World's Best Scientists 2026 revealed!
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Mathematics
Russia
2022

D-Index & Metrics

Electronics and Electrical Engineering

D-Index
46
Citations
9630
World Ranking
3350
National Ranking
8

Research.com Recognitions

  • 2022 - Research.com Mathematics in Russia Leader Award

Overview

Nikolay V. Kuznetsov is affiliated with St Petersburg University in the Russian Federation. Their research focuses primarily on engineering and physics, with a significant contribution to the fields of statistical and nonlinear physics, electrical and electronic engineering, and control and systems engineering. Their work extends into computer networks and communications as well as mathematical physics.

The scientist's research addresses a range of topics including:

  • Chaos control and synchronization
  • Nonlinear dynamics and pattern formation
  • Quantum chaos and dynamical systems
  • Advancements in phase-locked loop (PLL) and voltage-controlled oscillator (VCO) technologies
  • Advanced differential equations and dynamical systems
  • Mathematical dynamics and fractals
  • Complex systems and time series analysis

Among the recent papers authored or coauthored by Kuznetsov are:

  • "Hidden attractors and multistability in a modified Chua's circuit" (2020), published in Communications in Nonlinear Science and Numerical Simulation
  • "The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension" (2020), published in Nonlinear Dynamics
  • "Theory of Hidden Oscillations and Stability of Control Systems" (2020), published in Journal of Computer and Systems Sciences International
  • "Hidden attractors in Chua circuit: mathematical theory meets physical experiments" (2022), published in Nonlinear Dynamics
  • "Generating grid chaotic sea from system without equilibrium point" (2021), published in Communications in Nonlinear Science and Numerical Simulation

Kuznetsov collaborates frequently with several coauthors including M. V. Yuldashev, R. V. Yuldashev, T. N. Mokaev, M.Y. Lobachev, and Boris Andrievsky.

Their publications have been featured notably in:

  • arXiv (Cornell University)
  • IFAC-PapersOnLine
  • Chaos Solitons & Fractals
  • Journal of the Neurological Sciences
  • Journal of Physics Conference Series

In addition to journal articles, Kuznetsov has contributed to book publications with Springer Nature, including:

  • "Chaotic Systems with Multistability and Hidden Attractors" (2021)
  • "Attractor Dimension Estimates for Dynamical Systems: Theory and Computation" (2020)

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

  • Hidden attractors in dynamical systems

    Dawid Dudkowski;Sajad Jafari;Tomasz Kapitaniak;Nikolay V. Kuznetsov;Nikolay V. Kuznetsov

  • Hidden attractor in smooth Chua systems

    G.A. Leonov;G.A. Leonov;N.V. Kuznetsov;N.V. Kuznetsov;V.I. Vagaitsev;V.I. Vagaitsev

  • 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

  • Matlab Code for Lyapunov Exponents of Fractional-Order Systems

    Marius-F. Danca;Nikolay V. Kuznetsov;Nikolay V. Kuznetsov

  • 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

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

    Nikolay V. Kuznetsov;Gennady A. Leonov;Vladimir I. Vagaitsev

  • Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

    Gennady A. Leonov;Nikolay V. Kuznetsov;Nikolay V. Kuznetsov;Timur N. Mokaev;Timur N. Mokaev

  • Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory

    Gennady A. Leonov;Nikolay V. Kuznetsov;Marat V. Yuldashev;Renat V. Yuldashev

  • Control of multistability in hidden attractors

    P. R. Sharma;M. D. Shrimali;A. Prasad;N. V. Kuznetsov

  • Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system

    Nikolay Kuznetsov;Nikolay Kuznetsov;G. A. Leonov;T. N. Mokaev;A. Prasad

  • Hidden oscillations in dynamical systems

    G. A. Leonov;N. V. Kuznetsov;O. A. Kuznetsova;S. M. Seledzhi

  • Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE

    Nikolay V. Kuznetsov;Nikolay V. Kuznetsov;Nikolay V. Kuznetsov;Gennady A. Leonov;Marat V. Yuldashev;Renat V. Yuldashev

  • Hidden chaotic sets in a Hopfield neural system

    Marius-F. Danca;Nikolay Kuznetsov;Nikolay Kuznetsov

  • Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems

    G. A. Leonov;N. V. Kuznetsov;N. V. Kuznetsov

  • Hidden attractors in dynamical systems: systems with no equilibria, multistability and coexisting attractors

    N.V. Kuznetsov;N.V. Kuznetsov;G.A. Leonov;G.A. Leonov

  • A novel memristive time–delay chaotic system without equilibrium points

    Viet-Thanh Pham;Sundarapandian Vaidyanathan;Christos K. Volos;Sajad Jafari

  • Analytical Method for Computation of Phase-Detector Characteristic

    G. A. Leonov;N. V. Kuznetsov;M. V. Yuldashev;R. V. Yuldashev

  • Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems

    Gennady Leonov;Nikolay Kuznetsov

  • Scenario of the Birth of Hidden Attractors in the Chua Circuit

    Nataliya V. Stankevich;Nataliya V. Stankevich;Nataliya V. Stankevich;Nikolay V. Kuznetsov;Nikolay V. Kuznetsov;Gennady A. Leonov;Leon O. Chua

  • Hidden oscillations in dynamical systems

    G. A. Leonov;N. V. Kuznetsov;S. M. Seledzhi

Frequent Co-Authors

Guanrong Chen
Guanrong Chen City University of Hong Kong
Henk Nijmeijer
Henk Nijmeijer Eindhoven University of Technology
Alexander L. Fradkov
Alexander L. Fradkov Saint Petersburg State University
Leon O. Chua
Leon O. Chua University of California, Berkeley
Alexey S. Matveev
Alexey S. Matveev Saint Petersburg State University
Christos Volos
Christos Volos Aristotle University of Thessaloniki

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