Kuptsov, Pavel V.; Kuznetsov, Sergey P. Route to hyperbolic hyperchaos in a nonautonomous time-delay system. (English) Zbl 1451.34037 Chaos 30, No. 11, 113113, 15 p. (2020). MSC: 34C15 34K23 34K60 34D08 PDFBibTeX XMLCite \textit{P. V. Kuptsov} and \textit{S. P. Kuznetsov}, Chaos 30, No. 11, 113113, 15 p. (2020; Zbl 1451.34037) Full Text: DOI arXiv
Kuznetsov, Sergeĭ Petrovich Chaos and hyperchaos of geodesic flows on curved manifolds corresponding to mechanically coupled rotators: examples and numerical study. (Russian. English summary) Zbl 1445.37027 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 28, No. 4, 565-581 (2018). MSC: 37D40 37D45 37D20 37D25 70F20 PDFBibTeX XMLCite \textit{S. P. Kuznetsov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 28, No. 4, 565--581 (2018; Zbl 1445.37027) Full Text: DOI arXiv MNR
Doroshenko, Valentina M.; Kruglov, Vyacheslav P.; Kuznetsov, Sergeĭ P. Smale-Williams solenoids in a system of coupled Bonhoeffer-van der Pol oscillators. (English) Zbl 1418.37051 Russ. J. Nonlinear Dyn. 14, No. 4, 435-451 (2018). MSC: 37D20 37D45 34C15 34D08 PDFBibTeX XMLCite \textit{V. M. Doroshenko} et al., Russ. J. Nonlinear Dyn. 14, No. 4, 435--451 (2018; Zbl 1418.37051) Full Text: DOI arXiv MNR
Kuptsov, Pavel V.; Kuznetsov, Sergey P. Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction. (English) Zbl 1412.37045 Regul. Chaotic Dyn. 23, No. 7-8, 908-932 (2018). MSC: 37D45 37D30 37D25 37C70 PDFBibTeX XMLCite \textit{P. V. Kuptsov} and \textit{S. P. Kuznetsov}, Regul. Chaotic Dyn. 23, No. 7--8, 908--932 (2018; Zbl 1412.37045) Full Text: DOI arXiv
Borisov, Alexey V.; Kuznetsov, Sergey P. 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. (English) Zbl 1412.37065 Regul. Chaotic Dyn. 23, No. 7-8, 803-820 (2018). MSC: 37J60 70F25 70E50 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{S. P. Kuznetsov}, Regul. Chaotic Dyn. 23, No. 7--8, 803--820 (2018; Zbl 1412.37065) Full Text: DOI
Kuznetsov, Sergey P.; Sedova, Yuliya V. Hyperbolic chaos in systems based on Fitzhugh-Nagumo model neurons. (English) Zbl 1410.37037 Regul. Chaotic Dyn. 23, No. 4, 458-470 (2018). MSC: 37D45 37D05 37D20 37M25 82C32 92B20 PDFBibTeX XMLCite \textit{S. P. Kuznetsov} and \textit{Y. V. Sedova}, Regul. Chaotic Dyn. 23, No. 4, 458--470 (2018; Zbl 1410.37037) Full Text: DOI
Doroshenko, Valentina Mikhaĭlovna; Kruglov, Vyacheslav Pavlovich; Kuznetsov, Sergeĭ Petrovich Chaos generator with the Smale-Williams attractor based on oscillation death. (Russian. English summary) Zbl 1375.37084 Nelineĭn. Din. 13, No. 3, 303-316 (2017). MSC: 37D20 37D45 34C15 34D08 PDFBibTeX XMLCite \textit{V. M. Doroshenko} et al., Nelineĭn. Din. 13, No. 3, 303--316 (2017; Zbl 1375.37084) Full Text: DOI MNR
Kuznetsov, Sergey P. Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage: testing absence of tangencies of stable and unstable manifolds for phase trajectories. (English) Zbl 1344.37046 Regul. Chaotic Dyn. 20, No. 6, 649-666 (2015); translation in Nelineĭn. Din. 12, No. 1, 121-143 (2016). MSC: 37D45 34D08 32Q05 70F20 37M05 37M25 PDFBibTeX XMLCite \textit{S. P. Kuznetsov}, Regul. Chaotic Dyn. 20, No. 6, 649--666 (2015; Zbl 1344.37046); translation in Nelineĭn. Din. 12, No. 1, 121--143 (2016) Full Text: DOI arXiv
