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Kuznetsov, Alexander Petrovich
Statistics Math-Net.Ru
Total publications: 53
Scientific articles: 49

Number of views:
This page:3079
Abstract pages:15413
Full texts:6666
Professor
Doctor of physico-mathematical sciences (1996)
Speciality: 01.01.03 (Mathematical physics)
E-mail:
Keywords: chaos, attractor, bifurcation
   
Main publications:
  • A.P.Kuznetsov, S.P.Kuznetsov, N.M.Ryskin. Nelineinye kolebaniya, 2-e izd. Moskva: Fizmatlit, 2005, 292s. A.P. Kuznetsov, E.P. Seleznev, N.V. Stankevich. Nonautonomous dynamics of coupled van der Pol oscillators in the regime of amplitude death. Communications in Nonlinear Science and Numerical Simulation, 17, 2012, No 9, 3740-3746. A.P. Kuznetsov, E. Mosekilde and L.V. Turukina. Synchronization in systems with bimodal dynamics. Physica A: Statistical Mechanics and its Applications, 371, 2006, No 2, 280-292.

https://www.mathnet.ru/eng/person63138
List of publications on Google Scholar
https://orcid.org/0000-0001-5528-1979

Publications in Math-Net.Ru Citations
2025
1. A. P. Kuznetsov, Yu. V. Sedova, “Ensembles of four discrete phase oscillators”, Izv. Sarat. Univ. Physics, 25:2 (2025),  134–146  mathnet
2. A. P. Kuznetsov, L. V. Turukina, “On the interaction of a system with multifrequency oscillations with a chaotic generator”, Izvestiya VUZ. Applied Nonlinear Dynamics, 33:6 (2025),  785–803  mathnet
3. A. P. Kuznetsov, Yu. V. Sedova, “Quasi-periodic resonances and the Landau–Hopf scenario”, Zhurnal Tekhnicheskoi Fiziki, 95:11 (2025),  2080–2087  mathnet  elib
4. A. P. Kuznetsov, L. V. Turukina, “Coupled chaotic generator and multi-frequency quasi-periodic system”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 51:8 (2025),  45–49  mathnet  elib
2023
5. A. P. Kuznetsov, I. R. Sataev, Yu. V. Sedova, “Analysis of three non-identical josephson junctions by the method of Lyapunov exponent charts”, Izv. Sarat. Univ. Physics, 23:1 (2023),  4–13  mathnet
6. D. A. Krylosova, A. P. Kuznetsov, Yu. V. Sedova, N. V. Stankevich, “Self-oscillating systems with controlled phase of external force”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:5 (2023),  549–565  mathnet
7. A. P. Kuznetsov, Yu. V. Sedova, “Dynamics of coupled quasiperiodic generator and Rössler system”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 49:2 (2023),  17–20  mathnet  elib 1
2022
8. A. P. Kuznetsov, Yu. V. Sedova, “High-dimensional discrete map based on coupled quasi-periodic generators”, Izv. Sarat. Univ. Physics, 22:4 (2022),  328–337  mathnet
9. A. P. Kuznetsov, Yu. V. Sedova, N. V. Stankevich, “Different modes of three coupled generators capable of demonstrating quasiperiodic oscillations”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 48:24 (2022),  19–22  mathnet  elib 1
10. A. P. Kuznetsov, Yu. V. Sedova, “Anishchenko–Astakhov quasiperiodic generator excited by external harmonic force”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 48:4 (2022),  48–50  mathnet  elib 1
2021
11. A. P. Kuznetsov, Yu. V. Sedova, “On the effect of noise on quasiperiodicity of different dimensions, including the quasiperiodic hopf bifurcation”, Izv. Sarat. Univ. Physics, 21:1 (2021),  29–35  mathnet 2
