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Kuznetsov, Aleksandr Petrovich

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Author ID: kuznetsov.aleksandr-petrovich Recent zbMATH articles by "Kuznetsov, Aleksandr Petrovich"
Published as: Kuznetsov, A.; Kuznetsov, A. P.; Kuznetsov, Aleksander P.; Kuznetsov, Aleksandr Petrovich; Kuznetsov, Alexander; Kuznetsov, Alexander P.
External Links: Math-Net.Ru
Documents Indexed: 87 Publications since 1961, including 1 Book

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 180 times in 118 Documents Cited by Year
Co-existing hidden attractors in a radio-physical oscillator system. Zbl 1316.34016
Kuznetsov, A. P.; Kuznetsov, S. P.; Mosekilde, E.; Stankevich, N. V.
29
2015
Coupled Van der Pol-Duffing oscillators: phase dynamics and structure of synchronization tongues. Zbl 1191.34068
Kuznetsov, A. P.; Stankevich, N. V.; Turukina, L. V.
16
2009
A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos. Zbl 0925.58058
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
12
1997
Two-parameter study of transition to chaos in Chua’s circuit: renormalization group, universality and scaling. Zbl 0894.58043
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.; Chua, L. O.
11
1993
Properties of synchronization in the systems of non-identical coupled van der Pol and van der Pol-Duffing oscillators. Broadband synchronization. Zbl 1178.34057
Kuznetsov, Alexander P.; Roman, Julia P.
10
2009
Synchronization and multi-frequency oscillations in the low-dimensional chain of the self-oscillators. Zbl 1326.34100
Emelianova, Yu. P.; Kuznetsov, A. P.; Sataev, I. R.; Turukina, L. V.
8
2013
Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps. Zbl 1127.37037
Kuznetsov, S. P.; Kuznetsov, A. P.; Sataev, I. R.
8
2005
Multi-parameter criticality in Chua’s circuit at period-doubling transition to chaos. Zbl 0870.58061
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.; Chua, L. O.
8
1996
About Landau-Hopf scenario in a system of coupled self-oscillators. Zbl 1304.34073
Kuznetsov, Alexander P.; Kuznetsov, Sergey P.; Sataev, Igor R.; Turukina, Ludmila V.
6
2013
Forced synchronization of quasiperiodic oscillations. Zbl 1306.37039
Stankevich, N. V.; Kurths, J.; Kuznetsov, A. P.
5
2015
Low-dimensional discrete Kuramoto model: hierarchy of multifrequency quasiperiodicity regimes. Zbl 1300.37014
Kuznetsov, Alexander P.; Sedova, Yuliya V.
5
2014
On the road towards multidimensional tori. Zbl 1221.34098
Kuznetsov, A. P.; Sataev, I. R.; Turukina, L. V.
5
2011
From chaos to quasi-periodicity. Zbl 1367.70049
Kuznetsov, Alexander P.; Migunova, Natalia A.; Sataev, Igor R.; Sedova, Yuliya V.; Turukina, Ludmila V.
4
2015
Nonlinearity: from oscillations to chaos. Zbl 1199.37003
Kuznetsov, A. P.; Kuznetsov, S. P.; Ryskin, N. M.; Isaeva, O. B.
4
2008
Dynamical systems of different classes as models of the kicked nonlinear oscillator. Zbl 1090.37521
Kuznetsov, A. P.; Turukina, L. V.; Mosekilde, E.
4
2001
Variety of types of critical behavior and multistability in period-doubling systems with unidirectional coupling near the onset of chaos. Zbl 0900.70329
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
4
1993
Quasi-periodic bifurcations and “amplitude death” in low-dimensional ensemble of van der Pol oscillators. Zbl 1396.34031
Emelianova, Yu. P.; Kuznetsov, A. P.; Turukina, L. V.
3
2014
Nonautonomous dynamics of coupled van der Pol oscillators in the regime of amplitude death. Zbl 1351.34039
Kuznetsov, A. P.; Seleznev, E. P.; Stankevich, N. V.
