Kuznetsov, Sergey Petrovich

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Total publications: 68
Scientific articles: 65

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Kuznetsov, Sergey Petrovich
Doctor of physico-mathematical sciences (1987)
Speciality: 01.04.03 (Radio physics)
Birth date: 10.01.1951
Keywords: chaos, attactor, bifurcation.
UDC: 517.9, 517.548
MSC: 37D45, 15A66, 46S99, 30G35


Nonlinear dynamics, chaos, electronics.


S. P. Kuznetsov was graduated Saratov State University in 1973. In 1977 he received the degree of Candidate of Sciences from Saratov University, speciality Radio-physics. Since 1977 till 1988 S. P. Kuznetsov is a Senior Researcher of the Institute of Mechanics and Physics of SSU. In 1988 he received degree of Doctor of Sciences from Saratov University. The title of the thesis: "Non-stationary nonlinear processes and stochastic oscillations in spatially extended systems of radio-physics and electronics". Since 1988 S. P. Kuznetsov is a Head Researcher of Saratov Division of Institute of Radio-Engineering and Electronics of RAS, from 1996 — a Professor of Department of Nonlinear Processes of Saratov University. From 2001 S. P. Kuznetsov is a head of Laboratory of Theoretical Nonlinear Dynamics in Saratov Branch of IRE RAS.
S. P. Kuznetsov is an author of textbook "Dynamical Chaos" and more than 150 published works in Russian and International scientific press. Seven Candidate works have been performed under supervision of S. P. Kuznetsov. He was a Laureate of State Stipendium for Distinguished Scientists of Russian Federation (1994–1996), Soros Associated Professor (1998), Soros Professor (2000, 2001). He is a member of Editorial board of the Journal "Applied Nonlinear Dynamics" issued by Saratov University.

Main publications:
  1. S. P. Kuznetsov, Dinamicheskii khaos, Sovremennaya teoriya kolebanii i voln, Fizmatlit, Moskva, 2006
  2. U. Feudel, S. Kuznetsov, A. Pikovsky, Strange Nonchaotic Attractors. Dynamics between Order and Chaos in Quasiperiodically Forced Systems, World Scientific Series on Nonlinear Science, Series A, 56, World Scientific, Singapore, 2006  mathscinet  zmath
  3. S. P. Kuznetsov, A. P. Kuznetsov, I. R. Sataev, “Multiparameter Critical Situations, Universality and Scaling in Two-Dimensional Period-Doubling Maps”, Journal of Statistical Physics, 121:5–6 (2005), 697–748  crossref  mathscinet  zmath  adsnasa
  4. S. P. Kuznetsov, “Example of a Physical System with a Hyperbolic Attractor of the Smale-Williams Type”, Phys. Rev. Lett., 95 (2005), 144101  crossref  adsnasa
  5. S. P. Kuznetsov, “Dinamicheskii khaos i odnorodno giperbolicheskie attraktory: ot matematiki k fizike”, Uspekhi fizicheskikh nauk, 181:2 (2011), 121-149