Kuznetsov, Sergey P. Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models. (English) Zbl 1327.34089 Regul. Chaotic Dyn. 20, No. 3, 345-382 (2015). MSC: 34C60 34C15 76D99 34D05 34C05 34D08 34D45 34C23 34C28 PDFBibTeX XMLCite \textit{S. P. Kuznetsov}, Regul. Chaotic Dyn. 20, No. 3, 345--382 (2015; Zbl 1327.34089) Full Text: DOI
Borisov, Alexey V.; Jalnine, Alexey Yu.; Kuznetsov, Sergey P.; Sataev, Igor R.; Sedova, Julia V. Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback. (English) Zbl 1263.74021 Regul. Chaotic Dyn. 17, No. 6, 512-532 (2012). MSC: 74F10 93D20 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 17, No. 6, 512--532 (2012; Zbl 1263.74021) Full Text: DOI
Kuznetsov, S. P.; Tyuryukina, L. V. Attractors of Smale-Williams type in periodically kicked model systems. (Russian) Zbl 1249.37017 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 18, No. 5, 80-92 (2010). MSC: 37D45 37D25 37D15 PDFBibTeX XMLCite \textit{S. P. Kuznetsov} and \textit{L. V. Tyuryukina}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 18, No. 5, 80--92 (2010; Zbl 1249.37017)
Kuznetsov, S. P.; Sokha, Yu. I. Hyperchaos in model nonautonomous system with a cascade excitation transmission through the spectrum. (Russian) Zbl 1224.34134 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 18, No. 3, 24-32 (2010). MSC: 34C28 34C15 37D45 34D08 PDFBibTeX XMLCite \textit{S. P. Kuznetsov} and \textit{Yu. I. Sokha}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 18, No. 3, 24--32 (2010; Zbl 1224.34134)
Kuznetsov, A. P.; Kuznetsov, S. P.; Stankevich, N. V. Autonomous generator of quasi-periodic oscillations. (Russian) Zbl 1224.34140 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 18, No. 2, 51-61 (2010). MSC: 34C46 34C27 34D08 34D45 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 18, No. 2, 51--61 (2010; Zbl 1224.34140)
Kuznetsov, Sergey P. Plykin-type attractor in nonautonomous coupled oscillators. (English) Zbl 1311.34078 Chaos 19, No. 1, 013114, 10 p. (2009). MSC: 34C15 34D45 34D08 37C60 37C70 PDFBibTeX XMLCite \textit{S. P. Kuznetsov}, Chaos 19, No. 1, 013114, 10 p. (2009; Zbl 1311.34078) Full Text: DOI arXiv
Ajdarova, Yu. S.; Kuznetsov, S. P. Chaotic dynamic of the Hunt model-artificially constructed flow system with a hyperbolic attractor. (Russian) Zbl 1199.37147 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 16, No. 3, 176-196 (2008). Reviewer: Andrei Zemskov (Moskva) MSC: 37L30 37D45 PDFBibTeX XMLCite \textit{Yu. S. Ajdarova} and \textit{S. P. Kuznetsov}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 16, No. 3, 176--196 (2008; Zbl 1199.37147) Full Text: arXiv
Kuznetsov, A. P.; Kuznetsov, S. P. Exercises for an educational course “Dynamical Chaos”. (Russian) Zbl 1199.37001 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 16, No. 1, 51-60 (2008). MSC: 37-01 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} and \textit{S. P. Kuznetsov}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 16, No. 1, 51--60 (2008; Zbl 1199.37001)
Kim, Sang-Yoon; Lim, Woochang; Kuznetsov, S. P. Characterization of the parameter mismatching and noise effect on weak synchronization. (English) Zbl 1048.37506 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 11, No. 2, 81-86 (2003). Reviewer: Evgenij Nechaev (Moskva) MSC: 37D45 37G35 37E05 93D99 PDFBibTeX XMLCite \textit{S.-Y. Kim} et al., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 11, No. 2, 81--86 (2003; Zbl 1048.37506)