3
2012
Two-parameter analysis of the scaling behavior at the onset of chaos: tricritical and pseudo-tricritical points. Zbl 0973.37031
Kuznetsov, Alexander P.; Kuznetsov, Sergey P.; Mosekilde, Erik; Turukina, Ludmila V.
3
2001
Three-parameter scaling for one-dimensional maps. Zbl 0959.37505
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
3
1994
Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator. Zbl 1430.37042
Stankevich, Nataliya; Kuznetsov, Alexander; Popova, Elena; Seleznev, Evgeniy
2
2019
The simplest map with three-frequency quasi-periodicity and quasi-periodic bifurcations. Zbl 1345.37020
Kuznetsov, Alexander P.; Sedova, Yuliya V.
2
2016
Bifurcations of three-and four-dimensional maps: universal properties. Zbl 1274.34117
Kuznetsov, A. P.; Sedova, J. V.
2
2012
Synchronization of coupled anisochronous auto-oscillating systems. Zbl 1175.34048
Kuznetsov, A. P.; Roman, Ju. P.
2
2009
Synchronization in systems with a bimodal dynamics. Zbl 1119.34322
Kuznetsov, A. P.; Mosekilde, E.; Tyuryukina, L. V.
2
2006
Catastrophe theoretic classification of nonlinear oscillators. Zbl 1099.70016
Kuznetsova, A. Yu.; Kuznetsov, A. P.; Knudsen, C.; Mosekilde, E.
2
2004
About dynamics of two van der Pol-Duffing oscillators with dissipative coupling. Zbl 1397.37034
Kuznetsov, A. P.; Paksyutov, Vladimir Igor’evich
2
2003
Bicritical dynamics of period-doubling systems with unidirectional coupling. Zbl 0874.58042
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
2
1991
Period doubling system under fractal signal: Bifurcation in the renormalization group equation. Zbl 0755.58041
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
2
1991
Oscillations and synchronization in a system of three reactively coupled oscillators. Zbl 1334.34084
Kuznetsov, Alexander P.; Turukina, Ludmila V.; Chernyshov, Nikolai Yu.; Sedova, Yuliya V.
1
2016
Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation. Zbl 1395.37024
Felk, E. V.; Kuznetsov, A. P.; Savin, A. V.
1
2014
Quasiperiodic dynamics of three coupled logistic maps. Zbl 1349.37081
Dementyeva, Irina S.; Kuznetsov, Alexander P.; Savin, Alexey V.; Sedova, Yuliya V.
1
2014
Phase dynamics of periodically driven quasiperiodic self-vibrating oscillators. Zbl 1249.34117
Kuznetsov, A. P.; Sataev, I. R.; Tyuryukina, L. V.
1
2010
A note on life-span of classical solutions to the Hele-Shaw problem. Zbl 1297.76065
Kuznetsov, Alexander
1
2009
Coupled van der Pol and van der Pol-Duffing oscillators: dynamics of phase and computer simulation. Zbl 1397.34088
Kuznetsov, Aleksandr Petrovich; Stankevich, Nataliya Vladimirovna; Tyuryukina, Lyudmila Vladimirovna
1
2008
Properties of synchronization in a system of non-identical coupled van der Pol and van der Pol–Duffing oscillators. Zbl 1201.34057
Kuznetsov, A. P.; Paksyutov, V. I.; Roman, Yu. P.
1
2007
Special features of the parameter space construction of two nonidentical coupled Van der Pol-Duffing oscillators. Zbl 1089.34516
Kuznetsov, A. P.; Paksyutov, V. I.
1
2005
Multi-parameter picture of transition to chaos. Zbl 1049.37509
Kuznetsov, A. P.; Tyuryukina, L. V.; Savin, A. V.; Sataev, I. R.; Sedova, Yu. V.; Milovanov, S. V.
1
2002
Codimension and typicality in the context of description of transmission to chaos via period-doubling in dissipative dynamical systems. Zbl 1004.37503
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
1
1997
From bimodal one-dimensional maps to Hénon-like two-dimensional maps: does quantitative universality survive? Zbl 0959.37503
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
1
1994
Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator. Zbl 1430.37042
Stankevich, Nataliya; Kuznetsov, Alexander; Popova, Elena; Seleznev, Evgeniy
2
2019
The simplest map with three-frequency quasi-periodicity and quasi-periodic bifurcations. Zbl 1345.37020
Kuznetsov, Alexander P.; Sedova, Yuliya V.
