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Prokhorov, Mikhail Dmitrievich
Statistics Math-Net.Ru
Total publications: 55
Scientific articles: 55

Number of views:
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Abstract pages:10499
Full texts:5007
Doctor of physico-mathematical sciences
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https://www.mathnet.ru/eng/person45876
List of publications on Google Scholar
https://orcid.org/0000-0003-4069-9410

Publications in Math-Net.Ru Citations
2026
1. E. I. Borovkova, E. S. Dubinkina, A. S. Karavaev, V. I. Ponomarenko, I. A. Miagkov, M. D. Prokhorov, B. P. Bezruchko, “The change in statistical characteristics of cardiovascular system signals and nonlinear measures of cardiorespiratory interaction in healthy volunteers during biofeedback tests”, Izvestiya VUZ. Applied Nonlinear Dynamics, 34:1 (2026),  34–48  mathnet
2025
2. E. I. Borovkova, D. V. Vasilieva, A. S. Karavaev, Yu. M. Ishbulatov, V. I. Ponomarenko, B. P. Bezruchko, M. D. Prokhorov, “Estimation of the stationarity time of infra-slow oscillations of brain potentials using electroencephalogram signals”, Izv. Sarat. Univ. Physics, 25:4 (2025),  474–484  mathnet
3. D. M. Ezhov, A. V. Kurbako, V. I. Ponomarenko, M. D. Prokhorov, “Modified Fitzhugh-Nagumo oscillator with spiking activity dependent on the duration of external impulse action”, Izvestiya VUZ. Applied Nonlinear Dynamics, 33:6 (2025),  917–928  mathnet
4. V. I. Ponomarenko, M. D. Prokhorov, “Reconstruction of self-oscillating systems with delay time modulation”, Izvestiya VUZ. Applied Nonlinear Dynamics, 33:1 (2025),  27–37  mathnet
2024
5. D. M. Ezhov, V. I. Ponomarenko, M. D. Prokhorov, “Collective dynamics of ensembles of radio engineering models of FitzHugh–Nagumo oscillators coupled via a hub”, Izv. Sarat. Univ. Physics, 24:4 (2024),  429–441  mathnet
6. A. V. Kurbako, A. N. Hramkov, E. I. Borovkova, E. S. Dubinkina, J. M. Ishbulatov, V. I. Ponomarenko, A. S. Karavaev, M. D. Prokhorov, “Hardware-software complex for diagnostics of a human psychophysiological state during the solving of cognitive tasks”, Izv. Sarat. Univ. Physics, 24:1 (2024),  19–29  mathnet 1
7. E. V. Navrotskaya, A. V. Kurbako, V. I. Ponomarenko, M. D. Prokhorov, “Synchronisation of the ensemble of nonidentical FitzHugh-Nagumo oscillators with memristive couplings”, Izvestiya VUZ. Applied Nonlinear Dynamics, 32:1 (2024),  96–110  mathnet 2
8. V. I. Ponomarenko, E. E. Lapsheva, A. V. Kurbako, M. D. Prokhorov, “Laminar chaos in an experimental system with quasiperiodic modulation of the delay time”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 50:11 (2024),  34–37  mathnet  elib 1
2023
9. A. M. Vahlaeva, J. M. Ishbulatov, A. S. Karavaev, V. I. Ponomarenko, M. D. Prokhorov, “Mathematical model of the photoplethysmogram for testing methods of biological signals analysis”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:5 (2023),  586–596  mathnet
2022
10. D. D. Kulminskij, V. I. Ponomarenko, M. D. Prokhorov, “Control of collective dynamics in multiplex networks of bistable time-delayed feedback oscillators with switched couplings”, Izv. Sarat. Univ. Physics, 22:4 (2022),  310–319  mathnet
11. E. V. Navrotskaya, D. D. Kulminskij, V. I. Ponomarenko, M. D. Prokhorov, “Estimation of impulse action parameters using a network of neuronlike oscillators”, Izvestiya VUZ. Applied Nonlinear Dynamics, 30:4 (2022),  495–512  mathnet 4
12. A. V. Kurbako, V. I. Ponomarenko, M. D. Prokhorov, “Adaptive control of non-synchronous oscillations in a network of identical electronic neuron-like generators”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 48:19 (2022),  43–46  mathnet  elib 2
13. D. D. Kulminskij, V. I. Ponomarenko, M. D. Prokhorov, “Laminar chaos in coupled time-delay systems”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 48:4 (2022),  11–14  mathnet  elib 1
