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D-Index & Metrics

Mathematics

D-Index
30
Citations
3895
World Ranking
3517
National Ranking
28

Overview

Marat Akhmet is affiliated with Middle East Technical University in Turkey and has contributed extensively to the fields of Computer Science, Physics and Astronomy, and Mathematics. Their work spans multiple subfields, notably Statistical and Nonlinear Physics, Computer Networks and Communications, Artificial Intelligence, Mathematical Physics, and Numerical Analysis.

The research topics that feature prominently in Akhmet's work include:

  • Chaos control and synchronization
  • Neural Networks Stability and Synchronization
  • Nonlinear Dynamics and Pattern Formation
  • Neural Networks and Applications
  • Mathematical Dynamics and Fractals
  • Stochastic dynamics and bifurcation
  • Quantum chaos and dynamical systems

Akhmet has published in a variety of academic venues. The most frequent publication outlets are:

  • The interdisciplinary journal of Discontinuity Nonlinearity and Complexity
  • Mathematics
  • Carpathian Journal of Mathematics
  • arXiv (Cornell University)
  • Symmetry

Selected recent papers include:

  • Shunting inhibitory cellular neural networks with strongly unpredictable oscillations (2020), Communications in Nonlinear Science and Numerical Simulation
  • Quasilinear differential equations with strongly unpredictable solutions (2020), Carpathian Journal of Mathematics
  • Unpredictable Oscillations for Hopfield-Type Neural Networks with Delayed and Advanced Arguments (2021), Mathematics
  • Modulo periodic Poisson stable solutions of quasilinear differential equations (2021), arXiv (Cornell University)
  • Inertial Neural Networks with Unpredictable Oscillations (2020), Mathematics

Marat Akhmet collaborates frequently with other researchers. These frequent co-authors include:

  • Madina Tleubergenova
  • Mehmet Onur Fen
  • Ejaily Milad Alejaily
  • Akylbek Zhamanshin
  • Zakhira Nugayeva

In addition to journal articles, Akhmet has contributed to book literature. Notably, they published the book Dynamics with Chaos and Fractals (2020) through Springer International Publishing.

Best Publications

  • Principles of Discontinuous Dynamical Systems

    Marat Akhmet

  • Integral manifolds of differential equations with piecewise constant argument of generalized type

    Marat Akhmet

  • Nonlinear Hybrid Continuous/Discrete-Time Models

    Marat Akhmet

  • Stability of differential equations with piecewise constant arguments of generalized type

    M.U. Akhmet

  • On the reduction principle for differential equations with piecewise constant argument of generalized type

    M.U. Akhmet

  • An impulsive ratio-dependent predator–prey system with diffusion

    M.U. Akhmet;M. Beklioglu;T. Ergenc;V.I. Tkachenko

  • On the general problem of stability for impulsive differential equations

    M.U. Akhmet

  • Stability analysis of recurrent neural networks with piecewise constant argument of generalized type

    M. U. Akhmet;D. Aruğaslan;E. Yılmaz

  • Perturbations and Hopf bifurcation of the planar discontinuous dynamical system

    M.U. Akhmet

  • Stability in cellular neural networks with a piecewise constant argument

    M. U. Akhmet;D. Aruğaslan;E. Yılmaz

  • Impulsive Hopfield-type neural network system with piecewise constant argument

    Marat Akhmet;Elanur Yılmaz

  • Neural Networks with Discontinuous/Impact Activations

    Marat Akhmet;Enes Yilmaz

  • Unpredictable points and chaos

    Marat Akhmet;Mehmet Onur Fen

  • Chaotic period-doubling and OGY control for the forced Duffing equation

    M.U. Akhmet;M.O. Fen

  • Replication of chaos

    Marat U. Akhmet;Mehmet Onur Fen

  • Replication of Chaos in Neural Networks, Economics and Physics

    Marat Akhmet;Mehmet Onur Fen

  • Devaney’s chaos of a relay system

    M.U. Akhmet

  • Almost periodic solutions of differential equations with piecewise constant argument of generalized type

    M.U. Akhmet

  • Lyapunov-Razumikhin method for differential equations with piecewise constant argument

    Marat Akhmet;Duygu Aruğaslan

  • Perron's theorem for linear impulsive differential equations with distributed delay

    M. U. Akhmet;J. Alzabut;A. Zafer

  • The differential equations on time scales through impulsive differential equations

    M.U. Akhmet;M. Turan

Frequent Co-Authors

Gerhard-Wilhelm Weber
Gerhard-Wilhelm Weber Poznań University of Technology
Michal Fečkan
Michal Fečkan Comenius University
Xinzhi Liu
Xinzhi Liu University of Waterloo
Jehad Alzabut
Jehad Alzabut Prince Sultan University

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