2
2016
Oscillations and synchronization in a system of three reactively coupled oscillators. Zbl 1334.34084
Kuznetsov, Alexander P.; Turukina, Ludmila V.; Chernyshov, Nikolai Yu.; Sedova, Yuliya V.
1
2016
Co-existing hidden attractors in a radio-physical oscillator system. Zbl 1316.34016
Kuznetsov, A. P.; Kuznetsov, S. P.; Mosekilde, E.; Stankevich, N. V.
29
2015
Forced synchronization of quasiperiodic oscillations. Zbl 1306.37039
Stankevich, N. V.; Kurths, J.; Kuznetsov, A. P.
5
2015
From chaos to quasi-periodicity. Zbl 1367.70049
Kuznetsov, Alexander P.; Migunova, Natalia A.; Sataev, Igor R.; Sedova, Yuliya V.; Turukina, Ludmila V.
4
2015
Low-dimensional discrete Kuramoto model: hierarchy of multifrequency quasiperiodicity regimes. Zbl 1300.37014
Kuznetsov, Alexander P.; Sedova, Yuliya V.
5
2014
Quasi-periodic bifurcations and “amplitude death” in low-dimensional ensemble of van der Pol oscillators. Zbl 1396.34031
Emelianova, Yu. P.; Kuznetsov, A. P.; Turukina, L. V.
3
2014
Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation. Zbl 1395.37024
Felk, E. V.; Kuznetsov, A. P.; Savin, A. V.
1
2014
Quasiperiodic dynamics of three coupled logistic maps. Zbl 1349.37081
Dementyeva, Irina S.; Kuznetsov, Alexander P.; Savin, Alexey V.; Sedova, Yuliya V.
1
2014
Synchronization and multi-frequency oscillations in the low-dimensional chain of the self-oscillators. Zbl 1326.34100
Emelianova, Yu. P.; Kuznetsov, A. P.; Sataev, I. R.; Turukina, L. V.
8
2013
About Landau-Hopf scenario in a system of coupled self-oscillators. Zbl 1304.34073
Kuznetsov, Alexander P.; Kuznetsov, Sergey P.; Sataev, Igor R.; Turukina, Ludmila V.
6
2013
Nonautonomous dynamics of coupled van der Pol oscillators in the regime of amplitude death. Zbl 1351.34039
Kuznetsov, A. P.; Seleznev, E. P.; Stankevich, N. V.
3
2012
Bifurcations of three-and four-dimensional maps: universal properties. Zbl 1274.34117
Kuznetsov, A. P.; Sedova, J. V.
2
2012
On the road towards multidimensional tori. Zbl 1221.34098
Kuznetsov, A. P.; Sataev, I. R.; Turukina, L. V.
5
2011
Phase dynamics of periodically driven quasiperiodic self-vibrating oscillators. Zbl 1249.34117
Kuznetsov, A. P.; Sataev, I. R.; Tyuryukina, L. V.
1
2010
Coupled Van der Pol-Duffing oscillators: phase dynamics and structure of synchronization tongues. Zbl 1191.34068
Kuznetsov, A. P.; Stankevich, N. V.; Turukina, L. V.
16
2009
Properties of synchronization in the systems of non-identical coupled van der Pol and van der Pol-Duffing oscillators. Broadband synchronization. Zbl 1178.34057
Kuznetsov, Alexander P.; Roman, Julia P.
10
2009
Synchronization of coupled anisochronous auto-oscillating systems. Zbl 1175.34048
Kuznetsov, A. P.; Roman, Ju. P.
2
2009
A note on life-span of classical solutions to the Hele-Shaw problem. Zbl 1297.76065
Kuznetsov, Alexander
1
2009
Nonlinearity: from oscillations to chaos. Zbl 1199.37003
Kuznetsov, A. P.; Kuznetsov, S. P.; Ryskin, N. M.; Isaeva, O. B.
