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:
S. P. Kuznetsov, Dinamicheskii khaos, Sovremennaya teoriya kolebanii i voln, Fizmatlit, Moskva, 2006
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
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
S. P. Kuznetsov, “Example of a Physical System with a Hyperbolic Attractor of the Smale-Williams Type”, Phys. Rev. Lett., 95 (2005), 144101
S. P. Kuznetsov, “Dinamicheskii khaos i odnorodno giperbolicheskie attraktory: ot matematiki k fizike”, Uspekhi fizicheskikh nauk, 181:2 (2011), 121-149
S. P. Kuznetsov, L. V. Turukina, “Generalized Rabinovich-Fabrikant system: equations and its dynamics”, Izvestiya VUZ. Applied Nonlinear Dynamics, 30:1 (2022), 7–29
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
S. P. Kuznetsov, “Self-oscillating system generating rough hyperbolic chaos”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:6 (2019), 39–62
6.
S. P. Kuznetsov, “Chaotic dynamics of pendulum ring chain with vibrating suspension”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:4 (2019), 99–113
7.
S. P. Kuznetsov, “An electronic device implementing a strange nonchaotic Hunt–Ott attractor”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:2 (2019), 61–72
8.
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
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
S. P. Kuznetsov, P. V. Kuptsov, “Lorenz attractor in a system with delay: an example of pseudogyperbolic chaos”, Izv. Sarat. Univ. Physics, 18:3 (2018), 162–176
13.
S. P. Kuznetsov, “Simple electronic chaos generators and their circuit simulation”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:3 (2018), 35–61
S. P. Kuznetsov, “Belykh attractor in Zaslavsky map and its transformation under smoothing”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:1 (2018), 64–79
15.
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
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
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
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
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
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
Ivan A. Bizyaev, Alexey V. Borisov, Sergey P. Kuznetsov, “Chaplygin sleigh with periodically oscillating internal mass”, EPL, 119:6 (2017), 60008, 7 pp.
V. M. Doroshenko, V. P. Kruglov, S. P. Kuznetsov, “Chaos generator with the Smale–Williams attractor based on oscillation death”, Nelin. Dinam., 13:3 (2017), 303–315
24.
A. Yu. Jalnine, S. P. Kuznetsov, “Autonomous strange non-chaotic oscillations in a system of mechanical rotators”, Nelin. Dinam., 13:2 (2017), 257–275; Regular and Chaotic Dynamics, 22:3 (2017), 210–225
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
Alexey Yu. Jalnine, Sergey P. Kuznetsov, “Autonomous Strange Nonchaotic Oscillations in a System of Mechanical Rotators”, Regul. Chaotic Dyn., 22:3 (2017), 210–225
S. P. Kuznetsov, V. P. Kruglov, “On some simple examples of mechanical systems with hyperbolic chaos”, Trudy Mat. Inst. Steklova, 297 (2017), 232–259; Proc. Steklov Inst. Math., 297 (2017), 208–234
S. P. Kuznetsov, “From Anosov’s dynamics on a surface of negative curvature to electronic generator of robust chaos”, Izv. Sarat. Univ. Physics, 16:3 (2016), 131–144
29.
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
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
31.
S. P. Kuznetsov, “Parametric chaos generator operating on a varactor diode with the instability limitation decay mechanism”, Zhurnal Tekhnicheskoi Fiziki, 86:3 (2016), 118–127; Tech. Phys., 61:3 (2016), 436–445
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
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; Regular and Chaotic Dynamics, 20:6 (2015), 649–666
A. V. Borisov, S. P. Kuznetsov, I. S. Mamaev, V. A. Tenenev, “Describing the motion of a body with an elliptical cross section in a viscous uncompressible fluid by model equations reconstructed from data processing”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 42:17 (2016), 9–19; Tech. Phys. Lett., 42:9 (2016), 886–890
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
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
S. P. Kuznetsov, “Chaos in the system of three coupled rotators: from Anosov dynamics to hyperbolic attractor”, Izv. Sarat. Univ. Physics, 15:2 (2015), 5–17
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
39.
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
40.
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
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
Arzhanukhina, S. P. Kuznetsov, “Robust chaos in autonomous time-delay system”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:2 (2014), 36–49
45.
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
Vyacheslav P. Kruglov, Sergey P. Kuznetsov, Arkady Pikovsky, “Attractor of Smale–Williams Type in an Autonomous Distributed System”, Regul. Chaotic Dyn., 19:4 (2014), 483–494
A. V. Borisov, A. O. Kazakov, S. P. Kuznetsov, “Nonlinear dynamics of the rattleback: a nonholonomic model”, UFN, 184:5 (2014), 493–500; Phys. Usp., 57:5 (2014), 453–460
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
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
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
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
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
S. P. Kuznetsov, “Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics”, UFN, 181:2 (2011), 121–149; Phys. Usp., 54:2 (2011), 119–144
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
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
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
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
S. P. Kuznetsov, “Generalized dimensions of the golden-mean quasiperiodic orbit from renormalization-group functional equation”, Regul. Chaotic Dyn., 10:1 (2005), 33–38
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
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
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
A. P. Kuznetsov, S. P. Kuznetsov, “GENERATOR OF FRACTAL SIGNALS”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 18:24 (1992), 19–22
64.
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
1991
65.
E. N. Erastova, S. P. Kuznetsov, “MECHANISM OF QUASI-PERIODIC OSCILLATION ORIGINATION IN FEIGENBAUM BONDED
SYSTEM”, Zhurnal Tekhnicheskoi Fiziki, 61:2 (1991), 13–20
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
1988
67.
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
68.
V. V. Astakhov, B. P. Bezruchko, S. P. Kuznetsov, Y. 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
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
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
1985
71.
S. P. Kuznetsov, “SCALE-INVARIANT STRUCTURE OF THE PARAMETER SPACE FOR COUPLED FEIGENBAUM
SYSTEMS”, Zhurnal Tekhnicheskoi Fiziki, 55:9 (1985), 1830–1834
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
1983
73.
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
74.
S. P. Kuznetsov, “Î êðèòè÷åñêîì ïîâåäåíèè îäíîìåðíûõ öåïî÷åê”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 9:2 (1983), 94–98
2018
75.
S. P. Kuznetsov, “Editorial”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:4 (2018), 3–4
76.
S. P. Kuznetsov, “Editorial”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:3 (2018), 3–6
2010
77.
S. P. Kuznetsov, “Example of blue sky catastrophe accompanied by a birth of Smale–Williams attractor”, Regul. Chaotic Dyn., 15:2-3 (2010), 348–353