Publications in Math-Net.Ru
1. Sergey P. Kuznetsov, Vyacheslav P. Kruglov, Alexey V. Borisov, “Chaplygin sleigh in the quadratic potential field”, EPL, 132:2 (2020), 20008, 1 pp.  mathnet  isi  scopus
2. S. P. Kuznetsov, V. P. Kruglov, Yu. V. Sedova, “Mechanical Systems with Hyperbolic Chaotic Attractors Based on Froude Pendulums”, Rus. J. Nonlin. Dyn., 16:1 (2020),  51–58  mathnet  elib  scopus
3. S. P. Kuznetsov, “Some Lattice Models with Hyperbolic Chaotic Attractors”, Rus. J. Nonlin. Dyn., 16:1 (2020),  13–21  mathnet  elib  scopus
4. S. P. Kuznetsov, “Self-oscillating system generating rough hyperbolic chaos”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:6 (2019),  39–62  mathnet
5. S. P. Kuznetsov, “Chaotic dynamics of pendulum ring chain with vibrating suspension”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:4 (2019),  99–113  mathnet  elib
6. S. P. Kuznetsov, “An electronic device implementing a strange nonchaotic Hunt–Ott attractor”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:2 (2019),  61–72  mathnet  elib
7. S. P. Kuznetsov, Yu. V. Sedova, “Hyperbolic chaos in the Bonhoeffer–van der Pol oscillator with additional delayed feedback and periodically modulated excitation parameter”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:1 (2019),  77–95  mathnet  elib
8. S. P. Kuznetsov, “Complex Dynamics in Generalizations of the Chaplygin Sleigh”, Rus. J. Nonlin. Dyn., 15:4 (2019),  551–559  mathnet  elib  scopus
9. S. P. Kuznetsov, “Generation of Robust Hyperbolic Chaos in CNN”, Rus. J. Nonlin. Dyn., 15:2 (2019),  109–124  mathnet  elib
10. Vyacheslav P. Kruglov, Sergey P. Kuznetsov, “Topaj Pikovsky Involution in the Hamiltonian Lattice of Locally Coupled Oscillators”, Regul. Chaotic Dyn., 24:6 (2019),  725–738  mathnet  mathscinet  isi  scopus
11. S. P. Kuznetsov, “Simple electronic chaos generators and their circuit simulation”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:3 (2018),  35–61  mathnet  elib
12. S. P. Kuznetsov, “Belykh attractor in Zaslavsky map and its transformation under smoothing”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:1 (2018),  64–79  mathnet  elib
13. S. P. Kuznetsov, L. V. Turukina, “Complex dynamics and chaos in electronic self-oscillator with saturation mechanism provided by parametric decay”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:1 (2018),  33–47  mathnet  elib
14. V. M. Doroshenko, V. P. Kruglov, S. P. Kuznetsov, “Smale Williams Solenoids in a System of Coupled Bonhoeffer van der Pol Oscillators”, Nelin. Dinam., 14:4 (2018),  435–451  mathnet  elib  scopus
15. Pavel V. Kuptsov, Sergey P. Kuznetsov, “Lyapunov Analysis of Strange Pseudohyperbolic Attractors: Angles Between Tangent Subspaces, Local Volume Expansion and Contraction”, Regul. Chaotic Dyn., 23:7-8 (2018),  908–932  mathnet  isi  scopus
16. Alexey V. Borisov, Sergey P. Kuznetsov, “Comparing Dynamics Initiated by an Attached Oscillating Particle for the Nonholonomic Model of a Chaplygin Sleigh and for a Model with Strong Transverse and Weak Longitudinal Viscous Friction Applied at a Fixed Point on the Body”, Regul. Chaotic Dyn., 23:7-8 (2018),  803–820  mathnet  isi  scopus
17. Sergey P. Kuznetsov, Yuliya V. Sedova, “Hyperbolic Chaos in Systems Based on FitzHughNagumo Model Neurons”, Regul. Chaotic Dyn., 23:4 (2018),  458–470  mathnet  mathscinet  isi  scopus
18. Sergey P. Kuznetsov, “Regular and Chaotic Dynamics of a Chaplygin Sleigh due to Periodic Switch of the Nonholonomic Constraint”, Regul. Chaotic Dyn., 23:2 (2018),  178–192  mathnet  isi  scopus
19. S. P. Kuznetsov, “Chaos and hyperchaos of geodesic flows on curved manifolds corresponding to mechanically coupled rotators: Examples and numerical study”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:4 (2018),  565–581  mathnet  elib
20. Ivan A. Bizyaev, Alexey V. Borisov, Sergey P. Kuznetsov, “Chaplygin sleigh with periodically oscillating internal mass”, EPL, 119:6 (2017), 60008, 7 pp.  mathnet  isi
21. V. M. Doroshenko, V. P. Kruglov, S. P. Kuznetsov, “Chaos generator with the SmaleWilliams attractor based on oscillation death”, Nelin. Dinam., 13:3 (2017),  303–315  mathnet  elib
22. A. Yu. Jalnine, S. P. Kuznetsov, “Autonomous strange non-chaotic oscillations in a system of mechanical rotators”, Nelin. Dinam., 13:2 (2017),  257–275  mathnet  elib; Regular and Chaotic Dynamics, 22:3 (2017), 210–225  scopus