4
2008
Coupled van der Pol and van der Pol-Duffing oscillators: dynamics of phase and computer simulation. Zbl 1397.34088
Kuznetsov, Aleksandr Petrovich; Stankevich, Nataliya Vladimirovna; Tyuryukina, Lyudmila Vladimirovna
1
2008
Properties of synchronization in a system of non-identical coupled van der Pol and van der Pol–Duffing oscillators. Zbl 1201.34057
Kuznetsov, A. P.; Paksyutov, V. I.; Roman, Yu. P.
1
2007
Synchronization in systems with a bimodal dynamics. Zbl 1119.34322
Kuznetsov, A. P.; Mosekilde, E.; Tyuryukina, L. V.
2
2006
Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps. Zbl 1127.37037
Kuznetsov, S. P.; Kuznetsov, A. P.; Sataev, I. R.
8
2005
Special features of the parameter space construction of two nonidentical coupled Van der Pol-Duffing oscillators. Zbl 1089.34516
Kuznetsov, A. P.; Paksyutov, V. I.
1
2005
Catastrophe theoretic classification of nonlinear oscillators. Zbl 1099.70016
Kuznetsova, A. Yu.; Kuznetsov, A. P.; Knudsen, C.; Mosekilde, E.
2
2004
About dynamics of two van der Pol-Duffing oscillators with dissipative coupling. Zbl 1397.37034
Kuznetsov, A. P.; Paksyutov, Vladimir Igor’evich
2
2003
Multi-parameter picture of transition to chaos. Zbl 1049.37509
Kuznetsov, A. P.; Tyuryukina, L. V.; Savin, A. V.; Sataev, I. R.; Sedova, Yu. V.; Milovanov, S. V.
1
2002
Dynamical systems of different classes as models of the kicked nonlinear oscillator. Zbl 1090.37521
Kuznetsov, A. P.; Turukina, L. V.; Mosekilde, E.
4
2001
Two-parameter analysis of the scaling behavior at the onset of chaos: tricritical and pseudo-tricritical points. Zbl 0973.37031
Kuznetsov, Alexander P.; Kuznetsov, Sergey P.; Mosekilde, Erik; Turukina, Ludmila V.
3
2001
A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos. Zbl 0925.58058
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
12
1997
Codimension and typicality in the context of description of transmission to chaos via period-doubling in dissipative dynamical systems. Zbl 1004.37503
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
1
1997
Multi-parameter criticality in Chua’s circuit at period-doubling transition to chaos. Zbl 0870.58061
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.; Chua, L. O.
8
1996
Three-parameter scaling for one-dimensional maps. Zbl 0959.37505
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
3
1994
From bimodal one-dimensional maps to Hénon-like two-dimensional maps: does quantitative universality survive? Zbl 0959.37503
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
1
1994
Two-parameter study of transition to chaos in Chua’s circuit: renormalization group, universality and scaling. Zbl 0894.58043
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.; Chua, L. O.
11
1993
Variety of types of critical behavior and multistability in period-doubling systems with unidirectional coupling near the onset of chaos. Zbl 0900.70329
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
4
1993
Bicritical dynamics of period-doubling systems with unidirectional coupling. Zbl 0874.58042
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
2
1991
Period doubling system under fractal signal: Bifurcation in the renormalization group equation. Zbl 0755.58041
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.
2
1991
all top 5

Cited by 241 Authors

