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Kuznetsov Sergey Petrovich

Publications in Math-Net.Ru

  1. Generalized Rabinovich-Fabrikant system: equations and its dynamics

    Izvestiya VUZ. Applied Nonlinear Dynamics, 30:1 (2022),  7–29
  2. Chaplygin sleigh in the quadratic potential field

    EPL, 132:2 (2020), 20008, 1 pp.
  3. Mechanical Systems with Hyperbolic Chaotic Attractors Based on Froude Pendulums

    Rus. J. Nonlin. Dyn., 16:1 (2020),  51–58
  4. Some Lattice Models with Hyperbolic Chaotic Attractors

    Rus. J. Nonlin. Dyn., 16:1 (2020),  13–21
  5. Self-oscillating system generating rough hyperbolic chaos

    Izvestiya VUZ. Applied Nonlinear Dynamics, 27:6 (2019),  39–62
  6. Chaotic dynamics of pendulum ring chain with vibrating suspension

    Izvestiya VUZ. Applied Nonlinear Dynamics, 27:4 (2019),  99–113
  7. An electronic device implementing a strange nonchaotic Hunt–Ott attractor

    Izvestiya VUZ. Applied Nonlinear Dynamics, 27:2 (2019),  61–72
  8. 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
  9. Complex Dynamics in Generalizations of the Chaplygin Sleigh

    Rus. J. Nonlin. Dyn., 15:4 (2019),  551–559
  10. Generation of Robust Hyperbolic Chaos in CNN

    Rus. J. Nonlin. Dyn., 15:2 (2019),  109–124
  11. Topaj – Pikovsky Involution in the Hamiltonian Lattice of Locally Coupled Oscillators

    Regul. Chaotic Dyn., 24:6 (2019),  725–738
  12. Lorenz attractor in a system with delay: an example of pseudogyperbolic chaos

    Izv. Sarat. Univ. Physics, 18:3 (2018),  162–176
  13. Simple electronic chaos generators and their circuit simulation

    Izvestiya VUZ. Applied Nonlinear Dynamics, 26:3 (2018),  35–61
  14. Belykh attractor in Zaslavsky map and its transformation under smoothing

    Izvestiya VUZ. Applied Nonlinear Dynamics, 26:1 (2018),  64–79
  15. 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
  16. Smale – Williams Solenoids in a System of Coupled Bonhoeffer – van der Pol Oscillators

    Nelin. Dinam., 14:4 (2018),  435–451
  17. Lyapunov Analysis of Strange Pseudohyperbolic Attractors: Angles Between Tangent Subspaces, Local Volume Expansion and Contraction

    Regul. Chaotic Dyn., 23:7-8 (2018),  908–932
  18. 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
  19. Hyperbolic Chaos in Systems Based on FitzHugh–Nagumo Model Neurons

    Regul. Chaotic Dyn., 23:4 (2018),  458–470
  20. Regular and Chaotic Dynamics of a Chaplygin Sleigh due to Periodic Switch of the Nonholonomic Constraint

    Regul. Chaotic Dyn., 23:2 (2018),  178–192
  21. 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
  22. Chaplygin sleigh with periodically oscillating internal mass

    EPL, 119:6 (2017), 60008, 7 pp.
  23. Chaos generator with the Smale–Williams attractor based on oscillation death

    Nelin. Dinam., 13:3 (2017),  303–315
  24. Autonomous strange non-chaotic oscillations in a system of mechanical rotators

    Nelin. Dinam., 13:2 (2017),  257–275
  25. A Family of Models with Blue Sky Catastrophes of Different Classes

    Regul. Chaotic Dyn., 22:5 (2017),  551–565
  26. Autonomous Strange Nonchaotic Oscillations in a System of Mechanical Rotators

    Regul. Chaotic Dyn., 22:3 (2017),  210–225
  27. On some simple examples of mechanical systems with hyperbolic chaos

    Trudy Mat. Inst. Steklova, 297 (2017),  232–259
  28. 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. Lorenz type attractor in electronic parametricgenerator and its transformation outside the accurate parametric resonance

    Izvestiya VUZ. Applied Nonlinear Dynamics, 24:3 (2016),  68–87
  30. 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. Parametric chaos generator operating on a varactor diode with the instability limitation decay mechanism

    Zhurnal Tekhnicheskoi Fiziki, 86:3 (2016),  118–127
  32. Pendulum system with an infinite number of equilibrium states and quasiperiodic dynamics

    Nelin. Dinam., 12:2 (2016),  223–234
  33. 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
  34. 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
  35. Regular and Chaotic Motions of a Chaplygin Sleigh under Periodic Pulsed Torque Impacts

    Regul. Chaotic Dyn., 21:7-8 (2016),  792–803
  36. Verification of Hyperbolicity for Attractors of Some Mechanical Systems with Chaotic Dynamics

    Regul. Chaotic Dyn., 21:2 (2016),  160–174
  37. Chaos in the system of three coupled rotators: from Anosov dynamics to hyperbolic attractor

