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Kuznetsov, Sergey Petrovich

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Total publications: 77
Scientific articles: 74

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Kuznetsov, Sergey Petrovich
Professor
Doctor of physico-mathematical sciences (1987)
Speciality: 01.04.03 (Radio physics)
Birth date: 10.01.1951
Website: https://www.sgtnd.narod.ru/staff/spkuz/rus/index.htm
Keywords: chaos, attactor, bifurcation.
UDC: 517.9, 517.548
MSC: 37D45, 15A66, 46S99, 30G35

Subject:

Nonlinear dynamics, chaos, electronics.

Biography

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

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Publications in Math-Net.Ru Citations
2022
1. S. P. Kuznetsov, L. V. Turukina, “Generalized Rabinovich-Fabrikant system: equations and its dynamics”, Izvestiya VUZ. Applied Nonlinear Dynamics, 30:1 (2022),  7–29  mathnet 2
2020
2. 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 3
3. 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
4. S. P. Kuznetsov, “Some Lattice Models with Hyperbolic Chaotic Attractors”, Rus. J. Nonlin. Dyn., 16:1 (2020),  13–21  mathnet  elib  scopus 2
2019
5. S. P. Kuznetsov, “Self-oscillating system generating rough hyperbolic chaos”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:6 (2019),  39–62  mathnet
6. S. P. Kuznetsov, “Chaotic dynamics of pendulum ring chain with vibrating suspension”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:4 (2019),  99–113  mathnet  elib
7. 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
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  mathnet  elib 2
9. S. P. Kuznetsov, “Complex Dynamics in Generalizations of the Chaplygin Sleigh”, Rus. J. Nonlin. Dyn., 15:4 (2019),  551–559  mathnet  elib  scopus 1
10. S. P. Kuznetsov, “Generation of Robust Hyperbolic Chaos in CNN”, Rus. J. Nonlin. Dyn., 15:2 (2019),  109–124  mathnet  elib 1
11. 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 1
2018
12. 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  mathnet
13. S. P. Kuznetsov, “Simple electronic chaos generators and their circuit simulation”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:3 (2018),  35–61  mathnet  elib 2
14. 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
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  mathnet  elib 1
16. 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 3
17. 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 18
18. 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 11
19. Sergey P. Kuznetsov, Yuliya V. Sedova, “Hyperbolic Chaos in Systems Based on FitzHugh–Nagumo Model Neurons”, Regul. Chaotic Dyn., 23:4 (2018),  458–470  mathnet  mathscinet  isi  scopus 6
20. 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 17
21. 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 1
2017
22. 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 20
23. 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  mathnet  elib
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  mathnet  elib; Regular and Chaotic Dynamics, 22:3 (2017), 210–225  scopus 7
25. 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 3
26. 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 7
27. S. P. Kuznetsov, V. P. Kruglov, “On some simple examples of mechanical systems with hyperbolic chaos”, Trudy Mat. Inst. Steklova, 297 (2017),  232–259  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 297 (2017), 208–234  isi  scopus 7
2016
28. 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  mathnet
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  mathnet 1
30. 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
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  mathnet  elib; Tech. Phys., 61:3 (2016), 436–445 3
32. 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
33. 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 9
34. 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  mathnet  elib; Tech. Phys. Lett., 42:9 (2016), 886–890 15
35. 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 23
36. 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 12
2015
37. 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  mathnet 2
38. 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
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  mathnet
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  mathnet  elib 7
41. 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 9
42. 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 29
43. 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 6
2014
44. Arzhanukhina, S. P. Kuznetsov, “Robust chaos in autonomous time-delay system”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:2 (2014),  36–49  mathnet
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  mathnet 6
46. 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  mathnet  mathscinet  zmath  isi 10
47. 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
2013
48. 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 3
49. 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 7
2012
50. 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
51. 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 13
52. 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
53. 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 55
2011
54. 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 77
2009
55. 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 8
2008
56. 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
2006
57. 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 7
58. 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 3
2005
59. 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 2
2002
60. 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 2
2000
61. 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 9
1997
62. 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
1992
63. A. P. Kuznetsov, S. P. Kuznetsov, “GENERATOR OF FRACTAL SIGNALS”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 18:24 (1992),  19–22  mathnet
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  mathnet
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  mathnet 1
1989
66. 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
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  mathnet
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  mathnet 1
1987
69. 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 1
1986
70. 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
1985
71. S. P. Kuznetsov, “SCALE-INVARIANT STRUCTURE OF THE PARAMETER SPACE FOR COUPLED FEIGENBAUM SYSTEMS”, Zhurnal Tekhnicheskoi Fiziki, 55:9 (1985),  1830–1834  mathnet 1
1984
72. 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
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  mathnet
74. S. P. Kuznetsov, “Î êðèòè÷åñêîì ïîâåäåíèè îäíîìåðíûõ öåïî÷åê”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 9:2 (1983),  94–98  mathnet

2018
75. S. P. Kuznetsov, “Editorial”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:4 (2018),  3–4  mathnet
76. S. P. Kuznetsov, “Editorial”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:3 (2018),  3–6  mathnet
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  mathnet 10

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