Irina Nizhnik

@imath.kiev.ua

Department of Differential Equations and Nonlinear Oscillations
Institute of Mathematics NAS of Ukraine

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics
11

Scopus Publications

104

Scholar Citations

5

Scholar h-index

4

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Spectral Analysis of Self-Adjoint Momentum Operators with Nonlocal Potentials
    K Dębowska, I Nizhnik
    Ukrainian Mathematical Journal, 1-33 , 2025
    2025.0
    Citations: 1
  • Deterministic diffusion in dynamical systems with a tiled phase space
    I Nizhnik
    arXiv preprint arXiv:2501.00182 , 2024
    2024.0
  • Spectral analysis of self-adjoint first order differential operators with nonlocal potentials
    K Dębowska, IL Nizhnik
    arXiv preprint arXiv:2312.15775 , 2023
    2023.0
    Citations: 1
  • Детермінована дифузія
    ІЛ Нижник, ЛП Нижник
    Ukrains’ kyi Matematychnyi Zhurnal 71 (11), 1553-1569 , 2019
    2019.0
  • Differential equations with bistable nonlinearity
    AM Samoilenko, IL Nizhnik
    Ukrainian Mathematical Journal 67 (4), 584-624 , 2015
    2015.0
    Citations: 12
  • Deterministic Diffusion
    L Nizhnik, I Nizhnik
    arXiv preprint arXiv:1501.00674 , 2015
    2015.0
    Citations: 1
  • Kinklike solutions of fourth-order differential equations with a cubic bistable nonlinearity
    AM Samoilenko, IL Nizhnik
    Differential Equations 50 (2), 203-212 , 2014
    2014.0
    Citations: 1
  • Sergio Albeverio
    S Albeverio, GA Galperin, IL Nizhnik, LP Nizhnik
    2014.0
  • Periodic solutions of second-order differential equations with discontinuous nonlinearity
    I Nyzhnyk, Krasneeva
    Journal of Mathematical Sciences 191 (3) , 2013
    2013.0
    Citations: 14
  • Stable stationary solutions for a reaction–diffusion equation with a multi-stable nonlinearity
    I Nizhnik
    Physics Letters A 357 (4-5), 319-322 , 2006
    2006.0
    Citations: 9
  • Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries
    SA Albeverio, GA Gal'perin, IL Nizhnik, LP Nizhnik
    Regular and Chaotic Dynamics 10 (3), 285-306 , 2005
    2005.0
    Citations: 4
  • Stable stationary solutions in reaction–diffusion systems consisting of a 1-d array of bistable cells
    LP Nizhnik, IL Nizhnik, M Hasler
    International Journal of Bifurcation and Chaos 12 (02), 261-279 , 2002
    2002.0
    Citations: 32
  • Spatial chaos in a fourth-order nonlinear parabolic equation
    S Albeverio, IL Nizhnik
    Physics Letters A 288 (5-6), 299-304 , 2001
    2001.0
    Citations: 28
  • Stable solutions of a system of two connected Chua cells
    IL Nizhnik
    Ukrainian Mathematical Journal 50 (11), 1789-1791 , 1998
    1998.0
  • Stable difference scheme for a nonlinear Klein-Gordon equation
    IL Nizhnik
    Ukrainian Mathematical Journal 49 (6), 960-962 , 1997
    1997.0
    Citations: 1
  • Soliton attraction law
    IL Nizhnik
    Ukrainian Mathematical Journal 47 (5), 789-792 , 1995
    1995.0
  • Publication: Regular and Chaotic Dynamics Pub Date: 2005
    S Albeverio, G Galperin, IL Nizhnik, LP Nizhnik
  • Traveling avalanche waves in spatially discrete bistable reaction–diffusion systems
    L Nizhnik, M Hasler, I Nizhnik

MOST CITED SCHOLAR PUBLICATIONS

  • Stable stationary solutions in reaction–diffusion systems consisting of a 1-d array of bistable cells
    LP Nizhnik, IL Nizhnik, M Hasler
    International Journal of Bifurcation and Chaos 12 (02), 261-279 , 2002
    2002.0
    Citations: 32
  • Spatial chaos in a fourth-order nonlinear parabolic equation
    S Albeverio, IL Nizhnik
    Physics Letters A 288 (5-6), 299-304 , 2001
    2001.0
    Citations: 28
  • Periodic solutions of second-order differential equations with discontinuous nonlinearity
    I Nyzhnyk, Krasneeva
    Journal of Mathematical Sciences 191 (3) , 2013
    2013.0
    Citations: 14
  • Differential equations with bistable nonlinearity
    AM Samoilenko, IL Nizhnik
    Ukrainian Mathematical Journal 67 (4), 584-624 , 2015
    2015.0
    Citations: 12
  • Stable stationary solutions for a reaction–diffusion equation with a multi-stable nonlinearity
    I Nizhnik
    Physics Letters A 357 (4-5), 319-322 , 2006
    2006.0
    Citations: 9
  • Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries
    SA Albeverio, GA Gal'perin, IL Nizhnik, LP Nizhnik
    Regular and Chaotic Dynamics 10 (3), 285-306 , 2005
    2005.0
    Citations: 4
  • Spectral Analysis of Self-Adjoint Momentum Operators with Nonlocal Potentials
    K Dębowska, I Nizhnik
    Ukrainian Mathematical Journal, 1-33 , 2025
    2025.0
    Citations: 1
  • Spectral analysis of self-adjoint first order differential operators with nonlocal potentials
    K Dębowska, IL Nizhnik
    arXiv preprint arXiv:2312.15775 , 2023
    2023.0
    Citations: 1
  • Deterministic Diffusion
    L Nizhnik, I Nizhnik
    arXiv preprint arXiv:1501.00674 , 2015
    2015.0
    Citations: 1
  • Kinklike solutions of fourth-order differential equations with a cubic bistable nonlinearity
    AM Samoilenko, IL Nizhnik
    Differential Equations 50 (2), 203-212 , 2014
    2014.0
    Citations: 1
  • Stable difference scheme for a nonlinear Klein-Gordon equation
    IL Nizhnik
    Ukrainian Mathematical Journal 49 (6), 960-962 , 1997
    1997.0
    Citations: 1
  • Deterministic diffusion in dynamical systems with a tiled phase space
    I Nizhnik
    arXiv preprint arXiv:2501.00182 , 2024
    2024.0
  • Детермінована дифузія
    ІЛ Нижник, ЛП Нижник
    Ukrains’ kyi Matematychnyi Zhurnal 71 (11), 1553-1569 , 2019
    2019.0
  • Sergio Albeverio
    S Albeverio, GA Galperin, IL Nizhnik, LP Nizhnik
    2014.0
  • Stable solutions of a system of two connected Chua cells
    IL Nizhnik
    Ukrainian Mathematical Journal 50 (11), 1789-1791 , 1998
    1998.0
  • Soliton attraction law
    IL Nizhnik
    Ukrainian Mathematical Journal 47 (5), 789-792 , 1995
    1995.0
  • Publication: Regular and Chaotic Dynamics Pub Date: 2005
    S Albeverio, G Galperin, IL Nizhnik, LP Nizhnik
  • Traveling avalanche waves in spatially discrete bistable reaction–diffusion systems
    L Nizhnik, M Hasler, I Nizhnik