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D-Index & Metrics

Mathematics

D-Index
52
Citations
11908
World Ranking
953
National Ranking
6

Overview

Gennady A. Leonov was affiliated with St Petersburg University in the Russian Federation. Their research spanned several areas intersecting physics, mathematics, and computer science, with particular emphasis on nonlinear dynamics and chaos theory.

The primary fields in which Leonov contributed included Physics and Astronomy and Computer Science. Within these areas, their work extended to specific subfields such as Statistical and Nonlinear Physics, Information Systems, Computer Networks and Communications, and Mathematical Physics.

Leonov's research topics covered a range of complex phenomena and interdisciplinary subjects, including:

  • Chaos control and synchronization
  • Nonlinear dynamics and pattern formation
  • Quantum chaos and dynamical systems
  • Artificial intelligence in education
  • Educational innovations and challenges
  • Advanced mathematical theories and applications
  • Mathematical dynamics and fractals

The scholar published work in several notable venues. Frequent publication venues included:

  • International Journal of Bifurcation and Chaos
  • International Journal of Systems Applications Engineering & Development
  • Axioms

Key recent papers by Leonov consisted of:

  • "Homoclinic Bifurcations and Chaos in the Fishing Principle for the Lorenz-like Systems," 2020, International Journal of Bifurcation and Chaos
  • "Combining Academic Education With Soft Skills Development: Some Common Aspects of Educational Preparation of IT Professionals and Schoolteachers," 2021, International Journal of Systems Applications Engineering & Development
  • "Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research," 2022, Axioms

Their collaborations included work with several frequent co-authors such as Н. В. Кузнецов, Sergei Abramovich, R. N. Mokaev, T. N. Mokaev, and Sergey V. Kuznetsov.

Leonov's research contributed to both theoretical advancements and educational aspects in their fields, with publications touching on foundational mathematical theories and the integration of artificial intelligence and soft skills development in education.

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

  • Localization of hidden Chuaʼs attractors

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

  • 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

  • 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

  • TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS

    Gennady A. Leonov;Nikolay V. Kuznetsov

  • 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

  • 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

  • Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications

    Unknown

  • 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

  • Strange Attractors and Classical Stability Theory

    G. Leonov

  • 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

  • On differences and similarities in the analysis of Lorenz, Chen, and Lu systems

    G.A. Leonov;N.V. Kuznetsov

  • Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors

    G. A. Leonov;V. A. Boichenko

  • Frequency Methods in Oscillation Theory

    Unknown

  • Bounds for attractors and the existence of homoclinic orbits in the lorenz system

    G.A. Leonov

  • Hidden oscillations in dynamical systems

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

Frequent Co-Authors

Nikolay V. Kuznetsov
Nikolay V. Kuznetsov Saint Petersburg State University
Pekka Neittaanmäki
Pekka Neittaanmäki University of Jyväskylä
Henk Nijmeijer
Henk Nijmeijer Eindhoven University of Technology
Alexander L. Fradkov
Alexander L. Fradkov Saint Petersburg State University
Guanrong Chen
Guanrong Chen City University of Hong Kong
Sajad Jafari
Sajad Jafari Amirkabir University of Technology
Alexey S. Matveev
Alexey S. Matveev Saint Petersburg State University
Chunbiao Li
Chunbiao Li Nanjing University of Information Science and Technology
Leon O. Chua
Leon O. Chua University of California, Berkeley
Yakov G. Sinai
Yakov G. Sinai Princeton University

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