rev. E, 2016, V.94, 052207.
  41. Kiselev A.R., Mironov S.A., Karavaev A.S., Kulminskiy D.D., Skazkina V.V., Borovkova E.I., Shvartz V.A., Ponomarenko V.I., Prokhorov M.D. "A comprehensive assessment of cardiovascular autonomic control using photoplethysmograms recorded from the earlobe and fingers", Physiological Measurement, 2016, V.37, N.4, P.580-595.
  42. Bockeria O.L., Shvartz V.A., Akhobekov A.A., Kiselev A.R., Prokhorov M.D., Golukhova E.Z., Bockeria L.A. "Statin therapy in the primary prevention of early atrial fibrillation after coronary artery bypass grafting", Indian Heart Journal, 2016, V.68, N.6, P.792-797.
  43. Koronovskii A.A., Moskalenko O.I., Ponomarenko V.I., Prokhorov M.D., Hramov A.E. “Binary generalized synchronization”, Chaos, Solitons & Fractals, 2016, V.83, P.133–139.
  44. Khorev V.S., Prokhorov M.D., Ponomarenko V.I. “Determination of the delay time and feedback strength of a semiconductor laser with optical feedback from time series of radiation intensity”, Tech. Phys. Lett., 2016, V.42, N.2, P.146–148.
  45. Sysoev I.V., Ponomarenko V.I., Prokhorov M.D. “Determination of the coupling architecture and parameters of elements in ensembles of time-delay systems”, Tech. Phys. Lett., 2016, V.42, N.1, P.47–50.
  46. Karavaev A.S., Ishbulatov Yu.M., Ponomarenko V.I., Prokhorov M.D., Gridnev V.I., Bezruchko B.P., Kiselev A.R. “Model of human cardiovascular system with a loop of autonomic regulation of the mean arterial pressure”, Journal of the American Society of Hypertension, 2016, V.10, N.3, P.235–243.
  47. Gridnev V.I., Kiselev A.R., Posnenkova O.M., Popova Yu.V., Dmitriev V.A., Prokhorov M.D., Dovgalevsky P.Ya., Oschepkova E.V. “Objectives and design of the Russian Acute Coronary Syndrome Registry (RusACSR)”, Clinical Cardiology, 2016, V.39, N.1, P.1–8.
  48. Ishbulatov Y.M., Karavaev A.S., Ponomarenko V.I., Prokhorov M.D., Bezruchko B.P. “Comparing methods for estimating parameters in a system of baroreflex control over mean arterial pressure”, Bulletin of the Russian Academy of Sciences: Physics, 2016, V.80, N.2, P.180–185.
  49. Kiselev A.R., Shvartz V.A., Karavaev A.S., Mironov S.A., Ponomarenko V.I., Gridnev V.I., Prokhorov M.D. “Correlations between cardiovascular autonomic control indices during the two-hour immobilization test in healthy subjects”, The Open Cardiovascular Medicine Journal, 2016, V.10, P.35–43.
  50. Karavaev A.S., Kulminskiy D.D., Ponomarenko V.I., Prokhorov M.D. “An experimental communication scheme based on chaotic time-delay system with switched delay”, Int. J. of Bifurcation and Chaos, 2015, V.25, N.10, 1550134.
  51. Neufeld I.W., Kiselev A.R., Karavaev A.S., Prokhorov M.D., Gridnev V.I., Ponomarenko V.I., Bezruchko B.P. “Autonomic control of cardiovascular system in pre- and postmenopausal women: a cross-sectional study”, Journal of the Turkish-German Gynecological Association, 2015, V.16, N.1, P.11–20.
  52. Sysoev I.V., Prokhorov M.D., Ponomarenko V.I., Bezruchko B.P. "Reconstruction of ensembles of coupled time-delay systems from time series", Phys. Rev. E, 2014, V.89, 062911.
  53. Sysoev I.V., Prokhorov M.D., Ponomarenko V.I., Bezruchko B.P. "Determination of parameters of elements and coupling architecture in ensembles of coupled time-delay systems from their time series", Tech. Phys., 2014, V.59, N.10, P.1434-1444.
  54. Posnenkova O.M., Kiselev A.R., Popova Y.V., Gridnev V.I., Prokhorov M.D., Dovgalevsky P.Y. "Impact of patient-related and treatment-related factors on in-hospital mortality of patients with ST-elevation myocardial infarction: Data of Russian Acute Coronary Syndrome Registry", Cor et Vasa, 2014, V.56, N.3, P.e217-e227.
