Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Prikladnaya Nelineĭnaya Dinamika Short Title: Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. Publisher: Saratov Chernyshevsky State University (Saratovskiĭ Gosudarstvennyĭ Universitet Im. N. G. Chernyshevskogo), Saratov ISSN: 0869-6632 Comments: No longer indexed Documents Indexed: 599 Publications (2000–2014) all top 5 Latest Issues 22, No. 2 (2014) 22, No. 1 (2014) 21, No. 6 (2013) 21, No. 4 (2013) 21, No. 3 (2013) 21, No. 1 (2013) 20, No. 6 (2012) 20, No. 5 (2012) 20, No. 4 (2012) 20, No. 3 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 6 (2011) 19, No. 5 (2011) 19, No. 4 (2011) 19, No. 3 (2011) 19, No. 2 (2011) 19, No. 1 (2011) 18, No. 6 (2010) 18, No. 5 (2010) 18, No. 4 (2010) 18, No. 3 (2010) 18, No. 2 (2010) 18, No. 1 (2010) 17, No. 6 (2009) 17, No. 5 (2009) 17, No. 4 (2009) 17, No. 3 (2009) 17, No. 2 (2009) 17, No. 1 (2009) 16, No. 6 (2008) 16, No. 5 (2008) 16, No. 4 (2008) 16, No. 3 (2008) 16, No. 2 (2008) 16, No. 1 (2008) 15, No. 6 (2007) 15, No. 5 (2007) 15, No. 4 (2007) 15, No. 3 (2007) 15, No. 2 (2007) 15, No. 1 (2007) 14, No. 6 (2006) 14, No. 5 (2006) 14, No. 4 (2006) 14, No. 3 (2006) 14, No. 2 (2006) 14, No. 1 (2006) 13, No. 5-6 (2005) 13, No. 4 (2005) 13, No. 3 (2005) 13, No. 1-2 (2005) 12, No. 6 (2004) 12, No. 5 (2004) 12, No. 3 (2004) 12, No. 1-2 (2004) 11, No. 6 (2003) 11, No. 4-5 (2003) 11, No. 3 (2003) 11, No. 2 (2003) 11, No. 1 (2003) 10, No. 6 (2002) 10, No. 5 (2002) 10, No. 4 (2002) 10, No. 3 (2002) 10, No. 1-2 (2002) 9, No. 6 (2001) 9, No. 4-5 (2001) 9, No. 3 (2001) 9, No. 2 (2001) 9, No. 1 (2001) 8, No. 6 (2000) all top 5 Authors 41 Kuznetsov, Aleksandr Petrovich 35 Khramov, Alexander E. 34 Koronovskii, Alexey A. 26 Kuznetsov, Sergey P. 17 Turukina, Ludmila V. 15 Anishchenko, Vadim Semenovich 15 Shabunin, A. V. 15 Trubetskov, Dmitriĭ Ivanovich 14 Astakhov, Vladimir V. 13 Pavlov, Alexey N. 12 Matrosov, Valery V. 11 Sataev, Igor’ Rustamovich 10 Bezruchko, Boris Petrovich 9 Anikin, Valeriĭ Mikhaĭlovich 9 Landa, Polina Solomonovna 9 Ponomarenko, Valeriĭ Pavlovich 9 Ponomarenko, Vladimir Ivanovich 9 Ryashko, Lev Borisovich 9 Sosnovtseva, Olga V. 8 Filimonov, Yu. A. 8 Moskalenko, Olga I. 8 Nekorkin, Vladimir I. 8 Prokhorov, Mikhail Dmitrievich 8 Smirnov, Dmitry A. 8 Zharkov, Yu. D. 7 Dmitriev, B. S. 7 Osipov, Grigory V. 7 Podlazov, A. V. 7 Ryskin, Nikita Mikhaĭlovich 7 Shalfeev, Vladimir D. 6 Dudko, G. M. 6 Frisman, Efim Yakovlevich 6 Ivanchenko, Mikhail V. 6 Kazantsev, Victor B. 6 Levin, Yurij I. 6 Malinetskiĭ, Georgiĭ Gennad’evich 6 Pavlova, Olga N. 6 Postnov, Dmitry E. 6 Seleznev, Eugene P. 5 Bashkirtseva, Irina Adol’fovna 5 Dikanev, T. V. 5 Egorov, E. N. 5 Filatova, Anastasiya E. 5 Mukhin, Ravil’ Rafkatovich 5 Paksyutov, Vladimir Igor’evich 5 Sharaevskij, Yu. P. 5 Stankevich, Nataliya Vladimirovna 4 Akopov, A. A. 4 Arzhanukhina, D. S. 4 Chechin, George M. 4 Chetverikov, Aleksandr Petrovich 4 Emelianova, Yulia P. 4 Galishnikov, A. A. 4 Melnikov, Leonid A. 4 Neĭmark, Yuriĭ Isaakovich 4 Nikolaev, S. M. 4 Sitnikova, E. Yu. 4 Skorokhodov, V. N. 4 Sysoev, Il’ya Vyacheslavovich 4 Usanov, Dmitriĭ A. 4 Yanovskiĭ, Vladimir Vladimirovich 3 Astakhov, Sergey V. 3 Balanov, Alexander G. 3 Balyakin, A. A. 3 Belykh, Vladimir Nikitich 3 Chernyshov, Nikolai Yu. 3 Frolova, N. B. 3 Grishin, S. V. 3 Isaeva, Ol’ga Borisovna 3 Kanakov, Oleg I. 3 Karavaev, Anatoliĭ Sergeevich 3 Karp, Viktoriya Pavlovna 3 Kashchenko, Sergeĭ Aleksandrovich 3 Kornienko, V. N. 3 Kozhevnikov, A. V. 3 Kuptsov, Pavel Vladimirovich 3 Kurushina, Svetlana Evgen’evna 3 Lyachin, A. V. 3 Makarenko, Nikolaĭ Grigor’evich 3 Malyaev, V. S. 3 Milovanov, S. V. 3 Nikitov, S. A. 3 Novozhilova, Yu. V. 3 Ovchinnikov, An. A. 3 Poizner, B. N. 3 Remizov, Aleksandr Sergeevich 3 Sadovnikov, S. A. 3 Sanin, Andrey L. 3 Sedova, Yuliya Viktorovna 3 Slepnev, Andrei