2021
14. D. D. Kulminskij, A. V. Kurbako, V. V. Skazkina, M. D. Prokhorov, V. I. Ponomarenko, A. R. Kiselev, B. P. Bezruchko, A. S. Karavaev, “Development of a digital finger photoplethysmogram sensor”, Izv. Sarat. Univ. Physics, 21:1 (2021),  58–68  mathnet 4
15. A. V. Kurbako, D. D. Kulminskij, E. I. Borovkova, A. R. Kiselev, V. V. Skazkina, V. I. Ponomarenko, M. D. Prokhorov, B. P. Bezruchko, V. I. Gridnev, A. S. Karavaev, “Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series”, Izvestiya VUZ. Applied Nonlinear Dynamics, 29:6 (2021),  892–904  mathnet
16. V. I. Ponomarenko, D. D. Kulminskij, A. V. Andreev, M. D. Prokhorov, “Assessment of an external periodic force amplitude using a small spike neuron network in a radiophysical experiment”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 47:4 (2021),  7–10  mathnet  elib; Tech. Phys. Lett., 47:2 (2021), 162–165 15
17. D. D. Kulminskij, V. I. Ponomarenko, M. D. Prokhorov, “Cloning of chimera states in a two-layer network of bistable time-delayed feedback oscillators”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 47:2 (2021),  32–35  mathnet  elib; Tech. Phys. Lett., 47:1 (2021), 79–82 1
2020
18. V. I. Ponomarenko, E. E. Lapsheva, E. V. Navrotskaya, J. M. Ishbulatov, M. D. Prokhorov, “Communication systems with correlation receiver based on generators with dynamical chaos”, Izv. Sarat. Univ. Physics, 20:3 (2020),  202–209  mathnet
19. M. V. Sysoeva, I. V. Sysoev, V. I. Ponomarenko, M. D. Prokhorov, “Reconstructing the neuron-like oscillator equations modeled by a phase-locked system with delay from scalar time series”, Izvestiya VUZ. Applied Nonlinear Dynamics, 28:4 (2020),  397–413  mathnet 1
20. I. V. Sysoev, M. V. Sysoeva, V. I. Ponomarenko, M. D. Prokhorov, “Neural-like dynamics in a phase-locked loop system with delayed feedback”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 46:14 (2020),  36–38  mathnet  elib; Tech. Phys. Lett., 46:7 (2020), 710–712 2
21. D. D. Kulminskij, V. I. Ponomarenko, M. D. Prokhorov, “Laminar chaos in a delayed-feedback generator”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 46:9 (2020),  16–19  mathnet  elib; Tech. Phys. Lett., 46:5 (2020), 423–426 9
22. D. D. Kulminskij, V. I. Ponomarenko, I. V. Sysoev, M. D. Prokhorov, “A new approach to the experimental study of large ensembles of radioengineering oscillators with complex couplings”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 46:4 (2020),  26–29  mathnet  elib; Tech. Phys. Lett., 46:2 (2020), 175–178 8
2019
23. V. I. Ponomarenko, D. D. Kulminskij, E. I. Borovkova, M. D. Prokhorov, “Control of collective dynamics in a network of bistable time-delay systems coupled via the mean field”, Izv. Sarat. Univ. Physics, 19:4 (2019),  258–269  mathnet
24. I. V. Sysoev, V. I. Ponomarenko, M. D. Prokhorov, “Reconstruction of model equations of networks of oscillators with delay in node dynamics and couplings between them: Review”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:4 (2019),  13–51  mathnet  elib 1
2018
25. R. O. Chub, V. I. Ponomarenko, M. D. Prokhorov, “Method for information transmission using a predictive model in coupled time-delay systems”, Izv. Sarat. Univ. Physics, 18:2 (2018),  84–91  mathnet 2
26. V. I. Ponomarenko, M. D. Prokhorov, D. D. Kulminskij, “Influence of inertial properties and delay of the mean field on the collective dynamics of globally coupled bistable delayed-feedback oscillators”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:1 (2018),  4–20  mathnet  elib 1
27. V. V. Skazkina, A. R. Kiselev, E. I. Borovkova, V. I. Ponomarenko, M. D. Prokhorov, A. S. Karavaev, “Estimation of synchronization of contours of vegetative regulation of circulation from long time records”, Nelin. Dinam., 14:1 (2018),  3–12  mathnet  elib
