chaos, attractor, bifurcation, renormalization group
Main publications:
S. P. Kuznetsov, A. P. Kuznetsov and I. R. Sataev. Multiparameter Critical Situations, Universality and Scaling in Two-Dimensional Period-Doubling Maps. Journal of Statistical Physics, 121, 2005, Nos. 5-6, 697-748.
A.S. Kuznetsov, S.P. Kuznetsov, I.R. Sataev. Parametricheskii generator giperbolicheskogo khaosa na osnove dvukh svyazannykh ostsillyatorov s nelineinoi dissipatsiei. ZhTF, 80, 2010, vyp.12, 1-9.
A. P. Kuznetsov, I. R. Sataev, Yu. V. Sedova, “Analysis of three non-identical josephson junctions by the method of Lyapunov exponent charts”, Izv. Sarat. Univ. Physics, 23:1 (2023), 4–13
2016
2.
I. R. Sataev, A. O. Kazakov, “Scenarios of transition to chaos in the nonholonomic model of a Chaplygin top”, Nelin. Dinam., 12:2 (2016), 235–250
Alexey V. Borisov, Alexey O. Kazakov, Igor R. Sataev, “Spiral Chaos in the Nonholonomic Model of a Chaplygin Top”, Regul. Chaotic Dyn., 21:7-8 (2016), 939–954
Alexander P. Kuznetsov, Natalia A. Migunova, Igor R. Sataev, Yuliya V. Sedova, Ludmila V. Turukina, “From Chaos to Quasi-Periodicity”, Regul. Chaotic Dyn., 20:2 (2015), 189–204
A. P. Kuznetsov, L. V. Turukina, I. R. Sataev, N. Yu. Chernyshov, “Synchronization and multi-frequency quasi-periodicity in the dynamics of coupled oscillators”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:1 (2014), 27–54
6.
Alexander P. Kuznetsov, Natalia A. Migunova, Igor R. Sataev, Julia V. Sedova, Ludmila V. Turukina, “Dynamics of coupled chaotic oscillators: from chaos to quasiperiodicity”, Nelin. Dinam., 10:4 (2014), 387–405
7.
Alexey V. Borisov, Alexey O. Kazakov, Igor R. Sataev, “Regular and chaotic attractors in the nonholonomic model of Chapygin’s ball”, Nelin. Dinam., 10:3 (2014), 361–380
A. P. Kuznetsov, I. R. Sataev, L. V. Turukina, N. Yu. Chernyshov, “Synchronisation in the phase model of three coupled lasers”, Kvantovaya Elektronika, 44:1 (2014), 17–22 [Quantum Electron., 44:1 (2014), 17–22]
9.
Alexey V. Borisov, Alexey O. Kazakov, Igor R. Sataev, “The Reversal and Chaotic Attractor in the Nonholonomic Model of Chaplygin’s Top”, Regul. Chaotic Dyn., 19:6 (2014), 718–733
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
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
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
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
A. P. Kuznetsov, I. R. Sataev, L. V. Turukina, “Forced synchronization of two coupled van der Pol self-oscillators”, Nelin. Dinam., 7:3 (2011), 411–425
A. P. Kuznetsov, I. R. Sataev, L. V. Turukina, “Synchronization and multi-frequency oscillations in the chain of phase oscillators”, Nelin. Dinam., 6:4 (2010), 693–717
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
A. P. Kuznetsov, I. R. Sataev, Yu. V. Sedova, “Dynamics of Coupled Non-Identical Systems with Period-Doubling Cascade”, Regul. Chaotic Dyn., 13:1 (2008), 9–18
1997
18.
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
A. P. Kuznetsov, I. R. Sataev, D. I. Trubetskov, E. S. Seliverstova, “Amazing Robert Adler: Adler’s tube, Adler’s equation, and more”, Izvestiya VUZ. Applied Nonlinear Dynamics, 23:3 (2015), 3–26
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