V. 3 Smirnovsky, Alexander A. 3 Solntsev, Viktor Anatol’evich 3 Strelkova, Galina Ivanova 3 Sytova, S. N. 3 Zhalnin, Alekseĭ Yur’evich 2 Afenchenko, V. O. 2 Aidarova, Yu. S. 2 Alekseev, Kirill Nikloaevich 2 Anisimov, A. A. 2 Arkadakskiĭ, Sergeĭ Sergeevich ...and 614 more Authors all top 5 Fields 212 Dynamical systems and ergodic theory (37-XX) 131 Ordinary differential equations (34-XX) 104 Optics, electromagnetic theory (78-XX) 84 Biology and other natural sciences (92-XX) 59 Mechanics of particles and systems (70-XX) 54 Statistical mechanics, structure of matter (82-XX) 36 Fluid mechanics (76-XX) 31 Systems theory; control (93-XX) 28 Partial differential equations (35-XX) 24 Probability theory and stochastic processes (60-XX) 24 Quantum theory (81-XX) 24 Information and communication theory, circuits (94-XX) 19 Numerical analysis (65-XX) 19 Computer science (68-XX) 16 History and biography (01-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Statistics (62-XX) 13 Mechanics of deformable solids (74-XX) 12 Geophysics (86-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Mathematics education (97-XX) 7 General and overarching topics; collections (00-XX) 7 Measure and integration (28-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Difference and functional equations (39-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 119 times in 84 Documents Cited by ▼ Year ▼ Chaos in the phase dynamics of Q-switched van der Pol oscillator with additional delayed feedback loop. Zbl 1224.34248Baranov, S. V.; Kuznetsov, S. P.; Ponomarenko, V. I. 7 2010 On the calculation of a set of Lyapunov exponents in distributed auto-oscillating systems with delayed feedback. Zbl 1201.37040Balyakin, A. A.; Ryskin, N. M. 5 2007 Computation of Lyapunov exponents for spatially extended systems: advantages and limitations of various numerical methods. Zbl 1249.35316Kuptsov, P. V. 5 2010 Nonlinearity: from oscillations to chaos. Zbl 1199.37003Kuznetsov, A. P.; Kuznetsov, S. P.; Ryskin, N. M.; Isaeva, O. B. 4 2008 Map-based model of neural activity. Zbl 1201.37050Nekorkin, V. I.; Vdovin, L. V. 4 2007 Quasi-potential method applied to studies of local stability of limiting cycles under random forces. Zbl 1057.34044Bashkirtseva, I. A.; Ryashko, L. B. 4 2001 About dynamics of two van der Pol-Duffing oscillators with dissipative coupling. Zbl 1397.37034Kuznetsov, A. P.; Paksyutov, Vladimir Igor’evich 3 2003 Verification of hyperbolicity conditions for a chaotic attractor in a system of coupled nonautonomous van der Pol oscillators. Zbl 1119.37309Kuznetsov, S. P.; Sataev, I. R. 3 2006 Excitation of chaotic and stochastic oscillations in different systems. Zbl 1224.70026Landa, P. S. 3 2010 Analytical description of recurrence plots of white noise and chaotic processes. Zbl 1116.37321Theil, M.; Romano, M. C.; Kurths, J. 3 2003 Robust chaos in autonomous time-delay system. Zbl 1313.37022Arzhanukhina, D. S.; Kuznetsov, S. P. 3 2014 Influence of the choice of the model structure for working capacity of nonlinear Granger causality approach. Zbl 1299.62082Kornilov, M. V.; Sysoev, I. V. 2 2013 Quasi-potential method of the stochastic sensitivity analysis for a 2D torus. Zbl 1224.34181Ryashko, L. B. 2 2006 Selecting time scales for empirical model construction. Zbl 1274.62621Sysoeva, M. V.; Dikanev, Ó. V.; Sysoev, I. V. 2 2012 Bifurcations of three-and four-dimensional maps: universal properties. Zbl 1274.34117Kuznetsov, A. P.; Sedova, J. V. 2 2012 Automodel periodic solutions and bifurcations from them in the problem of interaction of two coupled oscillators. Zbl 1119.70317Kulikov, L. A. 2 2006 Calculation of the Lyapunov exponents for distributed system with delayed feedback. Zbl 1187.78046Balyakin, A. A.; Blokhina, E. V. 2 2008 Experimental study of synchronization of two-frequency quasiperiodic motions. Zbl 