28. I. V. Sysoev, V. I. Ponomarenko, M. D. Prokhorov, “Reconstruction of ensembles of oscillators with nonlinear time-delay feedbacks”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 44:22 (2018),  57–64  mathnet  elib; Tech. Phys. Lett., 44:11 (2018), 1024–1027 1
29. V. I. Ponomarenko, D. D. Kulminskij, M. D. Prokhorov, “An experimental study of synchronization of nonidentical neuronlike oscillators with an adaptive delayed coupling”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 44:17 (2018),  11–18  mathnet  elib; Tech. Phys. Lett., 44:9 (2018), 761–764 7
2017
30. I. V. Sysoev, V. I. Ponomarenko, M. D. Prokhorov, “Reconstruction of unidirectionally coupled time-delayed systems of first order from time series of the driven system”, Izvestiya VUZ. Applied Nonlinear Dynamics, 25:1 (2017),  84–93  mathnet
31. J. M. Ishbulatov, A. S. Karavaev, V. I. Ponomarenko, A. R. Kiselev, S. A. Sergeev, Y. P. Seleznev, B. P. Bezruchko, M. D. Prokhorov, “Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system”, Nelin. Dinam., 13:3 (2017),  381–397  mathnet  elib 9
32. V. I. Ponomarenko, D. D. Kulminskij, A. S. Karavaev, M. D. Prokhorov, “Collective dynamics of identical bistable self-sustained oscillators with delayed feedback coupled via a mean field”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 43:6 (2017),  64–71  mathnet  elib; Tech. Phys. Lett., 43:3 (2017), 309–312 3
2016
33. V. S. Khorev, A. R. Kiselev, V. A. Shvartz, E. E. Lapsheva, V. I. Ponomarenko, M. D. Prokhorov, V. I. Gridnev, A. S. Karavaev, “Investigation of delay time in interaction between the regulatory circuits in the cardiovascular system of healthy humans using modeling of phase dynamics”, Izv. Sarat. Univ. Physics, 16:4 (2016),  227–237  mathnet 1
34. A. S. Karavaev, J. M. Ishbulatov, E. I. Borovkova, D. D. Kulminskij, V. S. Khorev, A. R. Kiselev, V. I. Ponomarenko, M. D. Prokhorov, “Recovery of models of time-delay systems from short experimental time series”, Izv. Sarat. Univ. Physics, 16:1 (2016),  17–24  mathnet
35. I. V. Sysoev, D. D. Kulminskij, V. I. Ponomarenko, M. D. Prokhorov, “Reconstruction of coupling architecture and parameters of time-delayed oscillators in ensembles from time series”, Izvestiya VUZ. Applied Nonlinear Dynamics, 24:3 (2016),  21–37  mathnet
36. D. D. Kulminskij, V. I. Ponomarenko, A. S. Karavaev, M. D. Prokhorov, “Noise-resistant system of concealed information transfer on a chaotic delayed feedback oscillator with switchable delay time”, Zhurnal Tekhnicheskoi Fiziki, 86:5 (2016),  1–8  mathnet  elib; Tech. Phys., 61:5 (2016), 639–647 2
37. V. S. Khorev, M. D. Prokhorov, V. I. Ponomarenko, “Determination of the delay time and feedback strength of a semiconductor laser with optical feedback from time series of radiation intensity”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 42:3 (2016),  68–75  mathnet  elib; Tech. Phys. Lett., 42:2 (2016), 146–148 2
38. I. V. Sysoev, V. I. Ponomarenko, M. D. Prokhorov, “Determination of the coupling architecture and parameters of elements in ensembles of time-delay systems”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 42:1 (2016),  95–102  mathnet  elib; Tech. Phys. Lett., 42:1 (2016), 47–50 2
2015
39. E. I. Borovkova, A. S. Karavaev, V. I. Ponomarenko, M. D. Prokhorov, “Comparison of methods for phase synchronization diagnostics from test data modeling nonstationary signals of biological nature”, Izv. Sarat. Univ. Physics, 15:3 (2015),  36–42  mathnet 4
40. J. M. Ishbulatov, A. S. Karavaev, V. I. Ponomarenko, M. D. Prokhorov, B. P. Bezruchko, “Model of cardiovascular system autonomic regulation with a circuit of baroreflectory control of mean arterial pressure in the form of delayed-feedback oscillator”, Izv. Sarat. Univ. Physics, 15:2 (2015),  32–38  mathnet 1
41. V. I. Ponomarenko, M. D. Prokhorov, A. A. Koronovskii, O. I. Moskalenko, A. E. Khramov, “Method for generalized synchronization detecting and its application to communication systems”, Izvestiya VUZ. Applied Nonlinear Dynamics, 23:6 (2015),  4–15  mathnet
