Research Output 1994 2020

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2019

Simple energy control in Frenkel–Kontorova model

Fradkov, A. L., Usik, E. V. & Andrievsky, B., 1 Jan 2019, Advanced Structured Materials. Springer, p. 209-222 14 p. (Advanced Structured Materials; vol. 103).

Research outputpeer-review

Power control
2017
3 Citations (Scopus)

Numerical visualization of attractors: Self-exciting and hidden attractors

Kuznetsov, N. & Leonov, G., 1 Jan 2017, Handbook of Applications of Chaos Theory. Taylor & Francis, p. 135-143 9 p.

Research outputpeer-review

Attractor
Visualization
Oscillation
Basin of Attraction
Long-time Behavior
2 Citations (Scopus)

Strange attractors and classical stability theory: Stability, instability, lyapunov exponents and chaos

Kuznetsov, N. & Leonov, G., 1 Jan 2017, Handbook of Applications of Chaos Theory. Taylor & Francis, p. 105-134 30 p.

Research outputpeer-review

Strange attractor
Stability Theory
Lyapunov Exponent
Difference equation
Euclidean space
1 Citation (Scopus)

Theory of differential inclusions and its application in mechanics

Kiseleva, M., Kuznetsov, N. & Leonov, G., 30 Sep 2017, New Perspectives and Applications of Modern Control Theory: In Honor of Alexander S. Poznyak. Springer, p. 219-239 21 p.

Research outputpeer-review

Differential Inclusions
Mechanics
Discontinuous Systems
Friction
Torque
2016

Hidden oscillations in electromechanical systems

Kiseleva, M., Kondratyeva, N., Kuznetsov, N. & Leonov, G., 2016, Dynamics and Control of Advanced Structures and Machines. Springer, p. 119-124

Research outputpeer-review

Numerical visualization of attractors: self-exciting and hidden attractors

Kuznetsov, N. V. & Leonov, G. A., 2016, in Handbook of Applications of Chaos Theory (Eds. Christos H. Skiadas, Charilaos Skiadas), Chapman and Hall/CRC, 2016. Chapman & Hall/CRC, p. 135-143

Research outputpeer-review

Strange attractors and classical stability theory: stability, instability, Lyapunov exponents and chaos

Kuznetsov, N. V. & Leonov, G. A., 2016, in Handbook of Applications of Chaos Theory (Eds. Christos H. Skiadas, Charilaos Skiadas), Chapman and Hall/CRC, 2016. Chapman & Hall/CRC, p. 105-134

Research outputpeer-review

2014

Drilling Systems: Stability and Hidden Oscillations

Kiseleva, M. A., Leonov, G. A., Kuznetsov, N. V. & Neittaanmäki, P., 2014, Discontinuity and Complexity in Nonlinear Physical Systems: Nonlinear Systems and Complexity. Springer, Vol. NSCH, volume 6. p. 287-304

Research output

System stability
Drilling
Mathematical models
Dynamical systems
Trajectories

Drilling Systems Failures and Hidden Oscillations

Kiseleva, M. A., Kuznetsov, N. V., Leonov, G. A. & Neittaanmäki, P., 2014, Discontinuity and Complexity in Nonlinear Physical Systems. Springer, p. 433, 287-304

Research output

Lyapunov exponent sign reversal: stability and instability by the first approximation

Leonov, G. A. & Kuznetsov, N. V., 2014, Nonlinear Systems and Complexity. Springer, p. 292 стр., 41-77

Research output

3 Citations (Scopus)

Nonlinear Analysis of Phase-Locked Loop (PLL): Global Stability Analysis, Hidden Oscillations and Simulation Problems. Ch.22

Leonov, G. A. & Kuznetsov, N. V., 2014, Mechanics and Model-Based Control of Advanced Engineering Systems. Springer, p. 316 стр., 199-207

Research output

Nonlinear Analysis of Phase-locked Loop-Based Circuits

Best, R. E., Kuznetsov, N. V., Leonov, G. A., Yuldashev, M. V. & Yuldashev, R. V., 2014, Discontinuity and Complexity in Nonlinear Physical Systems. Springer, p. 433 стр., 169-192

Research output

2013

Analytical-Numerical Localization of Hidden Attractor in Electrical Chua’s Circuit

Kuznetsov, N., Kuznetsova, O., Leonov, G. & Vagaitsev, V., 2013, Informatics in Control, Automation and Robotics. 8th International Conference, ICINCO 2011 Noordwijkerhout, The Netherlands, July 28-31, 2011 Revised Selected Papers. Springer, p. 228 стр., 149­-158

Research output

19 Citations (Scopus)

Prediction of Hidden Oscillations Existence in Nonlinear Dynamical Systems: Analytics and Simulation

Leonov, G. A. & Kuznetsov, N. V., 2013, Advances in Intelligent Systems and Computing. Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems. Springer, p. 540 стр., 5-13

Research output

2012

Electromechanical and mathematical models of salient-pole synchronous motors

Leonov, G. A. & Kondrat'eva, N. V., 2012, Advanced Dynamics and Model-Based Control of Structures and Machines. Springer, p. 241 стр., 143-150

Research output

2011
1 Citation (Scopus)

Nonlinear dynamic processes in media with internal structure

Porubov, A. V., Andrievsky, B. R. & Aero, E. L., 1 Dec 2011, Mechanics of Generalized Continua. Altenbach, H. (ed.). p. 245-254 10 p. (Advanced Structured Materials; vol. 7).

Research outputpeer-review

Macros
Defects
2010

Hausdorff dimension estimates by use of a tubular Caratheodory structure and their application to stability theory.

Leonov, G. A., Gelfert, K. & Reitmann, V., 2010, Advances In Chaotic Dynamics and Applications. Cambridge Scientific Publishers, p. 280 стр., 21-45

Research output

15 Citations (Scopus)

Lyapunov Quantities and Limit Cycles of Two-dimensional Dynamical Systems

Kuznetsov, N. V. & Leonov, G. A., 2010, Dynamics and Control of Hybrid Mechanical Systems. WORLD SCIENTIFIC PUBL CO PTE LTD, p. 264, 7-28

Research output

dynamical systems
cycles

Динамические принципы прогнозирования и управления

Леонов, Г. А., Кузнецов, Н. В. & Селеджи, С. М., 2010, Л.В.Канторович: математика, информатика, менеджмент. Издательство Санкт-Петербургского университета, p. 575 стр., 103-115

Research output

2009

Nonlinear Analysis and Design of Phase-Locked Loops

Leonov, G. A., Kuznetsov, N. V. & Seledzhi, S. M., 2009, Automation & control – Theory and Practice. InTech, p. 350 стр., 89-113

Research output

2008