1201.34125Anishchenko, V. S.; Nikolaev, S. M. 2 2007 Lorenz attractor in flows of simple shift. Zbl 1201.37049Mukhamedov, A. M. 2 2007 Attractors of Smale-Williams type in periodically kicked model systems. Zbl 1249.37017Kuznetsov, S. P.; Tyuryukina, L. V. 2 2010 Characteristics of gap discrete breathers in crystals with NaCl structure. Zbl 1249.82026Khadeeva, L. Z.; Dmitriev, S. V. 2 2010 Reconstruction of an evolution operator as a technique of analysis of epileptiform electric brain activity. Zbl 1245.92047Yakhno, Yu. V.; Molkov, Ya. I.; Mukhin, D. N.; Loskutov, E. M.; Feĭgin, A. M. 2 2011 Synchronization in systems with a bimodal dynamics. Zbl 1119.34322Kuznetsov, A. P.; Mosekilde, E.; Tyuryukina, L. V. 2 2006 Reconstruction of equations with harmonic driving on the ground of the time series method. Zbl 1052.34502Bezruchko, B. P.; Smirnov, D. A. 2 2001 Conjugate resonances in nonlinear systems under biharmonic impact. Vibro-induced bifurcations. Zbl 1084.70513Blekhman, I. I.; Landa, P. S. 2 2002 Special approaches to global reconstruction of equations on the ground of time series. Zbl 1049.37501Bezruchko, B. P.; Seleznev, E. P.; Ponomarenko, V. I.; Prokhorov, M. D.; Smirnov, D. A.; Dikanev, T. V.; Sysoev, I. V.; Karavaev, A. S. 2 2002 Local dynamics of difference and difference-differential equations. Zbl 1313.34227Kaschenko, I. S.; Kaschenko, S. A. 2 2014 Hyperbolic strange attractors of physically realizable systems. Zbl 1397.37036Kuznetsov, Sergeĭ Petrovich 1 2009 Entropy and forecasting of time series in the theory of dynamical systems. Zbl 1397.37089Loskutov, Aleksandr Yur’evich; Kozlov, Aleksandr Aleksandrovich; Khakhanov, Yuriĭ Mikhaĭlovich 1 2009 Coupled van der Pol and van der Pol-Duffing oscillators: dynamics of phase and computer simulation. Zbl 1397.34088Kuznetsov, Aleksandr Petrovich; Stankevich, Nataliya Vladimirovna; Tyuryukina, Lyudmila Vladimirovna 1 2008 Solitary waves of two-dimensional modiied Kawahara equation. Zbl 1397.76021Katson, Vladimir Markovich 1 2008 Analysis of attractors for stochastically forced “preditor-prey” model. Zbl 1397.37096Bashkirtseva, Irina Adol’fovna; Karpeenko, Larisa Vladimirovna; Ryashko, Lev Borisovich 1 2009 Impact of pulsed driving on the dynamics of a small ensemble of the Hindmarsh - Rose neurons. Zbl 1090.92012Zakharov, D. G. 1 2005 Special features of the parameter space construction of two nonidentical coupled Van der Pol-Duffing oscillators. Zbl 1089.34516Kuznetsov, A. P.; Paksyutov, V. I. 1 2005 Travelling waves in a discrete anharmonic self-oscillating medium. Zbl 1088.70011Shabunin, A. V.; Akopov, A. A.; Astakhov, V. V.; Vadivasova, T. E. 1 2005 An approximate description of the Mandelbrot set. Thermodynamic analogy. Zbl 1224.82006Isaeva, O. B.; Kuznetsov, S. P. 1 2006 Influence of noise on chaotic self-sustained oscillations in the regime of spiral attractor. Zbl 1119.37310Zakharova, A. S.; Vadivasova, T. V.; Anishchenko, T. S. 1 2006 Dynamic chaos in phase systems. Zbl 1181.37034Matrosov, V. V.; Shalfeev, V. D. 1 2008 Properties of synchronization in a system of non-identical coupled van der Pol and van der Pol–Duffing oscillators. Zbl 1201.34057Kuznetsov, A. P.; Paksyutov, V. I.; Roman, Yu. P. 1 2007 Detection of dynamics of unstable periodical spatio-temporal states of spatially extended chaotic system. Zbl 1201.34127Koronovskii, A. A.; Khramov, A. E. 1 2007 Diagnostics of phase synchronization by means of coherence. Zbl 1201.37052Shabunin, A. V.; Astakhov, V. V. 1 2007 Phase dynamics of periodically driven quasiperiodic self-vibrating oscillators. Zbl 1249.34117Kuznetsov, A. P.; Sataev, I. R.; Tyuryukina, L. V. 1 2010 Origin of intermittency in singular Hamiltonian systems. Zbl 1249.37020Slipushenko, S. V.; Tur, A. V.; Yanovskij, V. V. 1 2010 Hyperchaos in a system with delayed feedback loop based on Q-switched van