12. A. P. Kuznetsov, N. V. Stankevich, N. A. Shchegoleva, “Synchronization of coupled generators of quasi-periodic oscillations upon destruction of invariant curve”, Izvestiya VUZ. Applied Nonlinear Dynamics, 29:1 (2021),  136–159  mathnet
13. A. P. Kuznetsov, Yu. V. Sedova, N. V. Stankevich, “Two coupled quasiperiodic generators excited by external force”, Zhurnal Tekhnicheskoi Fiziki, 91:11 (2021),  1619–1624  mathnet  elib
2020
14. E. S. Popova, N. V. Stankevich, A. P. Kuznetsov, “Cascade of invariant curve doubling bifurcations and quasi-periodic Henon attractor in the discrete Lorenz-84 model”, Izv. Sarat. Univ. Physics, 20:3 (2020),  222–232  mathnet 5
2019
15. A. P. Kuznetsov, S. P. Kuznetsov, L. V. Turukina, “Complex dynamics and chaos in the Rabinovich - Fabrikant model”, Izv. Sarat. Univ. Physics, 19:1 (2019),  4–18  mathnet 3
16. N. V. Stankevich, E. S. Popova, A. P. Kuznetsov, Y. P. Seleznev, “Broadband chaotic oscillations in a weakly coupled ensemble of self-sustained oscillators”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 45:24 (2019),  17–20  mathnet  elib; Tech. Phys. Lett., 45:12 (2019), 1233–1236 3
2018
17. N. V. Stankevich, O. V. Astakhov, A. P. Kuznetsov, Y. P. Seleznev, “Exciting chaotic and quasi-periodic oscillations in a multicircuit oscillator with a common control scheme”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 44:10 (2018),  46–54  mathnet  elib; Tech. Phys. Lett., 44:5 (2018), 428–431 13
2017
18. A. P. Kuznetsov, Yu. V. Sedova, “Maps with quasi-periodicity of different dimension and quasi-periodic bifurcations”, Izvestiya VUZ. Applied Nonlinear Dynamics, 25:4 (2017),  33–50  mathnet 1
19. N. V. Stankevich, A. P. Kuznetsov, Y. P. Seleznev, “Quasi-periodic bifurcations of four-frequency tori in the ring of five coupled van der Pol oscillators with different types of dissipative coupling”, Zhurnal Tekhnicheskoi Fiziki, 87:6 (2017),  952–955  mathnet  elib; Tech. Phys., 62:6 (2017), 971–974 11
2016
20. A. P. Kuznetsov, S. P. Kuznetsov, “Analogy in interactions of electronic beams and hydrodynamic flows with fields of resonators and periodic structures. Part 2. Self-excitation, amplification and dip conditions”, Izvestiya VUZ. Applied Nonlinear Dynamics, 24:2 (2016),  5–26  mathnet
21. A. P. Kuznetsov, S. P. Kuznetsov, Yu. V. Sedova, “Pendulum system with an infinite number of equilibrium states and quasiperiodic dynamics”, Nelin. Dinam., 12:2 (2016),  223–234  mathnet  elib 3
2015
22. A. P. Kuznetsov, S. P. Kuznetsov, D. I. Trubetskov, “Analogy in interactions of electronic beams and hydrodynamic flows with fields of resonators and periodic structures. Part 1”, Izvestiya VUZ. Applied Nonlinear Dynamics, 23:5 (2015),  5–40  mathnet
23. A. P. Kuznetsov, S. P. Kuznetsov, N. V. Stankevich, “Four-dimensional system with torus attractor birth via saddle-node bifurcation of limit cycles in context of family of blue sky catastrophes”, Izvestiya VUZ. Applied Nonlinear Dynamics, 23:4 (2015),  32–39  mathnet
24. A. P. Kuznetsov, N. V. Stankevich, “Autonomous systems with quasiperiodic dynamics. Examples and their properties: Review”, Izvestiya VUZ. Applied Nonlinear Dynamics, 23:3 (2015),  71–93  mathnet 2