  55. Kiselev A.R., Gridnev V.I., Prokhorov M.D., Karavaev A.S., Posnenkova O.M., Ponomarenko V.I., Bezruchko B.P. "Effects of antihypertensive treatment on cardiovascular autonomic control: a prospective study", The Anatolyan Journal of Cardiology, 2014, V.14, N.8, P.701-710.
  56. Ponomarenko V.I., Prokhorov M.D., Karavaev A.S., Kulminskiy D.D. "An experimental digital communication scheme based on chaotic time-delay system", Nonlinear Dynamics, 2013, V.74, N.4, P.1013-1020.
  57. Prokhorov M.D., Ponomarenko V.I., Khorev V.S. "Recovery of delay time from time series based on the nearest neighbor method", Phys. Lett. A, 2013, V.377, N.43, P.3106-3111.
  58. Ponomarenko V.I., Prokhorov M.D., Karavaev A.S., Kiselev A.R., Gridnev V.I., Bezruchko B.P. "Synchronization of low-frequency oscillations in the cardiovascular system: Application to medical diagnostics and treatment", Eur. Phys. J. Special Topics, 2013, V.222, N.10, P.2687-2696.
  59. Hramov A.E., Koronovskii A.A., Moskalenko O.I., Zhuravlev M.O., Ponomarenko V.I., Prokhorov M.D. "Intermittency of intermittencies", Chaos, 2013, V.23, 033129.
  60. Karavaev A.S., Kiselev A.R., Gridnev V.I., Borovkova E.I., Prokhorov M.D., Posnenkova O.M., Ponomarenko V.I., Bezruchko B.P., Shvartz V.A. "Phase and frequency locking of 0.1-Hz oscillations in heart rate and baroreflex control of blood pressure by breathing of linearly varying frequency as determined in healthy subjects", Human Physiology, 2013, V.39, N.4, P.416-425.
  61. Sysoev I.V., Ponomarenko V.I., Prokhorov M.D. "Reconstruction of the coupling architecture in an ensemble of coupled time-delay systems", Tech. Phys. Lett., 2012, V.38, N.8, P.687-690.
  62. Ponomarenko V.I., Karavaev A.S., Glukhovskaya E.E., Prokhorov M.D. "Hidden data transmission based on time-delayed feedback system with switched delay time", Tech. Phys. Lett., 2012, V.38, N.1, P.51-54.
  63. Kiselev A.R., Gridnev V.I., Prokhorov M.D., Karavaev A.S., Posnenkova O.M., Ponomarenko V.I., Bezruchko B.P. "Selection of optimal dose of beta-blocker treatment in myocardial infarction patients basing on changes in synchronization between 0.1 Hz oscillations in heart rate and peripheral microcirculation", Journal of Cardiovascular Medicine, 2012, V.13, N.8, P.491-498.
  64. Kiselev A.R., Khorev V.S., Gridnev V.I., Prokhorov M.D., Karavaev A.S., Posnenkova O.M., Ponomarenko V.I., Bezruchko B.P., Shvartz V.A. "Interaction of 0.1-Hz oscillations in heart rate variability and distal blood flow variability", Human Physiology, 2012, V.38, N.3, P.303-309.
  65. Kiselev A.R., Gridnev V.I., Prokhorov M.D., Karavaev A.S., Posnenkova O.M., Ponomarenko V.I., Bezruchko B.P., Shvartz V.A. "Evaluation of 5-year risk of cardiovascular events in patients after acute myocardial infarction using synchronization of 0.1-Hz rhythms in cardiovascular system", Annals of Noninvasive Electrocardiology, 2012, V.17, N.3, P.204-213.
  66. Karavaev A.S., Ponomarenko V.I., Seleznev E.P., Glukhovskaya E.E., Prokhorov M.D. "Digital system of hidden data transmission with delayed feedback", Tech. Phys. Lett., 2011, V.37, N.7, P.657-660.
  67. Borovkova Ye.I., Karavaev A.S., Ponomarenko V.I., Prokhorov M.D., Bezruchko B.P. "Uncovering frequency locking for systems affected by chirping", Bulletin of the Russian Academy of Sciences. Physics, 2011, V.75, N.12, P.1601-1604.
  68. Kiselev A.R., Gridnev V.I., Karavaev A.S., Posnenkova O.M., Prokhorov M.D., Ponomarenko V.I., Bezruchko B.P. “The dynamics of 0.1 Hz oscillations synchronization in cardiovascular system during the treatment of acute myocardial infarction patients”, Applied Medical Informatics, 2011, V.28, N.1, P.1–8.
