D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 39 Citations 8,276 185 World Ranking 1059 National Ranking 13

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Control theory
  • Electrical engineering

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 most cited work include:

  • Hidden Attractors in Dynamical Systems. From Hidden Oscillations in Hilbert-Kolmogorov Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits (579 citations)
  • Localization of hidden Chuaʼs attractors (521 citations)
  • Hidden attractor in smooth Chua systems (412 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Control theory (40.47%)
  • Mathematical analysis (32.90%)
  • Attractor (26.11%)

What were the highlights of his more recent work (between 2016-2020)?

  • Control theory (40.47%)
  • Attractor (26.11%)
  • Applied mathematics (16.45%)

In recent papers he was focusing on the following fields of 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.

Between 2016 and 2020, his most popular works were:

  • Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE (102 citations)
  • Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system (81 citations)
  • Hidden Attractors on One Path: Glukhovsky–Dolzhansky, Lorenz, and Rabinovich Systems (42 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Control theory
  • Electrical engineering

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.

Best Publications

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)

741 Citations

Localization of hidden Chuaʼs attractors

G.A. Leonov;N.V. Kuznetsov;N.V. Kuznetsov;V.I. Vagaitsev.
Physics Letters A (2011)

660 Citations

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)

495 Citations

Hidden attractors in dynamical systems

Dawid Dudkowski;Sajad Jafari;Tomasz Kapitaniak;Nikolay V. Kuznetsov;Nikolay V. Kuznetsov.
Physics Reports (2016)

464 Citations

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)

335 Citations

TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS

Gennady A. Leonov;Nikolay V. Kuznetsov.
International Journal of Bifurcation and Chaos (2007)

273 Citations

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)

249 Citations

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)

246 Citations

Analytical-numerical method for attractor localization of generalized Chua's system*

Nikolay V. Kuznetsov;Gennady A. Leonov;Vladimir I. Vagaitsev.
IFAC Proceedings Volumes (2010)

195 Citations

Strange Attractors and Classical Stability Theory

G. Leonov.
Nonlinear dynamics and systems theory (2008)

193 Citations

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