der Pol oscillator. Zbl 1249.34237Baranov, S. V.; Kuznetsov, S. P. 1 2010 On two-dimensional linear theory of the interaction between an electron beam and a traveling electromagnetic wave, allowing for the influence of a space charge in a thin beam model. Zbl 1249.78009Krasnova, G. M. 1 2010 Stochastic sensitivity of limit cycles for a predator - two preys model. Zbl 1245.92058Bashkirtseva, I. A.; Karpenko, L. V.; Ryashko, L. B. 1 2010 Reflex klystron as an example of a self-oscillating delayed feedback system. Zbl 1249.78012Titov, V. N.; Volkov, D. V.; Yakovlev, A. V.; Ryskin, N. M. 1 2010 Mode localization in Fermi-Pasta-Ulam chains with arbitrary degree of nonlinearity. Zbl 1249.82004Ivanchenko, M. V. 1 2011 Blow-up with complex exponents. Log-periodic oscillations in the democratic fiber bundle model. Zbl 1249.70047Podlazov, A. V. 1 2011 Analytical consideration of the cosmic factor effects upon the fluctuations of Brown particle velocities. Zbl 1249.60078Landa, P. S.; Vlasov, V. A. 1 2011 Bifurcations in the problem of thermal convection of a visco-elastic fluid in a closed cavity with free boundaries heated from below. Zbl 1249.76042Lyubimov, D. V.; Kovalevskaya, K. V.; Lyubimova, T. P. 1 2011 Modeling of cardiac activity on the basis of maps: dynamics of single element. Zbl 1243.92011Pavlov, E. A.; Osipov, G. V. 1 2011 On quasi-synchronous regimes in a phase lock loop with a second-order filter and approximate inclusion of the delay. Zbl 1249.34142Bakunov, G. M.; Matrosov, V. V.; Shalfeev, V. D. 1 2011 Reconstruction of neutral time-delay systems. Zbl 1249.37050Karavaev, A. S.; Ponomarenko, V. I.; Prokhorov, M. D. 1 2011 Electronic circuits manifesting hyperbolic chaos and simulation of their dynamics using the software package Multisim. Zbl 1249.37059Kuznetsov, S. P. 1 2011 New approach to numerical research of the concrete dynamic systems by methods of pattern recognition and statistical modeling. Zbl 1224.34009Nejmark, Yu. L.; Kotel’nikov, I. V.; Teklina, L. G. 1 2010 Revealing nonlinear couplings between stochastic oscillators from time series. Zbl 1224.34017Smirnov, D. A. 1 2010 Dynamic modes of two-age population models. Zbl 1223.92045Frisman, E. Ya.; Neverova, G. P.; Revutskaya, O. L.; Kulakov, M. P. 1 2010 Nonlinear electromagnetic wave passing through the layer with quadratic and fractionally-polynomial permittivity dependences on amplitude. Zbl 1224.78020Davidovich, M. V.; Stephyuk, J. V. 1 2010 An analytical solution to the spectral problem for the Perron-Frobenius operator of piecewise linear chaotic maps. Zbl 1119.37307Anikin, V. M.; Arkadakskij, S. S.; Remizov, A. S. 1 2006 Steep unidirectional waves: experiments and modeling. Zbl 1164.35460Gulitskij, K.; Shemer, L.; Kit, Eh. 1 2004 Global reconstruction of dynamical system equations based on time series of transient processes. Zbl 1048.37515Bezruchko, B. P.; Dikanev, T. V.; Smirnov, D. A. 1 2001 Lyapunov functions technique for stability analysis and stabilization of a two-dimensional invariant torus. Zbl 1057.34048Ryashko, L. B. 1 2001 On possibility of realization of phenomena of complex analytical dynamics for physical systems, which consist of coupled elements with doubling of periods. Zbl 1048.37510Isaeva, O. B. 1 2001 Relaxation of probability characteristics of a predator – prey system in an environment with Markov fluctuations of parameters. Zbl 1045.92047Muzychuk, O. V. 1 2002 Multi-parameter picture of transition to chaos. Zbl 1049.37509Kuznetsov, A. P.; Tyuryukina, L. V.; Savin, A. V.; Sataev, I. R.; Sedova, Yu. V.; Milovanov, S. V. 1 2002 Statistical properties of deterministic and noisy chaotic systems. Zbl 1048.37501Anishchenko, V. S.; Vadivasova, T. E.; Strelkova, G. I.; Okrokvertskhov, G. A. 1 2003 Small-world networks: dynamical models and synchronization. Zbl 1057.34028Belykh, V. N.; Belykh, I. V.; Hasler, M. J. 