  69. Ponomarenko V.I., Prokhorov M.D. “Estimating characteristics of ensemble of coupled delay-feedback systems from their experimental time series”, Tech. Phys. Lett., 2010, V.36, N.10, P.902–905.
  70. Prokhorov M.D., Ponomarenko V.I. “Reconstruction of time-delay systems using small impulsive disturbances”, Phys. Rev. E, 2009, V.80, 066206.
  71. Karavaev A.S., Prokhorov M.D., Ponomarenko V.I., Kiselev A.R., Gridnev V.I., Ruban E.I., Bezruchko B.P. "Synchronization of low-frequency oscillations in the human cardiovascular system", Chaos, 2009, V.19, 033112.
  72. Ponomarenko V.I., Prokhorov M.D. "Recovery of systems with a linear filter and nonlinear delay feedback in periodic regimes", Phys. Rev. E, 2008, V.78, 066207.
  73. Bezruchko B.P., Ponomarenko V.I., Prokhorov M.D., Seleznev Ye.P. "Violation of the final states probability symmetry for experimental time-delay system and coupled maps with time-varying parameters", Int. J. of Bifurcation and Chaos, 2008, V.18, N.6, P.1689-1695.
  74. Prokhorov M.D., Ponomarenko V.I. "Reconstructing model equations of the chains of coupled delay-feedback systems from time series", Tech. Phys. Lett., 2008, V.34, N.4, P.331-334.
  75. Prokhorov M.D., Ponomarenko V.I. "Encryption and decryption of information in chaotic communication systems governed by delay-differential equations", Chaos, Solitons & Fractals, 2008, V.35, N.5, P.871-877.
  76. Ponomarenko V.I., Prokhorov M.D. "Recovering parameters of time-delay systems from transient time series", Tech. Phys. Lett., 2008, V.34, N.6, P.483-485.
  77. Koronovskii A.A., Ponomarenko V.I., Prokhorov M.D., Hramov A.E. "Method of studying the synchronization of self-sustained oscillations using continuous wavelet analysis of univariant data", Tech. Phys., 2007, V.52, N.9, P.1106-1116.
  78. Hramov A.E., Koronovskii A.A., Ponomarenko V.I., Prokhorov M.D. "Detection of synchronization from univariate data using wavelet transform", Phys. Rev. E, 2007, V.75, 056207.
  79. Kiselev A.R., Bespyatov A.B., Posnenkova O.M., Gridnev V.I., Ponomarenko V.I., Prokhorov M.D., Dovgalevskii P.Ya. "Internal synchronization of the main 0.1-Hz rhythms in the autonomic control of the cardiovascular system", Human Physiology, 2007, V.33, N.2, P.188-193.
  80. Koronovskii A.A., Ponomarenko V.I., Prokhorov M.D., Hramov A.E. "Diagnostics of the synchronization of self-oscillatory systems by an external force with varying frequency with the use of wavelet analysis", J. of Communications Technology & Electronics, 2007, V.52, N.5, P.544-554.
  81. Ponomarenko V.I., Prokhorov M.D. "Evaluating the order and reconstructing the model equations of a time-delay system", Tech. Phys. Lett., 2006, V.32,N. 9, P.768-771.
  82. Hramov A.E., Koronovskii A.A., Ponomarenko V.I., Prokhorov M.D. "Detecting synchronization of self-sustained oscillators by external driving with varying frequency", Phys. Rev. E, 2006, V.73, 026208.
  83. Prokhorov M.D., Ponomarenko V.I. "Estimation of coupling between time-delay systems from time series", Phys. Rev. E, 2005, V.72, 016210.
  84. Prokhorov M.D., Ponomarenko V.I., Karavaev A.S., Bezruchko B.P. "Reconstruction of time-delayed feedback systems from time series", Physica D, 2005, V.203, N.3-4, P.209-223.
  85. Ponomarenko V.I., Prokhorov M.D., Bespyatov A.B., Bodrov M.B., Gridnev V.I. "Deriving main rhythms of the human cardiovascular system from the heartbeat time series and detecting their synchronization", Chaos, Solitons & Fractals, 2005, V.23, N.4, P.1429-1438.
  86. Ponomarenko V.I., Prokhorov M.D., Karavaev A.S., Bezruchko B.P. "Recovery of parameters of delayed-feedback systems from chaotic time series", JETP, 2005, V.100, N.3, P.457-467.
  87. Ponomarenko V.I., Prokhorov M.D., Koryukin I.V. "Estimating the parameters of semiconductor optical-feedback lasers from time series", Tech. Phys. Lett., 2005, V.31, N.11, P.939-942.