25. Alexander P. Kuznetsov, Natalia A. Migunova, Igor R. Sataev, Yuliya V. Sedova, Ludmila V. Turukina, “From Chaos to Quasi-Periodicity”, Regul. Chaotic Dyn., 20:2 (2015),  189–204  mathnet  mathscinet  zmath  isi  scopus 20
2014
26. A. P. Kuznetsov, E. S. Seliverstova, D. I. Trubetskov, L. V. Turukina, “Phenomenon of the van der pol equation”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:4 (2014),  3–42  mathnet 2
27. A. P. Kuznetsov, L. V. Turukina, I. R. Sataev, N. Yu. Chernyshov, “Synchronization and multi-frequency quasi-periodicity in the dynamics of coupled oscillators”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:1 (2014),  27–54  mathnet
28. Alexander P. Kuznetsov, Natalia A. Migunova, Igor R. Sataev, Julia V. Sedova, Ludmila V. Turukina, “Dynamics of coupled chaotic oscillators: from chaos to quasiperiodicity”, Nelin. Dinam., 10:4 (2014),  387–405  mathnet
29. Irina S. Dementyeva, Alexander P. Kuznetsov, Alexey V. Savin, Yuliya V. Sedova, “Quasiperiodic dynamics of three coupled logistic maps”, Nelin. Dinam., 10:2 (2014),  139–148  mathnet 1
30. A. P. Kuznetsov, I. R. Sataev, L. V. Turukina, N. Yu. Chernyshov, “Synchronisation in the phase model of three coupled lasers”, Kvantovaya Elektronika, 44:1 (2014),  17–22  mathnet  elib [Quantum Electron., 44:1 (2014), 17–22  isi  scopus]
2013
31. Alexander P. Kuznetsov, Natalia V. Stankevich, “Synchronization of generators of quasiperiodic oscillations”, Nelin. Dinam., 9:3 (2013),  409–419  mathnet 2
32. Alexander P. Kuznetsov, Ludmila V. Turukina, Nikolay Yu. Chernyschov, “Dynamics and synchronization of the three coupled oscillators with reactive type of coupling”, Nelin. Dinam., 9:1 (2013),  11–25  mathnet 1
2012
33. Yulia P. Emelianova, Alexander P. Kuznetsov, Erik Mosekilde, Jakob L. Laugesen, “Dynamics of coupled nephrons and broadband synchronization”, Nelin. Dinam., 8:5 (2012),  875–896  mathnet
34. Alexander P. Kuznetsov, Sergey P. Kuznetsov, Ludmila V. Turukina, I. R. Sataev, “Landau–Hopf scenario in the ensemble of interacting oscillators”, Nelin. Dinam., 8:5 (2012),  863–873  mathnet 3
35. Alexander P. Kuznetsov, Mikhail V. Pozdnyakov, Julia V. Sedova, “Coupled universal maps demonstrating Neimark–Saker bifurcation”, Nelin. Dinam., 8:3 (2012),  473–482  mathnet 4
36. Alexander P. Kuznetsov, Sergey P. Kuznetsov, Mikhail V. Pozdnyakov, Julia V. Sedova, “Universal two-dimensional map and its radiophysical realization”, Nelin. Dinam., 8:3 (2012),  461–471  mathnet 7
2011
37. Yu. P. Emel'yanova, A. P. Kuznetsov, “Synchronization of coupled van der Pole and Kislov–Dmitriev self-oscillators”, Zhurnal Tekhnicheskoi Fiziki, 81:4 (2011),  7–14  mathnet  elib; Tech. Phys., 56:4 (2011), 435–442 3
38. A. P. Kuznetsov, I. R. Sataev, L. V. Turukina, “Forced synchronization of two coupled van der Pol self-oscillators”, Nelin. Dinam., 7:3 (2011),  411–425  mathnet 15
2010
39. A. S. Kuznetsov, S. P. Kuznetsov, I. R. Sataev, “Parametric generator of hyperbolic chaos based on two coupled oscillators with nonlinear dissipation”, Zhurnal Tekhnicheskoi Fiziki, 80:12 (2010),  1–9  mathnet  elib; Tech. Phys., 55:12 (2010), 1707–1715 6
40. A. P. Kuznetsov, I. R. Sataev, L. V. Turukina, “Synchronization and multi-frequency oscillations in the chain of phase oscillators”, Nelin. Dinam., 6:4 (2010),  693–717  mathnet 14