1 2003 Optimization of basis function set for model map reconstruction of short electroencephalogram tracings during epileptic seizure. Zbl 1313.92029Severyuhina, A. N. 1 2013 Synchronization and multi-frequency quasi-periodicity in the dynamics of coupled oscillators. Zbl 1313.34147Kuznetsov, A. P.; Tyuryukina, L. V.; Sataev, I. R.; Chernyshov, N. Yu. 1 2014 Robust chaos in autonomous time-delay system. Zbl 1313.37022Arzhanukhina, D. S.; Kuznetsov, S. P. 3 2014 Local dynamics of difference and difference-differential equations. Zbl 1313.34227Kaschenko, I. S.; Kaschenko, S. A. 2 2014 Synchronization and multi-frequency quasi-periodicity in the dynamics of coupled oscillators. Zbl 1313.34147Kuznetsov, A. P.; Tyuryukina, L. V.; Sataev, I. R.; Chernyshov, N. Yu. 1 2014 Influence of the choice of the model structure for working capacity of nonlinear Granger causality approach. Zbl 1299.62082Kornilov, M. V.; Sysoev, I. V. 2 2013 Optimization of basis function set for model map reconstruction of short electroencephalogram tracings during epileptic seizure. Zbl 1313.92029Severyuhina, A. N. 1 2013 Selecting time scales for empirical model construction. Zbl 1274.62621Sysoeva, M. V.; Dikanev, Ó. V.; Sysoev, I. V. 2 2012 Bifurcations of three-and four-dimensional maps: universal properties. Zbl 1274.34117Kuznetsov, A. P.; Sedova, J. V. 2 2012 Reconstruction of an evolution operator as a technique of analysis of epileptiform electric brain activity. Zbl 1245.92047Yakhno, Yu. V.; Molkov, Ya. I.; Mukhin, D. N.; Loskutov, E. M.; Feĭgin, A. M. 2 2011 Mode localization in Fermi-Pasta-Ulam chains with arbitrary degree of nonlinearity. Zbl 1249.82004Ivanchenko, M. V. 1 2011 Blow-up with complex exponents. Log-periodic oscillations in the democratic fiber bundle model. Zbl 1249.70047Podlazov, A. V. 1 2011 Analytical consideration of the cosmic factor effects upon the fluctuations of Brown particle velocities. Zbl 1249.60078Landa, P. S.; Vlasov, V. A. 1 2011 Bifurcations in the problem of thermal convection of a visco-elastic fluid in a closed cavity with free boundaries heated from below. Zbl 1249.76042Lyubimov, D. V.; Kovalevskaya, K. V.; Lyubimova, T. P. 1 2011 Modeling of cardiac activity on the basis of maps: dynamics of single element. Zbl 1243.92011Pavlov, E. A.; Osipov, G. V. 1 2011 On quasi-synchronous regimes in a phase lock loop with a second-order filter and approximate inclusion of the delay. Zbl 1249.34142Bakunov, G. M.; Matrosov, V. V.; Shalfeev, V. D. 1 2011 Reconstruction of neutral time-delay systems. Zbl 1249.37050Karavaev, A. S.; Ponomarenko, V. I.; Prokhorov, M. D. 1 2011 Electronic circuits manifesting hyperbolic chaos and simulation of their dynamics using the software package Multisim. Zbl 1249.37059Kuznetsov, S. P. 1 2011 Chaos in the phase dynamics of Q-switched van der Pol oscillator with additional delayed feedback loop. Zbl 1224.34248Baranov, S. V.; Kuznetsov, S. P.; Ponomarenko, V. I. 7 2010 Computation of Lyapunov exponents for spatially extended systems: advantages and limitations of various numerical methods. Zbl 1249.35316Kuptsov, P. V. 5 2010 Excitation of chaotic and stochastic oscillations in different systems. Zbl 1224.70026Landa, P. S. 3 2010 Attractors of Smale-Williams type in periodically kicked model systems. Zbl 1249.37017Kuznetsov, S. P.; Tyuryukina, L. V. 2 2010 Characteristics of gap discrete breathers in crystals with NaCl structure. Zbl 1249.82026Khadeeva, L. Z.; Dmitriev, S. V. 2 2010 Phase dynamics of periodically driven quasiperiodic self-vibrating oscillators. Zbl 1249.34117Kuznetsov, A. P.; Sataev, I. R.; Tyuryukina, L. V. 1 2010 Origin of intermittency in singular Hamiltonian systems. Zbl 1249.37020Slipushenko, S. V.; Tur, A. V.; Yanovskij, V. V. 1 2010 Hyperchaos in a system with delayed feedback loop based on Q-switched van