His main research concerns Attractor, Mathematical analysis, Hidden oscillation, Applied mathematics and Lyapunov exponent. His work deals with themes such as Dynamical systems theory, Multistability, Nonlinear system, Statistical physics and Numerical analysis, which intersect with Attractor. The concepts of his Nonlinear system study are interwoven with issues in Automatic control and Scalar.
His Mathematical analysis research integrates issues from Lyapunov function and Homoclinic orbit. His Hidden oscillation research includes themes of Manifold, Harmonic balance, Trajectory and Chua's circuit. As a part of the same scientific study, Gennady A. Leonov usually deals with the Applied mathematics, concentrating on Control theory and frequently concerns with Phase synchronization and Control engineering.
His primary scientific interests are in Control theory, Mathematical analysis, Attractor, Phase-locked loop and Nonlinear system. His work on Control system as part of general Control theory study is frequently linked to Costas loop, therefore connecting diverse disciplines of science. The Mathematical analysis study combines topics in areas such as Quadratic equation and Lyapunov function.
His biological study spans a wide range of topics, including Dimension, Lyapunov exponent and Pure mathematics. His studies deal with areas such as Dynamical systems theory, Chaotic, Statistical physics and Applied mathematics as well as Attractor. Gennady A. Leonov has included themes like Electronic engineering, Phase detector and Computation in his Phase-locked loop study.
Gennady A. Leonov mainly focuses on Control theory, Attractor, Applied mathematics, Chaotic and Costas loop. His Control theory study combines topics in areas such as Phase-locked loop, Control engineering and Range. Gennady A. Leonov is studying Lorenz system, which is a component of Attractor.
His work carried out in the field of Applied mathematics brings together such families of science as Kalman filter, Instability, Lyapunov function, Interpretation and Differential inclusion. His Differential inclusion research entails a greater understanding of Mathematical analysis. His work on Nonlinear control as part of general Nonlinear system research is frequently linked to Mathematical model, bridging the gap between disciplines.
Gennady A. Leonov focuses on Attractor, Chaotic, Control theory, Applied mathematics and Statistical physics. The various areas that Gennady A. Leonov examines in his Attractor study include Dimension, Spice, Dynamical system, Parameter space and Multistability. His studies in Dynamical system integrate themes in fields like Complex system, Dynamical systems theory, Synchronization of chaos and Nonlinear system.
His study in the field of Lorenz system is also linked to topics like Path. His study in Control theory is interdisciplinary in nature, drawing from both Control engineering and Airfoil. His Applied mathematics research is multidisciplinary, relying on both Kalman filter, Partial differential equation, Lyapunov function, Ordinary differential equation and Differential inclusion.
This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.
Hidden Attractors in Dynamical Systems. From Hidden Oscillations in Hilbert-Kolmogorov Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits
Gennady A. Leonov;Nikolay V. Kuznetsov;Nikolay V. Kuznetsov.
International Journal of Bifurcation and Chaos (2013)
Localization of hidden Chuaʼs attractors
G.A. Leonov;N.V. Kuznetsov;N.V. Kuznetsov;V.I. Vagaitsev.
Physics Letters A (2011)
Hidden attractor in smooth Chua systems
G.A. Leonov;G.A. Leonov;N.V. Kuznetsov;N.V. Kuznetsov;V.I. Vagaitsev;V.I. Vagaitsev.
Physica D: Nonlinear Phenomena (2012)
Hidden attractors in dynamical systems
Dawid Dudkowski;Sajad Jafari;Tomasz Kapitaniak;Nikolay V. Kuznetsov;Nikolay V. Kuznetsov.
Physics Reports (2016)
Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion
G. A. Leonov;N. V. Kuznetsov;N. V. Kuznetsov;T. N. Mokaev;T. N. Mokaev.
European Physical Journal-special Topics (2015)
TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
Gennady A. Leonov;Nikolay V. Kuznetsov.
International Journal of Bifurcation and Chaos (2007)
Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor
G. A. Leonov;N. V. Kuznetsov;M. A. Kiseleva;E. P. Solovyeva.
Nonlinear Dynamics (2014)
Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits
V. O. Bragin;V. I. Vagaitsev;N. V. Kuznetsov;G. A. Leonov.
Journal of Computer and Systems Sciences International (2011)
Analytical-numerical method for attractor localization of generalized Chua's system*
Nikolay V. Kuznetsov;Gennady A. Leonov;Vladimir I. Vagaitsev.
IFAC Proceedings Volumes (2010)
Strange Attractors and Classical Stability Theory
Nonlinear dynamics and systems theory (2008)
If you think any of the details on this page are incorrect, let us know.
We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below: