H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 57 Citations 12,150 227 World Ranking 313 National Ranking 3

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Electrical engineering
  • Control theory

Nikolay Kuznetsov spends much of his time researching Attractor, Mathematical analysis, Lyapunov exponent, Hidden oscillation and Applied mathematics. He combines subjects such as Dynamical systems theory, Chaotic, Multistability, Statistical physics and Numerical analysis with his study of Attractor. His Statistical physics research integrates issues from Linear system and Nonlinear system.

His Mathematical analysis study which covers Homoclinic orbit that intersects with Invariant, Convection, Completeness and Differential equation. His Hidden oscillation research is multidisciplinary, relying on both Manifold, Harmonic balance and Trajectory. His Applied mathematics research is multidisciplinary, incorporating elements of Development and Equivalence.

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)
  • 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)

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

Nikolay Kuznetsov mostly deals with Attractor, Control theory, Mathematical analysis, Nonlinear system and Phase-locked loop. Nikolay Kuznetsov interconnects Chaotic, Lyapunov exponent, Multistability, Statistical physics and Applied mathematics in the investigation of issues within Attractor. His study on Applied mathematics also encompasses disciplines like

  • Dynamical systems theory which is related to area like Trajectory,
  • Kalman filter together with Counterexample.

His Control theory study integrates concerns from other disciplines, such as Control engineering, Costas loop, Loop and Computation. His research in Mathematical analysis focuses on subjects like Lyapunov function, which are connected to Dimension. His studies deal with areas such as Range, Electronic circuit, Electronic engineering and Phase detector as well as Phase-locked loop.

He most often published in these fields:

  • Attractor (47.25%)
  • Control theory (42.88%)
  • Mathematical analysis (25.43%)

What were the highlights of his more recent work (between 2018-2021)?

  • Attractor (47.25%)
  • Control theory (42.88%)
  • Applied mathematics (23.15%)

In recent papers he was focusing on the following fields of study:

Nikolay Kuznetsov mainly investigates Attractor, Control theory, Applied mathematics, Dynamical systems theory and Bifurcation. The concepts of his Attractor study are interwoven with issues in Chaotic, Lyapunov exponent, Statistical physics and Multistability. Nikolay Kuznetsov has included themes like Range, Phase-locked loop and Dynamics in his Control theory study.

The Applied mathematics study combines topics in areas such as Impulse, Logistic map, Numerical analysis and Lyapunov function. His Dynamical systems theory research includes themes of Plain text and Audio signal. His biological study spans a wide range of topics, including Initial value problem and Mathematical analysis.

Between 2018 and 2021, his most popular works were:

  • Multistability and Hidden Attractors in the Dynamics of Permanent Magnet Synchronous Motor (16 citations)
  • The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension (12 citations)
  • The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension (12 citations)

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

  • Mathematical analysis
  • Electrical engineering
  • Control theory

His primary scientific interests are in Attractor, Bifurcation, Applied mathematics, Statistical physics and Control theory. His Attractor research includes elements of Dynamical systems theory, Chaotic, Lyapunov exponent and Homoclinic orbit. His Bifurcation study combines topics from a wide range of disciplines, such as Initial value problem, Induction motor, Dynamics, Multistability and Hilbert transform.

His Applied mathematics research incorporates elements of Dimension, Lyapunov function, State variable, Bounded function and Computation. His Statistical physics research is multidisciplinary, relying on both Stability, Development and Counterexample. His work in the fields of Control theory, such as Adaptive control and Trajectory, intersects with other areas such as Angle of attack.

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

Hidden oscillations in dynamical systems

G. A. Leonov;N. V. Kuznetsov;O. A. Kuznetsova;S. M. Seledzhi.
WSEAS Transactions on Systems and Control archive (2011)

189 Citations

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