der Pol oscillator. Zbl 1249.34237Baranov, S. V.; Kuznetsov, S. P. 1 2010 On two-dimensional linear theory of the interaction between an electron beam and a traveling electromagnetic wave, allowing for the influence of a space charge in a thin beam model. Zbl 1249.78009Krasnova, G. M. 1 2010 Stochastic sensitivity of limit cycles for a predator - two preys model. Zbl 1245.92058Bashkirtseva, I. A.; Karpenko, L. V.; Ryashko, L. B. 1 2010 Reflex klystron as an example of a self-oscillating delayed feedback system. Zbl 1249.78012Titov, V. N.; Volkov, D. V.; Yakovlev, A. V.; Ryskin, N. M. 1 2010 New approach to numerical research of the concrete dynamic systems by methods of pattern recognition and statistical modeling. Zbl 1224.34009Nejmark, Yu. L.; Kotel’nikov, I. V.; Teklina, L. G. 1 2010 Revealing nonlinear couplings between stochastic oscillators from time series. Zbl 1224.34017Smirnov, D. A. 1 2010 Dynamic modes of two-age population models. Zbl 1223.92045Frisman, E. Ya.; Neverova, G. P.; Revutskaya, O. L.; Kulakov, M. P. 1 2010 Nonlinear electromagnetic wave passing through the layer with quadratic and fractionally-polynomial permittivity dependences on amplitude. Zbl 1224.78020Davidovich, M. V.; Stephyuk, J. V. 1 2010 Hyperbolic strange attractors of physically realizable systems. Zbl 1397.37036Kuznetsov, Sergeĭ Petrovich 1 2009 Entropy and forecasting of time series in the theory of dynamical systems. Zbl 1397.37089Loskutov, Aleksandr Yur’evich; Kozlov, Aleksandr Aleksandrovich; Khakhanov, Yuriĭ Mikhaĭlovich 1 2009 Analysis of attractors for stochastically forced “preditor-prey” model. Zbl 1397.37096Bashkirtseva, Irina Adol’fovna; Karpeenko, Larisa Vladimirovna; Ryashko, Lev Borisovich 1 2009 Nonlinearity: from oscillations to chaos. Zbl 1199.37003Kuznetsov, A. P.; Kuznetsov, S. P.; Ryskin, N. M.; Isaeva, O. B. 4 2008 Calculation of the Lyapunov exponents for distributed system with delayed feedback. Zbl 1187.78046Balyakin, A. A.; Blokhina, E. V. 2 2008 Coupled van der Pol and van der Pol-Duffing oscillators: dynamics of phase and computer simulation. Zbl 1397.34088Kuznetsov, Aleksandr Petrovich; Stankevich, Nataliya Vladimirovna; Tyuryukina, Lyudmila Vladimirovna 1 2008 Solitary waves of two-dimensional modiied Kawahara equation. Zbl 1397.76021Katson, Vladimir Markovich 1 2008 Dynamic chaos in phase systems. Zbl 1181.37034Matrosov, V. V.; Shalfeev, V. D. 1 2008 On the calculation of a set of Lyapunov exponents in distributed auto-oscillating systems with delayed feedback. Zbl 1201.37040Balyakin, A. A.; Ryskin, N. M. 5 2007 Map-based model of neural activity. Zbl 1201.37050Nekorkin, V. I.; Vdovin, L. V. 4 2007 Experimental study of synchronization of two-frequency quasiperiodic motions. Zbl 1201.34125Anishchenko, V. S.; Nikolaev, S. M. 2 2007 Lorenz attractor in flows of simple shift. Zbl 1201.37049Mukhamedov, A. M. 2 2007 Properties of synchronization in a system of non-identical coupled van der Pol and van der Pol–Duffing oscillators. Zbl 1201.34057Kuznetsov, A. P.; Paksyutov, V. I.; Roman, Yu. P. 1 2007 Detection of dynamics of unstable periodical spatio-temporal states of spatially extended chaotic system. Zbl 1201.34127Koronovskii, A. A.; Khramov, A. E. 1 2007 Diagnostics of phase synchronization by means of coherence. Zbl 1201.37052Shabunin, A. V.; Astakhov, V. V. 1 2007 Verification of hyperbolicity conditions for a chaotic attractor in a system of coupled nonautonomous van der Pol oscillators. Zbl 1119.37309Kuznetsov, S. P.; Sataev, I. R. 3 2006 Quasi-potential method of the stochastic sensitivity analysis for a 2D torus. Zbl 1224.34181Ryashko, L. B. 2 2006 Automodel periodic solutions and bifurcations from them in the problem of interaction of two coupled oscillators. Zbl 1119.70317Kulikov, L. A. 2 2006 Synchronization in systems with a bimodal dynamics. Zbl 