RU
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Ilya Fateev Highly qualified junior researcher

E-mail: i.fateev@lebedev.ru

Research Interests

  • Dynamics in networks of coupled neurons: The study of dynamical regimes in systems of interacting neurons whose connectivity organization is based on fractional-differential laws.
  • Partial synchronization states in distributed systems: The study of full and partial synchronization states, as well as incoherent modes in ensembles of interacting oscillators.
  • Mathematical and numerical methods: Fractional differential equations, reaction-superdiffusion systems.

Публикации

  • · Fateev I., Polezhaev A. Synchronization transitions in a system of superdiffusively coupled neurons: Interplay of chimeras, solitary states, and phase waves //Chaos: An Interdisciplinary Journal of Nonlinear Science. – 2024. – Т. 34. – №. 9. DOI: 10.1063/5.0226751
  • · Fateev I., Polezhaev A. Chimera states in a lattice of superdiffusively coupled neurons //Chaos, Solitons & Fractals. – 2024. – Т. 181. – С. 114722. DOI: 10.1016/j.chaos.2024.114722
  • · Fateev I., Polezhaev A. Chimera states in a chain of superdiffusively coupled neurons //Chaos: An Interdisciplinary Journal of Nonlinear Science. – 2023. – Т. 33. – №. 10. DOI: 10.1063/5.0168422
  • · Фатеев И. С., Полежаев А. А. Химерные состояния в системах супердиффузионно связанных нейронов // Известия Саратовского университета. Новая серия. Серия: Физика.– 2024. – Т. 24, – вып. 4. С. 328-339. DOI: 10.18500/1817-3020-2024-24-4-328-339, EDN: AKRGLX
  • · Fateev I. S., Polezhaev A. A. Dynamics of a chain of interacting neurons with nonlocal coupling, given by Laplace operator of fractional and variable orders with nonlinear Hindmarsh–Rose model functions//Bulletin of the Lebedev Physics Institute. – 2023. – Т. 50. – №. 6. – С. 243-252. DOI: 10.3103/S1068335623060039

    • Additional information

  • ResearchGate: Ilya-Fateev

  • researcher ID: JGD-4099-2023