23. Pavel V. Kuptsov, Sergey P. Kuznetsov, Nataliya V. Stankevich, “A Family of Models with Blue Sky Catastrophes of Different Classes”, Regul. Chaotic Dyn., 22:5 (2017),  551–565  mathnet  isi  scopus
24. Alexey Yu. Jalnine, Sergey P. Kuznetsov, “Autonomous Strange Nonchaotic Oscillations in a System of Mechanical Rotators”, Regul. Chaotic Dyn., 22:3 (2017),  210–225  mathnet  mathscinet  isi  scopus
25. S. P. Kuznetsov, V. P. Kruglov, “On some simple examples of mechanical systems with hyperbolic chaos”, Trudy MIAN, 297 (2017),  232–259  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 297 (2017), 208–234  isi  scopus
26. S. P. Kuznetsov, “Lorenz type attractor in electronic parametricgenerator and its transformation outside the accurate parametric resonance”, Izvestiya VUZ. Applied Nonlinear Dynamics, 24:3 (2016),  68–87  mathnet
27. 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
28. 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
29. S. P. Kuznetsov, “Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage: Testing absence of tangencies of stable and unstable manifolds for phase trajectories”, Nelin. Dinam., 12:1 (2016),  121–143  mathnet; Regular and Chaotic Dynamics, 20:6 (2015), 649–666  scopus
30. Alexey V. Borisov, Sergey P. Kuznetsov, “Regular and Chaotic Motions of a Chaplygin Sleigh under Periodic Pulsed Torque Impacts”, Regul. Chaotic Dyn., 21:7-8 (2016),  792–803  mathnet  isi  scopus
31. Sergey P. Kuznetsov, Vyacheslav P. Kruglov, “Verification of Hyperbolicity for Attractors of Some Mechanical Systems with Chaotic Dynamics”, Regul. Chaotic Dyn., 21:2 (2016),  160–174  mathnet  mathscinet  isi  scopus
32. 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
33. 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
34. Sergey P. Kuznetsov, “Motion of a falling card in a fluid: Finite-dimensional models, complex phenomena, and nonlinear dynamics”, Nelin. Dinam., 11:1 (2015),  3–49  mathnet  elib
35. Sergey P. Kuznetsov, “Hyperbolic Chaos in Self-oscillating Systems Based on Mechanical Triple Linkage: Testing Absence of Tangencies of Stable and Unstable Manifolds for Phase Trajectories”, Regul. Chaotic Dyn., 20:6 (2015),  649–666  mathnet  mathscinet  isi  scopus
36. Sergey P. Kuznetsov, “Plate Falling in a Fluid: Regular and Chaotic Dynamics of Finite-dimensional Models”, Regul. Chaotic Dyn., 20:3 (2015),  345–382  mathnet  mathscinet  zmath  isi  scopus
37. S. P. Kuznetsov, “On the validity of the nonholonomic model of the rattleback”, UFN, 185:12 (2015),  1342–1344  mathnet  elib; Phys. Usp., 58:12 (2015), 1223–1224  isi  scopus
38. Arzhanukhina, S. P. Kuznetsov, “Robust chaos in autonomous time-delay system”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:2 (2014),  36–49  mathnet
39. Vyacheslav P. Kruglov, Alexey S. Kuznetsov, Sergey P. Kuznetsov, “Hyperbolic chaos in systems with parametrically excited patterns of standing waves”, Nelin. Dinam., 10:3 (2014),  265–277  mathnet
40. Vyacheslav P. Kruglov, Sergey P. Kuznetsov, Arkady Pikovsky, “Attractor of SmaleWilliams Type in an Autonomous Distributed System”, Regul. Chaotic Dyn., 19:4 (2014),  483–494  mathnet  mathscinet  zmath  isi
41. A. V. Borisov, A. O. Kazakov, S. P. Kuznetsov, “Nonlinear dynamics of the rattleback: a nonholonomic model”, UFN, 184:5 (2014),  493–500  mathnet  elib; Phys. Usp., 57:5 (2014), 453–460  isi  elib  scopus
42. Olga B. Isaeva, Sergey P. Kuznetsov, Igor R. Sataev, Arkady Pikovsky, “On a bifurcation scenario of a birth of attractor of Smale–Williams type”, Nelin. Dinam., 9:2 (2013),  267–294  mathnet
43. Olga B. Isaeva, Alexey S. Kuznetsov, Sergey P. Kuznetsov, “Hyperbolic chaos in parametric oscillations of a string”, Nelin. Dinam., 9:1 (2013),  3–10  mathnet
44. 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
45. Sergey P. Kuznetsov, Alexey Yu. Jalnine, Igor R. Sataev, Julia V. Sedova, “Phenomena of nonlinear dynamics of dissipative systems in nonholonomic mechanics of the rattleback”, Nelin. Dinam., 8:4 (2012),  735–762  mathnet
46. 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
47. Alexey V. Borisov, Alexey Yu. Jalnine, Sergey P. Kuznetsov, Igor R. Sataev, Yulia V. Sedova, “Dynamical Phenomena Occurring due to Phase Volume Compression in Nonholonomic Model of the Rattleback”, Regul. Chaotic Dyn., 17:6 (2012),  512–532  mathnet  mathscinet  zmath