1119.34322Kuznetsov, A. P.; Mosekilde, E.; Tyuryukina, L. V. 2 2006 An approximate description of the Mandelbrot set. Thermodynamic analogy. Zbl 1224.82006Isaeva, O. B.; Kuznetsov, S. P. 1 2006 Influence of noise on chaotic self-sustained oscillations in the regime of spiral attractor. Zbl 1119.37310Zakharova, A. S.; Vadivasova, T. V.; Anishchenko, T. S. 1 2006 An analytical solution to the spectral problem for the Perron-Frobenius operator of piecewise linear chaotic maps. Zbl 1119.37307Anikin, V. M.; Arkadakskij, S. S.; Remizov, A. S. 1 2006 Impact of pulsed driving on the dynamics of a small ensemble of the Hindmarsh - Rose neurons. Zbl 1090.92012Zakharov, D. G. 1 2005 Special features of the parameter space construction of two nonidentical coupled Van der Pol-Duffing oscillators. Zbl 1089.34516Kuznetsov, A. P.; Paksyutov, V. I. 1 2005 Travelling waves in a discrete anharmonic self-oscillating medium. Zbl 1088.70011Shabunin, A. V.; Akopov, A. A.; Astakhov, V. V.; Vadivasova, T. E. 1 2005 Steep unidirectional waves: experiments and modeling. Zbl 1164.35460Gulitskij, K.; Shemer, L.; Kit, Eh. 1 2004 About dynamics of two van der Pol-Duffing oscillators with dissipative coupling. Zbl 1397.37034Kuznetsov, A. P.; Paksyutov, Vladimir Igor’evich 3 2003 Analytical description of recurrence plots of white noise and chaotic processes. Zbl 1116.37321Theil, M.; Romano, M. C.; Kurths, J. 3 2003 Statistical properties of deterministic and noisy chaotic systems. Zbl 1048.37501Anishchenko, V. S.; Vadivasova, T. E.; Strelkova, G. I.; Okrokvertskhov, G. A. 1 2003 Small-world networks: dynamical models and synchronization. Zbl 1057.34028Belykh, V. N.; Belykh, I. V.; Hasler, M. J. 1 2003 Conjugate resonances in nonlinear systems under biharmonic impact. Vibro-induced bifurcations. Zbl 1084.70513Blekhman, I. I.; Landa, P. S. 2 2002 Special approaches to global reconstruction of equations on the ground of time series. Zbl 1049.37501Bezruchko, B. P.; Seleznev, E. P.; Ponomarenko, V. I.; Prokhorov, M. D.; Smirnov, D. A.; Dikanev, T. V.; Sysoev, I. V.; Karavaev, A. S. 2 2002 Relaxation of probability characteristics of a predator – prey system in an environment with Markov fluctuations of parameters. Zbl 1045.92047Muzychuk, O. V. 1 2002 Multi-parameter picture of transition to chaos. Zbl 1049.37509Kuznetsov, A. P.; Tyuryukina, L. V.; Savin, A. V.; Sataev, I. R.; Sedova, Yu. V.; Milovanov, S. V. 1 2002 Quasi-potential method applied to studies of local stability of limiting cycles under random forces. Zbl 1057.34044Bashkirtseva, I. A.; Ryashko, L. B. 4 2001 Reconstruction of equations with harmonic driving on the ground of the time series method. Zbl 1052.34502Bezruchko, B. P.; Smirnov, D. A. 2 2001 Global reconstruction of dynamical system equations based on time series of transient processes. Zbl 1048.37515Bezruchko, B. P.; Dikanev, T. V.; Smirnov, D. A. 1 2001 Lyapunov functions technique for stability analysis and stabilization of a two-dimensional invariant torus. Zbl 1057.34048Ryashko, L. B. 1 2001 On possibility of realization of phenomena of complex analytical dynamics for physical systems, which consist of coupled elements with doubling of periods. Zbl 1048.37510Isaeva, O. B. 1 2001 all cited Publications top 5 cited Publications all top 5 Cited by 146 Authors 8 Kuznetsov, Sergey P. 4 Bashkirtseva, Irina Adol’fovna 4 Sysoev, Il’ya Vyacheslavovich 3 Isaeva, Ol’ga Borisovna 3 Kruglov, Vyacheslav Pavlovich 3 Kulikov, Dmitriĭ Anatol’evich 3 Maslennikov, Oleg V. 3 Nekorkin, Vladimir I. 3 Ryashko, Lev Borisovich 3 Sataev, Igor’ Rustamovich 2 Abramova, Ekaterina Pavlovna 2 Anishchenko, Vadim Semenovich 2 Bezruchko, Boris Petrovich 2 Dmitriev, Sergey V. 2 Frisman, Efim Yakovlevich 2 Kashchenko, Sergeĭ Aleksandrovich 2 Kurths, Jürgen 2 Kuznetsov, Aleksandr Petrovich 2 Landa, Polina Solomonovna 2 McClintock, Peter