14 Kuznetsov, Sergey P.
12 Kuznetsov, Aleksandr Petrovich
10 Kuznetsov, Nikolay Vladimirovich
8 Leonov, Gennadiĭ Alekseevich
8 Stankevich, Nataliya Vladimirovna
6 Sataev, Igor’ Rustamovich
5 Kapitaniak, Tomasz
5 Kengne, Jacques
5 Sedova, Yuliya Viktorovna
4 Kuptsov, Pavel V.
4 Prasad, Awadhesh
4 Yorke, James Alan
3 Dudkowski, Dawid
3 Sander, Evelyn
3 Shnirman, Mikhail
3 Turukina, Ludmila V.
3 Zhang, Wei
2 Astakhov, Vladimir V.
2 Banerjee, Soumitro
2 Bao, Bocheng
2 Bao, Han
2 Borisov, Alekseĭ Vladimirovich
2 Cao, Kefei
2 Chen, Mo
2 Elsonbaty, Amr R.
2 Inaba, Naohiko
2 Kiseleva, M. A.
2 Kruglov, Vyacheslav Pavlovich
2 Kurths, Jürgen
2 Laugesen, Jakob L.
2 Li, Xianyi
2 Matsuba, Ikuo
2 Mira, Christian
2 Mokaev, R. N.
2 Moroz, Irene M.
2 Mosekilde, Erik
2 Patra, Mahashweta
2 Peng, Shouli
2 Qian, Youhua
2 Shapoval, Alexander
2 Tamba, V. Kamdoum
2 Wang, Haijun
2 Wei, Zhouchao
2 Zhang, Tonghua
1 Adhyapok, Priyom
1 Akaev, A. A.
1 Akgul, Akif
1 Al-khedhairi, A.
1 Ashwin, Peter
1 Astakhov, Sergey V.
1 Awrejcewicz, Jan
1 Bazhenov, V. A.
1 Beims, Marcus W.
1 Beregov, R. Y.
1 Bick, Christian
1 Blanter, Elena
1 Bosi, Stefano
1 Bourke, Paul D.
1 Bruder, Christoph
1 Bulanov, Sergei V.
1 Califano, Francesco
1 Chen, Guanrong
1 Chen, Lansun
1 Chen, Shengmin
1 Chen, Yangquan
1 Chen, Zhongxuan
1 Chernyshov, Nikolai Yu.
1 Chua, Leon Ong
1 Danca, Marius-Florin
1 Desmarchelier, David
1 Ding, Liwang
1 Du, Baoxiang
1 Dvorak, Anton
1 El-Sayed, Ahmed Mohamed Ahmed
1 Elsadany, Abdelalim A.
1 Endo, Tetsuro
1 Enjieu Kadji, Herve Germain
1 Esirkepov, Timur Zh.
1 Etchegoin, P.
1 Feudel, Ulrike
1 Filatrella, Giovanni
1 Fozin, Theophile Fonzin
1 Frisman, Efim Yakovlevich
1 Fujiwara, Naoya
1 Gallas, Jason Alfredo Carlson
1 Gao, Shujing
1 Ghosh, Bapan
1 Gonchenko, Serey V.
1 Graczyk, Piotr
1 Grebogi, Celso
1 Gu, Shuangquan
1 Guan, Yu
1 Gulai, Artem
1 Gupta, Vikrant
1 Ha, Seung-Yeal
1 Holstein-Rathlou, Niels-Henrik
1 Huang, Anshan
1 Hunt, Brian R.
1 Ivanov, Aleksandr Aleksandrovich
1 Ivanova, Anna S.
...and 141 more Authors
all top 5

Cited in 43 Serials

23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
12 Physica D
12 Chaos
9 Nonlinear Dynamics
8 Chaos, Solitons and Fractals
7 Regular and Chaotic Dynamics
5 Communications in Nonlinear Science and Numerical Simulation
2 Journal of the Franklin Institute
2 Journal of Statistical Physics
2 Physica A
2 Complexity
2 Discrete Dynamics in Nature and Society
1 Acta Mechanica
1 Journal of Applied Mathematics and Mechanics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Nonlinearity
1 Physics Letters. A
1 Physics Reports
1 Applied Mathematics and Computation
1 Memoirs of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Mathematical Social Sciences
1 Journal of Economic Dynamics & Control
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Doklady Akademii Nauk
1 Mathematical Problems in Engineering
1 Doklady Mathematics
1 Differential Equations and Dynamical Systems
1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
1 Journal of Nonlinear Mathematical Physics
1 Differential Equations
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Dynamical Systems
1 Stochastics and Dynamics
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Annalen der Physik
1 Journal of Applied Analysis and Computation
1 Journal of Nonlinear Dynamics
1 Applied Mathematics and Nonlinear Sciences

Citations by Year