48. S. P. Kuznetsov, “Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics”, UFN, 181:2 (2011),  121–149  mathnet  elib; Phys. Usp., 54:2 (2011), 119–144  isi  scopus
49. S. P. Kuznetsov, “An example of a non-autonomous continuous-time system with attractor of Plykin type in the Poincaré map”, Nelin. Dinam., 5:3 (2009),  403–424  mathnet
50. 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
51. P. V. Kuptsov, S. P. Kuznetsov, “Transition to a synchronous chaos regime in a system of coupled non-autonomous oscillators presented in terms of amplitude equations”, Nelin. Dinam., 2:3 (2006),  307–331  mathnet
52. A. Yu. Jalnine, S. P. Kuznetsov, A. Osbaldestin, “Dynamics of small perturbations of orbits on a torus in a quasiperiodically forced 2D dissipative map”, Regul. Chaotic Dyn., 11:1 (2006),  19–30  mathnet  mathscinet  zmath
53. S. P. Kuznetsov, “Generalized dimensions of the golden-mean quasiperiodic orbit from renormalization-group functional equation”, Regul. Chaotic Dyn., 10:1 (2005),  33–38  mathnet  mathscinet  zmath
54. S. P. Kuznetsov, A. H. Osbaldestin, “Generalized Dimensions of Feigenbaum's Attractor from Renormalization-Group Functional Equations”, Regul. Chaotic Dyn., 7:3 (2002),  325–330  mathnet  mathscinet  zmath
55. O. B. Isaeva, S. P. Kuznetsov, “On Scaling Properties of Two-Dimensional Maps Near the Accumulation Point of the Period-Tripling Cascade”, Regul. Chaotic Dyn., 5:4 (2000),  459–476  mathnet  mathscinet  zmath
56. 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
57. A. P. Kuznetsov, S. P. Kuznetsov, “GENERATOR OF FRACTAL SIGNALS”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 18:24 (1992),  19–22  mathnet
58. A. P. Kuznetsov, S. P. Kuznetsov, “TREE OF SUPERSTABLE ORBITS AND SCALING IN 3-PARAMETRIC IMAGES”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 18:21 (1992),  34–36  mathnet
59. E. N. Erastova, S. P. Kuznetsov, “MECHANISM OF QUASI-PERIODIC OSCILLATION ORIGINATION IN FEIGENBAUM BONDED SYSTEM”, Zhurnal Tekhnicheskoi Fiziki, 61:2 (1991),  13–20  mathnet
60. S. P. Kuznetsov, I. V. Meshkov, A. D. Perekrestenko, A. V. Shelagin, “STUDY OF SUBMICROSCOPIC MAGNETIC HETEROGENEITIES IN MAGNETICS USING VERY COLD NEUTRONS”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 15:20 (1989),  27–31  mathnet
61. V. P. Bezruchko, V. Y. Kamenskii, S. P. Kuznetsov, V. I. Ponomarenko, “EXPERIMENTAL CONFIRMATION OF PRINCIPLES OF UNIVERSALITY AND SIMILARITY FOR A MODEL OF THE GENERATOR WITH DELAY FEEDBACK”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 14:11 (1988),  1014–1019  mathnet
62. V. V. Astakhov, B. P. Bezruchko, S. P. Kuznetsov, E. P. Seleznev, “PECULIARITIES OF ORIGINATION OF QUASIPERIODIC MOMENTS IN THE DISSIPATIVELY RELATED NONLINEAR OSCILLATOR SYSTEM UNDER THE OUTER PERIODIC EFFECT”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 14:1 (1988),  37–41  mathnet
63. V. A. Kac, S. P. Kuznetsov, “Transition to the multimode chaos in a simple-model of generator with retardation”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 13:12 (1987),  727–733  mathnet
64. B. P. Bezruchko, Yu. V. Gulyaev, S. P. Kuznetsov, Y. P. Seleznev, “A new type of critical behavior in coupled systems at the transition to chaos”, Dokl. Akad. Nauk SSSR, 287:3 (1986),  619–622  mathnet
65. S. P. Kuznetsov, “SCALE-INVARIANT STRUCTURE OF THE PARAMETER SPACE FOR COUPLED FEIGENBAUM SYSTEMS”, Zhurnal Tekhnicheskoi Fiziki, 55:9 (1985),  1830–1834  mathnet
66. A. V. Antonov, A. I. Isakov, S. P. Kuznetsov, I. V. Meshkov, A. D. Perekrestenko, A. V. Shelagin, “Cold neutron study of inhomogeneities in $\mathrm{V}$ and $\mathrm{Be}$”, Fizika Tverdogo Tela, 26:6 (1984),  1585–1596  mathnet
67. S. P. Kuznetsov, A. Y. Perelman, D. I. Trubetskov, “AUTOMODULATION AND STOCHASTIC CONDITIONS IN A RUNNING WAVE CLISTRONE WITH AN EXTERIOR INVERSE CONNECTION”, Zhurnal Tekhnicheskoi Fiziki, 53:1 (1983),  163–166  mathnet
68. S. P. Kuznetsov, “ ”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 9:2 (1983),  94–98  mathnet

69. S. P. Kuznetsov, “Editorial”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:4 (2018),  3–4  mathnet
70. S. P. Kuznetsov, “Editorial”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:3 (2018),  3–6  mathnet
71. S. P. Kuznetsov, “Example of blue sky catastrophe accompanied by a birth of SmaleWilliams attractor”, Regul. Chaotic Dyn., 15:2-3 (2010),  348–353  mathnet

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