World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
6023
World Ranking
2075
National Ranking
136

Overview

Dmitry Turaev is affiliated with Imperial College London in the United Kingdom. Their research predominantly spans the fields of Physics and Astronomy, Mathematics, and Computer Science. Within these broad disciplines, Turaev focuses extensively on subfields such as Statistical and Nonlinear Physics, Computer Networks and Communications, Mathematical Physics, Geometry and Topology, and Artificial Intelligence.

The scientist's work engages deeply with several main topics, including Quantum chaos and dynamical systems, Nonlinear Dynamics and Pattern Formation, Mathematical Dynamics and Fractals, Chaos control and synchronization, Advanced Differential Equations and Dynamical Systems, Neural Networks Stability and Synchronization, and Nonlinear Waves and Solitons.

Recent papers authored or co-authored by Dmitry Turaev demonstrate attention to complex dynamical phenomena and their mathematical foundations. Selected recent publications include:

  • "Leonid Shilnikov and mathematical theory of dynamical chaos" (2022), published in Chaos An Interdisciplinary Journal of Nonlinear Science
  • "Doubling of invariant curves and chaos in three-dimensional diffeomorphisms" (2021), published in Chaos An Interdisciplinary Journal of Nonlinear Science
  • "Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors" (2020), published in Nonlinearity
  • "Arnold diffusion in multidimensional convex billiards" (2023), published in Duke Mathematical Journal
  • "Absolute stability and absolute hyperbolicity in systems with discrete time-delays" (2022), published in Journal of Differential Equations

The research collaboration network of Dmitry Turaev features frequent co-authors, indicating engagement in cooperative scientific work. These colleagues include:

  • Alexey Kazakov (10 joint publications)
  • Jeroen S. W. Lamb (8 joint publications)
  • С. В. Гонченко (6 joint publications)
  • Efrosiniia Karatetskaia (6 joint publications)
  • Klim Safonov (6 joint publications)

The publication venues where Dmitry Turaev's work has appeared frequently reflect the nature of their research involving dynamical systems and applied mathematics. Notable venues include:

  • arXiv (Cornell University) with 18 publications
  • Regular and Chaotic Dynamics with 5 publications
  • Chaos An Interdisciplinary Journal of Nonlinear Science with 3 publications
  • Journal of Differential Equations with 3 publications
  • Nonlinearity with 3 publications

Best Publications

  • Methods of qualitative theory in nonlinear dynamics

    Leonid P. Shilnikov;Andrey L. Shilnikov;Dmitry V. Turaev;Leon O. Chua

  • Model for passive mode locking in semiconductor lasers

    Andrei G. Vladimirov;Dmitry Turaev

  • Methods of Qualitative Theory in Nonlinear Dynamics (Part I)

    Leonid P Shilnikov;Andrey L Shilnikov;Dmitry V Turaev;Leon O Chua

  • Three-Dimensional HÉNON-LIKE Maps and Wild Lorenz-Like Attractors

    Sergey V. Gonchenko;I. I. Ovsyannikov;C. Simó;D. V. Turaev

  • Dynamical phenomena in systems with structurally unstable Poincare homoclinic orbits.

    S. V. Gonchenko;L. P. Shil’nikov;D. V. Turaev

  • NORMAL FORMS AND LORENZ ATTRACTORS

    A. L. Shil'nikov;L. P. Shil'nikov;D. V. Turaev

  • An example of a wild strange attractor

    D V Turaev;L P Shil'nikov

  • Delay differential equations for mode-locked semiconductor lasers

    Andrei G. Vladimirov;Dmitry Turaev;Gregory Kozyreff

  • On models with non-rough Poincare´ homoclinic curves

    S. V. Gonchenko;L. P. Shil'nikov;D. V. Turaev

  • Spontaneous Motion of Cavity Solitons Induced by a Delayed Feedback

    Mustapha Tlidi;Andrei Vladimirov;Didier Pieroux;Dmitry Turaev

  • Unbounded Energy Growth in Hamiltonian Systems with a Slowly Varying Parameter

    Vassili Gelfreich;Dmitry Turaev

  • On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I

    S V Gonchenko;L P Shilnikov;D V Turaev

  • Simple Scenarios of Onset of Chaos in Three-Dimensional Maps

    Alexander S. Gonchenko;Sergey V. Gonchenko;Alexey O. Kazakov;Dmitry Turaev

  • Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps

    Sergey Gonchenko;Dmitry Turaev;Leonid Shilnikov

  • Complexity in the bifurcation structure of homoclinic loops to a saddle-focus

    S.V. Gonchenko;Dmitry Turaev;Pierre Gaspard;Grégoire Nicolis

  • The universal rotation curve of spiral galaxies

    A. A. Kirillov;D. Turaev

  • Elliptic islands appearing in near-ergodic flows

    Dmitry Turaev;Vered Rom-Kedar

  • STRUCTURALLY STABLE SYSTEMS

    Leonid P Shilnikov;Andrey L Shilnikov;Dmitry V Turaev;Leon O Chua

  • Instabilities of lasers with moderately delayed optical feedback

    Matthias Wolfrum;Dmitry Turaev

  • ON DIMENSION OF NON-LOCAL BIFURCATIONAL PROBLEMS

    D. Turaev

Frequent Co-Authors

Sergey Zelik
Sergey Zelik University of Surrey
Leon O. Chua
Leon O. Chua University of California, Berkeley
Leonid A. Bunimovich
Leonid A. Bunimovich Georgia Institute of Technology
Bernold Fiedler
Bernold Fiedler Freie Universität Berlin
Grégoire Nicolis
Grégoire Nicolis Université Libre de Bruxelles
Carles Simó
Carles Simó University of Barcelona
Yakov Pesin
Yakov Pesin Pennsylvania State University
Yakov G. Sinai
Yakov G. Sinai Princeton University

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