    Izv. Sarat. Univ. Physics, 15:2 (2015),  5–17
  38. 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. 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. Motion of a falling card in a fluid: Finite-dimensional models, complex phenomena, and nonlinear dynamics

    Nelin. Dinam., 11:1 (2015),  3–49
  41. 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
  42. Plate Falling in a Fluid: Regular and Chaotic Dynamics of Finite-dimensional Models

    Regul. Chaotic Dyn., 20:3 (2015),  345–382
  43. On the validity of the nonholonomic model of the rattleback

    UFN, 185:12 (2015),  1342–1344
  44. Robust chaos in autonomous time-delay system

    Izvestiya VUZ. Applied Nonlinear Dynamics, 22:2 (2014),  36–49
  45. Hyperbolic chaos in systems with parametrically excited patterns of standing waves

    Nelin. Dinam., 10:3 (2014),  265–277
  46. Attractor of Smale–Williams Type in an Autonomous Distributed System

    Regul. Chaotic Dyn., 19:4 (2014),  483–494
  47. Nonlinear dynamics of the rattleback: a nonholonomic model

    UFN, 184:5 (2014),  493–500
  48. On a bifurcation scenario of a birth of attractor of Smale–Williams type

    Nelin. Dinam., 9:2 (2013),  267–294
  49. Hyperbolic chaos in parametric oscillations of a string

    Nelin. Dinam., 9:1 (2013),  3–10
  50. Landau–Hopf scenario in the ensemble of interacting oscillators

    Nelin. Dinam., 8:5 (2012),  863–873
  51. Phenomena of nonlinear dynamics of dissipative systems in nonholonomic mechanics of the rattleback

    Nelin. Dinam., 8:4 (2012),  735–762
  52. Universal two-dimensional map and its radiophysical realization

    Nelin. Dinam., 8:3 (2012),  461–471
  53. Dynamical Phenomena Occurring due to Phase Volume Compression in Nonholonomic Model of the Rattleback

    Regul. Chaotic Dyn., 17:6 (2012),  512–532
  54. Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics

    UFN, 181:2 (2011),  121–149
  55. 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
  56. 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
  57. 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
  58. Dynamics of small perturbations of orbits on a torus in a quasiperiodically forced 2D dissipative map

    Regul. Chaotic Dyn., 11:1 (2006),  19–30
  59. Generalized dimensions of the golden-mean quasiperiodic orbit from renormalization-group functional equation

    Regul. Chaotic Dyn., 10:1 (2005),  33–38
  60. Generalized Dimensions of Feigenbaum's Attractor from Renormalization-Group Functional Equations

    Regul. Chaotic Dyn., 7:3 (2002),  325–330
  61. On Scaling Properties of Two-Dimensional Maps Near the Accumulation Point of the Period-Tripling Cascade

    Regul. Chaotic Dyn., 5:4 (2000),  459–476
  62. 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
  63. GENERATOR OF FRACTAL SIGNALS

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 18:24 (1992),  19–22
  64. TREE OF SUPERSTABLE ORBITS AND SCALING IN 3-PARAMETRIC IMAGES

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 18:21 (1992),  34–36
  65. MECHANISM OF QUASI-PERIODIC OSCILLATION ORIGINATION IN FEIGENBAUM BONDED SYSTEM

    Zhurnal Tekhnicheskoi Fiziki, 61:2 (1991),  13–20
  66. STUDY OF SUBMICROSCOPIC MAGNETIC HETEROGENEITIES IN MAGNETICS USING VERY COLD NEUTRONS

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 15:20 (1989),  27–31
  67. 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. 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
  69. Transition to the multimode chaos in a simple-model of generator with retardation

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 13:12 (1987),  727–733
  70. A new type of critical behavior in coupled systems at the transition to chaos

    Dokl. Akad. Nauk SSSR, 287:3 (1986),  619–622
  71. SCALE-INVARIANT STRUCTURE OF THE PARAMETER SPACE FOR COUPLED FEIGENBAUM SYSTEMS

    Zhurnal Tekhnicheskoi Fiziki, 55:9 (1985),  1830–1834
  72. Cold neutron study of inhomogeneities in $\mathrm{V}$ and $\mathrm{Be}$

    Fizika Tverdogo Tela, 26:6 (1984),  1585–1596
  73. AUTOMODULATION AND STOCHASTIC CONDITIONS IN A RUNNING WAVE CLISTRONE WITH AN EXTERIOR INVERSE CONNECTION

    Zhurnal Tekhnicheskoi Fiziki, 53:1 (1983),  163–166
  74. Î êðèòè÷åñêîì ïîâåäåíèè îäíîìåðíûõ öåïî÷åê

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 9:2 (1983),  94–98

  75. Editorial

    Izvestiya VUZ. Applied Nonlinear Dynamics, 26:4 (2018),  3–4
  76. Editorial

    Izvestiya VUZ. Applied Nonlinear Dynamics, 26:3 (2018),  3–6
  77. Example of blue sky catastrophe accompanied by a birth of Smale–Williams attractor

    Regul. Chaotic Dyn., 15:2-3 (2010),  348–353

© Steklov Math. Inst. of RAS, 2025