42. A. S. Karavaev, D. D. Kulminskij, V. I. Ponomarenko, M. D. Prokhorov, “An experimental system for hidden data transmission based on a delayed-feedback generator with switching of chaotic modes”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 41:1 (2015),  3–11  mathnet  elib; Tech. Phys. Lett., 41:1 (2015), 1–4 4
2014
43. M. D. Prokhorov, V. I. Ponomarenko, V. S. Khorev, “Delay time estimation from time series based on nearest neighbor method”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:1 (2014),  3–15  mathnet
44. I. V. Sysoev, M. D. Prokhorov, V. I. Ponomarenko, B. P. Bezruchko, “Determination of parameters of elements and coupling architecture in ensembles of coupled time-delay systems from their time series”, Zhurnal Tekhnicheskoi Fiziki, 84:10 (2014),  16–26  mathnet  elib; Tech. Phys., 59:10 (2014), 1434–1444 5
2013
45. M. V. Sysoeva, V. I. Ponomarenko, M. D. Prokhorov, I. V. Sysoev, “Reconstruction of time-delay systems under external periodic driving”, Nelin. Dinam., 9:4 (2013),  613–626  mathnet 1
46. V. I. Ponomarenko, M. D. Prokhorov, V. S. Khorev, “Recovering the delay time from time series applying the nearest-neighbor method”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 39:15 (2013),  32–39  mathnet  elib; Tech. Phys. Lett., 39:8 (2013), 683–686 3
2012
47. I. V. Sysoev, V. I. Ponomarenko, M. D. Prokhorov, “Reconstruction of the coupling architecture in an ensemble of coupled time-delay systems”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 38:15 (2012),  1–9  mathnet  elib; Tech. Phys. Lett., 38:8 (2012), 687–690 2
48. V. I. Ponomarenko, A. S. Karavaev, E. E. Glukhovskaya, M. D. Prokhorov, “Hidden data transmission based on time-delayed feedback system with switched delay time”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 38:1 (2012),  103–110  mathnet; Tech. Phys. Lett., 38:1 (2012), 51–54 9
2011
49. V. I. Ponomarenko, M. D. Prokhorov, E. V. Sidak, “Method of timedelay systems recovery from time series with known type of model equation”, Izv. Sarat. Univ. Physics, 11:2 (2011),  72–78  mathnet
50. A. S. Karavaev, V. I. Ponomarenko, Y. P. Seleznev, E. E. Glukhovskaya, M. D. Prokhorov, “Digital system of hidden data transmission with delayed feedback”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 37:14 (2011),  24–31  mathnet  elib; Tech. Phys. Lett., 37:7 (2011), 657–660 2
2010
51. V. I. Ponomarenko, M. D. Prokhorov, “Estimating characteristics of ensemble of coupled delay-feedback systems from their experimental time series”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 36:19 (2010),  59–67  mathnet  elib; Tech. Phys. Lett., 36:10 (2010), 902–905 1
2009
52. V. I. Ponomarenko, M. D. Prokhorov, “Estimating delay from a dynamical system response to a weak pulsed action”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 35:22 (2009),  71–78  mathnet  elib; Tech. Phys. Lett., 35:11 (2009), 1058–1061 1
2008
53. V. I. Ponomarenko, M. D. Prokhorov, “Recovering parameters of time-delay systems from transient time series”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 34:11 (2008),  62–67  mathnet  elib; Tech. Phys. Lett., 34:6 (2008), 483–485 1
54. M. D. Prokhorov, V. I. Ponomarenko, “Reconstructing model equations of the chains of coupled delay-feedback systems from time series”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 34:8 (2008),  29–35  mathnet  elib; Tech. Phys. Lett., 34:4 (2008), 331–334
55. B. P. Bezruchko, V. I. Ponomarenko, M. D. Prokhorov, D. A. Smirnov, P. A. Tass, “Modeling nonlinear oscillatory systems and diagnostics of coupling between them using chaotic time series analysis: applications in neurophysiology”, UFN, 178:3 (2008),  323–329  mathnet; Phys. Usp., 51:3 (2008), 304–310  isi  scopus 51

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