Kuznetsov, Aleksandr Petrovich; Kuznetsov, Sergeĭ Petrovich; Sedova, Yuliya Viktorovna Pendulum system with an infinite number of equilibrium states and quasiperiodic dynamics. (Russian. English summary) Zbl 1372.70017 Nelineĭn. Din. 12, No. 2, 223-234 (2016). MSC: 70E17 70K43 37C55 37C70 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Nelineĭn. Din. 12, No. 2, 223--234 (2016; Zbl 1372.70017) Full Text: DOI MNR
Kuznetsov, Alexander P.; Migunova, Natalia A.; Sataev, Igor R.; Sedova, Yuliya V.; Turukina, Ludmila V. From chaos to quasi-periodicity. (English) Zbl 1367.70049 Regul. Chaotic Dyn. 20, No. 2, 189-204 (2015). MSC: 70K43 34C28 34C23 65P20 65P30 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Regul. Chaotic Dyn. 20, No. 2, 189--204 (2015; Zbl 1367.70049) Full Text: DOI
Stankevich, N. V.; Kurths, J.; Kuznetsov, A. P. Forced synchronization of quasiperiodic oscillations. (English) Zbl 1306.37039 Commun. Nonlinear Sci. Numer. Simul. 20, No. 1, 316-323 (2015). MSC: 37D45 34C28 34C15 34E13 34D06 70K43 70K55 PDFBibTeX XMLCite \textit{N. V. Stankevich} et al., Commun. Nonlinear Sci. Numer. Simul. 20, No. 1, 316--323 (2015; Zbl 1306.37039) Full Text: DOI
Kuznetsov, Aleksander P.; Migunova, Nataliya A.; Sataev, Igor R.; Sedova, Yuliya V.; Turukina, Ludmila V. Dynamics of coupled chaotic oscillators: from chaos to quasiperiodicity. (Russian. English summary) Zbl 1316.70023 Nelineĭn. Din. 10, No. 4, 387-406 (2014). MSC: 70K55 70K43 65P20 65P30 34D08 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Nelineĭn. Din. 10, No. 4, 387--406 (2014; Zbl 1316.70023) Full Text: DOI MNR
Kuznetsov, A. P.; Paksyutov, V. I. Dynamics of the Sprott’s coupled oscillators with nonidentical control parameters. (Russian) Zbl 1201.37043 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 15, No. 3, 95-106 (2007). Reviewer: Evgenij Nechaev (Moskva) MSC: 37D45 70K05 70K50 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} and \textit{V. I. Paksyutov}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 15, No. 3, 95--106 (2007; Zbl 1201.37043)
Kuznetsov, A. P.; Kuznetsov, S. P.; Savin, A. V.; Sataev, I. R. Critical behavior of asymmetrically coupled noisy driven non-identical systems with period-doubling. (Russian. English summary) Zbl 1119.70319 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 14, No. 5, 62-72 (2006). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 70K55 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 14, No. 5, 62--72 (2006; Zbl 1119.70319)
Kuznetsov, A. P.; Sedava, Yu. V.; Sataev, I. R. The structure of the space of control parameters of nonidentical-coupled systems with a doubling period. (Russian) Zbl 1127.70312 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 12, No. 5, 46-57 (2004). Reviewer: Evgenij Nechaev (Moskva) MSC: 70K55 37D45 34C23 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 12, No. 5, 46--57 (2004; Zbl 1127.70312)
Kuznetsova, A. Yu.; Kuznetsov, A. P.; Knudsen, C.; Mosekilde, E. Catastrophe theoretic classification of nonlinear oscillators. (English) Zbl 1099.70016 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 4, 1241-1266 (2004). MSC: 70K55 34C15 58K35 PDFBibTeX XMLCite \textit{A. Yu. Kuznetsova} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 4, 1241--1266 (2004; Zbl 1099.70016) Full Text: DOI
Kuznetsov, A. P.; Kuznetsova, A. Yu.; Sataev, I. R. Critical behavior of the map with Neimark-Sackers bifurcation for the phase synchronization breakup at the accumulation point of period doubling cascade. (Russian) Zbl 1109.70306 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 11, No. 1, 12-17 (2003). Reviewer: Mikhail Kalugin (Moskva) MSC: 70K50 70K55 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 11, No. 1, 12--17 (2003; Zbl 1109.70306)
Kuznetsov, A. P.; Turukina, L. V.; Mosekilde, E. Dynamical systems of different classes as models of the kicked nonlinear oscillator. (English) Zbl 1090.37521 Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 4, 1065-1077 (2001). MSC: 37D45 37E05 70K55 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 4, 1065--1077 (2001; Zbl 1090.37521) Full Text: DOI
Kuznetsov, A. P.; Tyuryukina, L. V. Excited van der Pol oscillator: from differential equation to map. (Russian) Zbl 1084.70507 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 9, No. 6, 69-82 (2001). Reviewer: Andrei Zemskov (Moskva) MSC: 70K05 70K50 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} and \textit{L. V. Tyuryukina}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 9, No. 6, 69--82 (2001; Zbl 1084.70507)
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R. Variety of types of critical behavior and multistability in period-doubling systems with unidirectional coupling near the onset of chaos. (English) Zbl 0900.70329 Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, No. 1, 139-152 (1993). MSC: 70K50 PDFBibTeX XMLCite \textit{A. P. Kuznetsov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, No. 1, 139--152 (1993; Zbl 0900.70329) Full Text: DOI