Vaughan Elsmere 2 Morozov, Al’bert Dmitrievich 2 Morozov, Kirill Evgen’evich 2 Mukhamedov, Alfred M. 2 Perevalova, Tat’yana Vladimirovna 2 Sedova, Yuliya Viktorovna 2 Seleznev, Eugene P. 2 Stankevich, Nataliya Vladimirovna 1 Aguirre, Luis Antonio 1 Ahadpour, Sodeif 1 Akaev, A. A. 1 Baeva, O. V. 1 Balakin, Maksim Igor’evich 1 Balanov, Alexander G. 1 Bazhenov, V. A. 1 Behnia, Sohrab 1 Boaro, Alessio 1 Bosi, Stefano 1 Bozza, Valerio 1 Davidovich, Mikhaĭl Vladimirovich 1 Derevich, I. V. 1 Desmarchelier, David 1 Donner, Reik V. 1 Dubinko, Volodymyr I. 1 Endo, Tetsuro 1 Faizi, Esfandyar 1 Galyaev, Vladimir Sergeevich 1 Gani, Vakhid A. 1 García, José Jaime 1 Ghosh, Bapan 1 Ginzburg, Naum S. 1 Goryunov, Vladimir Evgen’evich 1 Goulitski, K. 1 Guseinova, Nahide I. 1 Inaba, Naohiko 1 Ionova, Irina Viktorovna 1 Jafarizadeh, Mohammad Ali 1 Kachurovskii, Aleksander G. 1 Kamiyama, Kyohei 1 Kaschenko, D. S. 1 Kharlamova, Anastasiya Olegovna 1 Khartovskiĭ, Vadim Evgen’evich 1 Khashimov, Abdukomil Risbekovich 1 Khramov, Alexander E. 1 Kit, Eliezer 1 Kolesov, Andreĭ Yur’evich 1 Kornilov, Maksim Vyacheslavovich 1 Koronovskii, Alexey A. 1 Korznikova, Elena A. 1 Kousaka, Takuji 1 Kraemer, K. Hauke 1 Krasnov, Andreĭ Evgen’evich 1 Krylosova, D. A. 1 Kudreyko, A. A. 1 Kulakov, Matveĭ Pavlovich 1 Kuptsov, Pavel Vladimirovich 1 Kuznetsov, Nikolay Vladimirovich 1 Lappa, Marcello 1 Leonov, Gennadiĭ Alekseevich 1 Letellier, Christophe 1 Liu, Zonghua 1 Lyul’ko, Natal’ya Al’bertovna 1 Mailybaev, Alexei Abaevich 1 Makarov, Vladimir V. 1 Maksimenko, Vladimir A. 1 Marwan, Norbert 1 Medvedeva, Tatiana M. 1 Morkina, Alina Y. 1 Nadezhdin, Evgeniĭ Nikolaevich 1 Naimark, Oleg B. 1 Neĭmark, Yuriĭ Isaakovich 1 Neverova, Galina Petrovna 1 Nikol’skiĭ, Dmitriĭ Nikolaevich 1 Osbaldestin, Andrew H. 1 Pavlovskaya, A. T. 1 Pivovarova, Anna Sergeevna 1 Podvigin, Ivan Viktorovich 1 Pogorelova, O. S. 1 Ponomarenko, Vladimir Ivanovich 1 Postnikova, T. G. 1 Postnov, Dmitry E. ...and 46 more Authors all top 5 Cited in 43 Journals 6 Physica D 6 Automation and Remote Control 6 Chaos 4 Journal of Mathematical Sciences (New York) 3 Chaos, Solitons and Fractals 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Regular and Chaotic Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 3 Russian Journal of Nonlinear Dynamics 2 Journal of Applied Mathematics and Mechanics 2 Journal of Statistical Physics 2 Physics Letters. A 2 Mathematical Problems in Engineering 2 Doklady Mathematics 2 Nonlinear Dynamics 2 Russian Physics Journal 2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 2 Nelineĭnaya Dinamika 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Journal of Fluid Mechanics 1 Moscow University Mechanics Bulletin 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Bulletin of Mathematical Biology 1 Transactions of the Moscow Mathematical Society 1 Mathematical Social Sciences 1 Computational Mathematics and Mathematical Physics 1 Journal of Nonlinear Science 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 European Journal of Mechanics. B. Fluids 1 Journal of Nonlinear Mathematical Physics 1 Matematicheskoe Modelirovanie 1 Dynamical Systems 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Modelirovanie i Analiz Informatsionnykh Sistem 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applied Mathematics and Nonlinear Sciences 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal all top 5 Cited in 24 Fields 40 Dynamical systems and ergodic theory (37-XX) 29 Ordinary differential equations (34-XX) 11 Mechanics of particles and systems (70-XX) 10 Biology and other natural sciences (92-XX) 8 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 6 Systems theory; control (93-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Partial differential equations (35-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year