41. A. P. Kuznetsov, I. R. Sataev, L. V. Turukina, “Synchronization of quasi-periodic oscillations in coupled phase oscillators”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 36:10 (2010),  73–80  mathnet  elib; Tech. Phys. Lett., 36:5 (2010), 478–481 13
2009
42. A. P. Kuznetsov, N. V. Stankevich, L. V. Turukina, “Stabilization by external pulses and synchronous response in the Rössler system before saddle-node bifurcation”, Nelin. Dinam., 5:2 (2009),  253–264  mathnet
2008
43. A. P. Kuznetsov, V. I. Paksyutov, “Dynamics of a system of two coupled nonidentical Kislov–Dmitriev generators”, Zhurnal Tekhnicheskoi Fiziki, 78:4 (2008),  129–132  mathnet  elib; Tech. Phys., 53:4 (2008), 518–521 1
44. A. P. Kuznetsov, S. P. Kuznetsov, I. R. Sataev, Yu. V. Sedova, “Critical point of accumulation of fold-flip bifurcation points and critical quasi-attractor (the review and new results)”, Nelin. Dinam., 4:2 (2008),  113–132  mathnet 2
45. A. P. Kuznetsov, S. P. Kuznetsov, A. V. Savin, D. V. Savin, “On the possibility for an autooscillatory system under external periodic drive action to exhibit universal behavior characteristic of the transition to chaos via period-doubling bifurcations in conservative systems”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 34:22 (2008),  72–80  mathnet  elib; Tech. Phys. Lett., 34:11 (2008), 985–988 1
46. A. P. Kuznetsov, N. V. Stankevich, L. V. Turukina, “The death of quasi-periodic regimes in a system of dissipatively coupled van der Pol oscillators under pulsed drive action”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 34:15 (2008),  22–27  mathnet  elib; Tech. Phys. Lett., 34:8 (2008), 643–645 6
47. A. P. Kuznetsov, N. V. Stankevich, L. V. Turukina, “Stabilizing the Rössler system by external pulses on a runaway trajectory”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 34:14 (2008),  68–74  mathnet  elib; Tech. Phys. Lett., 34:7 (2008), 618–621 3
48. A. P. Kuznetsov, I. R. Sataev, Yu. V. Sedova, “Dynamics of Coupled Non-Identical Systems with Period-Doubling Cascade”, Regul. Chaotic Dyn., 13:1 (2008),  9–18  mathnet  mathscinet  zmath
1997
49. A. P. Kuznetsov, S. P. Kuznetsov, I. R. Sataev, “Codimension and typicity in a context of description of transition to chaos via period-doubling in dissipative dynamical systems”, Regul. Chaotic Dyn., 2:3-4 (1997),  90–105  mathnet  mathscinet  zmath 1
2025
50. A. P. Kuznetsov, Yu. V. Sedova, “50th anniversary of the discovery of Feigenbaum's patterns”, Izvestiya VUZ. Applied Nonlinear Dynamics, 33:1 (2025),  5–8  mathnet
2024
51. A. P. Kuznetsov, N. M. Ryskin, “Department of Dynamic Systems of Saratov State University on the basis of the SB IRE RAS - 25 years”, Izvestiya VUZ. Applied Nonlinear Dynamics, 32:1 (2024),  8–10  mathnet
2018
52. A. P. Kuznetsov, A. Zh. Rahmanova, A. V. Savin, “The effect of symmetry breaking on reversible systems with mixed dynamics”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:6 (2018),  20–31  mathnet  elib
2015
53. A. P. Kuznetsov, I. R. Sataev, D. I. Trubetskov, E. S. Seliverstova, “Amazing Robert Adler: Adler’s tube, Adler’s equation, and more”, Izvestiya VUZ. Applied Nonlinear Dynamics, 23:3 (2015),  3–26  mathnet 1

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