  88. Ponomarenko V.I., Prokhorov M.D. "Recovering parameters of the Ikeda equation from noisy time series", Tech. Phys. Lett., 2005, V.31, N.3, P.252-254.
  89. Ponomarenko V.I., Prokhorov M.D. "Recovery of equations of coupled time-delay systems from time series", Tech. Phys. Lett., 2005, V.31, N.1, P.64-67.
  90. Prokhorov M.D., Bodrov M.B., Ponomarenko V.I., Gridnev V.I., Bespyatov A.B. "Rhythm syn-chronization in human cardiovascular system from the time sequence of R-R intervals", Biophysics, 2005, V.50, N.5, P.121-125.
  91. Ponomarenko V.I., Prokhorov M.D. "Coding and recovery of information masked by the chaotic signal of a time-delay system", J. of Communications Technology & Electronics, 2004, V.49, N.9, P.1031-1037.
  92. Prokhorov M.D., Ponomarenko V.I. "Recovery of time-delay systems with two delays from time series", Nonlin. Phen. in Compl. Syst., 2004, V.7, N.4, P.400-404.
  93. Prokhorov M.D., Ponomarenko V.I., Karavaev A.S. "Equations of a time-delay system under exter-nal action reconstructed from time series", Tech. Phys. Lett., 2004, V.30, N.1, P.78-81.
  94. Prokhorov M.D., Ponomarenko V.I., Gridnev V.I., Bodrov M.B., Bespyatov A.B. "Synchronization between main rhythmic processes in the human cardiovascular system", Phys. Rev. E, 2003, V.68, 041913.
  95. Bezruchko B.P., Prokhorov M.D., Seleznev Ye.P. "Oscillation types, multistability, and basins of attractors in symmetrically coupled period-doubling systems", Chaos, Solitons & Fractals, 2003, V.15, N.4, P.695-711.
  96. Bespyatov A.B., Bodrov M.B., Gridnev V.I., Ponomarenko V.I., Prokhorov M.D. "Experimental observation of synchronization between rhythms of cardiovascular system", Nonlin. Phen. in Compl. Syst., 2003, V.6, N.4, P.885-893.
  97. Ponomarenko V.I., Prokhorov M.D. "Extracting information masked by the chaotic signal of a time-delay system", Phys. Rev. E, 2002, V.66, N.2, 026215.
  98. Ponomarenko V.I., Prokhorov M.D. "Separation of the informative component from a chaotic signal of a time-delay system", Tech. Phys. Lett., 2002, V.28, N.8, P.680-683.
  99. Bezruchko B.P., Seleznev Ye.P., Ponomarenko V.I., Prokhorov M.D., Smirnov D.A., Dikanev T.V., Sysoev I.V., Karavaev A.S. "Special approaches to global reconstruction of equations from time series", Izv. Vyssh. Uchebn. Zaved., Applied Nonlinear Dynamics, 2002, V.10, N.3, P.137-158.
  100. Bezruchko B.P., Karavaev A.S., Ponomarenko V.I., Prokhorov M.D. "Reconstruction of time-delay systems from chaotic time series", Phys. Rev. E, 2001, V.64, N.5, 056216.
  101. Karavaev A.S., Ponomarenko V.I., Prokhorov M.D. "Reconstruction of scalar time-delay system models", Tech. Phys. Lett., 2001, V.27, N.5, P.414-418.
  102. Bezruchko B.P., Prokhorov M.D. "Controlling spatiotemporal chaos in a chain of bistable oscillators", Tech. Phys. Lett., 1999, V.25, N.6, P.484-486.
  103. Prokhorov M.D., Smirnov D.A. "Empirical discrete model of the diode oscillating loop", J. of Communications Technology & Electronics, 1996, V.41, N.14, P.1245-1247.
  104. Bezruchko B.P., Prokhorov M.D., Seleznev E.P. "Structural features of the parameter space of two coupled nonautonomous nonisochronous oscillators", Tech. Phys. Lett., 1996, V.22, N.3, P.256-258.
  105. Bezruchko B.P., Prokhorov M.D., Seleznev E.P. "Multiparameter model of a dissipative nonlinear oscillator in the form of one-dimensional map", Chaos, Solitons & Fractals, 1995, V.5, N.11, P.2095-2107.
  106. Bezruchko B.P., Prokhorov M.D., Seleznev E.P. "Model of a dissipative nonlinear oscillator in the form of a one-dimensional map with three parameters", Tech. Phys. Lett., 1994, V.20, N.6, P.508-510.

Postal address

Saratov Branch of the Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov, 410019, Russia.

e-mail: mdprokhorov@yandex.ru
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