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    2024

    1. Bistable Wavefronts in the Delayed Belousov–Zhabotinsky Reaction
      HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ and Sergei TROFIMCHUK. Bistable Wavefronts in the Delayed Belousov–Zhabotinsky Reaction. SIAM Journal on Mathematical Analysis. Philadelphia (USA): Society for Industrial and Applied Mathematics Publications, 2024, vol. 56, No 1, p. 1197-1222. ISSN 0036-1410. Available from: https://dx.doi.org/10.1137/23M1569885.
      SIAM Journal on Mathematical Analysis
      RIV/47813059:19610/24:A0000159 Article in a journal. English. United States of America.
      Hasík, Karel (203 Czech Republic, belonging to the institution) -- Kopfová, Jana (703 Slovakia, belonging to the institution) -- Nábělková, Petra (203 Czech Republic, belonging to the institution) -- Trofimchuk, Sergei (804 Ukraine, guarantor)
      Keywords in English: Belousov-Zhabotinsky reaction; bistable model; delay; traveling front
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 5/3/2025 14:54.
      More: https://is.slu.cz/publication/82503/en

    2023

    1. Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction
      HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ, Olena TROFYMCHUK and Sergei TROFIMCHUK. Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction. Journal of Differential Equations. San DIego: Academic Press Inc. Elsevier Science, 2023, vol. 376, december, p. 102-125. ISSN 0022-0396. Available from: https://dx.doi.org/10.1016/j.jde.2023.08.013.
      Journal of Differential Equations
      RIV/47813059:19610/23:A0000135 Article in a journal. English. United States of America.
      Hasík, Karel (203 Czech Republic, belonging to the institution) -- Kopfová, Jana (703 Slovakia, belonging to the institution) -- Nábělková, Petra (203 Czech Republic, belonging to the institution) -- Trofymchuk, Olena (804 Ukraine) -- Trofimchuk, Sergei (804 Ukraine, guarantor)
      Keywords in English: Nonlocal delay; Wavefront; Reaction-diffusion; Belousov-Zhabotinsky reaction
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 8/4/2024 12:46.
      More: https://is.slu.cz/publication/78141/en

    2021

    1. On pushed wavefronts of monostable equation with unimodal delayed reaction
      HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ and Sergei TROFIMCHUK. On pushed wavefronts of monostable equation with unimodal delayed reaction. Discrete and Continuous Dynamical Systems - Series A. Springfield: American Institute of Mathematical Sciences, 2021, vol. 41, No 12, p. 5979-6000. ISSN 1078-0947. Available from: https://dx.doi.org/10.3934/dcds.2021103.
      Discrete and Continuous Dynamical Systems - Series A
      RIV/47813059:19610/21:A0000094 Article in a journal. English. United States of America.
      Hasík, Karel (203 Czech Republic, belonging to the institution) -- Kopfová, Jana (703 Slovakia, belonging to the institution) -- Nábělková, Petra (203 Czech Republic, belonging to the institution) -- Trofimchuk, Sergei (804 Ukraine, guarantor)
      Keywords in English: Traveling front; pushed wave; minimal speed
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 24/3/2022 21:30.
      More: https://is.slu.cz/publication/54421/en

    2020

    1. A cyclic system with delay and its characteristic equation
      HASÍK, Karel, Sergei TROFIMCHUK, Anatoli F. IVANOV and Elena BRAVERMAN. A cyclic system with delay and its characteristic equation. Discrete and Continuous Dynamical Systems - Series S. Springfield: American Institute of Mathematical Sciences, 2020, vol. 13, No 1, p. 1-29. ISSN 1937-1632. Available from: https://dx.doi.org/10.3934/dcdss.2020001.
      Discrete and Continuous Dynamical Systems - Series S
      RIV/47813059:19610/20:A0000074 Article in a journal. English. United States of America.
      Hasík, Karel (203 Czech Republic, belonging to the institution) -- Trofimchuk, Sergei (804 Ukraine, guarantor) -- Ivanov, Anatoli F. (804 Ukraine) -- Braverman, Elena (124 Canada)
      Keywords in English: Cyclic delay systems; sign feedback; overall negative feedback; linearization; characteristic equation; leading eigenvalue; eigenvalues with positive real parts; asymptotic behavior of eigenvalues; monotone solutions; oscillating solutions
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 06:54.
      More: https://is.slu.cz/publication/39683/en
    2. Nonlinearly determined wavefronts of the Nicholson's diffusive equation: when small delays are not harmless
      HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ, Sergei TROFIMCHUK and Zuzana CHLADNÁ. Nonlinearly determined wavefronts of the Nicholson's diffusive equation: when small delays are not harmless. Journal of Differential Equations. San DIego: Academic Press Inc. Elsevier Science, 2020, vol. 268, No 9, p. 5156-5178. ISSN 0022-0396. Available from: https://dx.doi.org/10.1016/j.jde.2019.11.007.
      Journal of Differential Equations
      RIV/47813059:19610/20:A0000073 Article in a journal. English. United States of America.
      Hasík, Karel (203 Czech Republic, belonging to the institution) -- Kopfová, Jana (703 Slovakia, belonging to the institution) -- Nábělková, Petra (203 Czech Republic, belonging to the institution) -- Trofimchuk, Sergei (804 Ukraine, guarantor) -- Chladná, Zuzana (703 Slovakia)
      Keywords in English: Non-linear determinacy; Delay; Wavefront; Existence; Super-exponential solution
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 13:51.
      More: https://is.slu.cz/publication/39682/en
    3. On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation
      HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ and Sergei TROFIMCHUK. On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation. Journal of Nonlinear Science. New York: SPRINGER, 2020, vol. 30, No 6, p. 2989-3026. ISSN 0938-8974. Available from: https://dx.doi.org/10.1007/s00332-020-09642-9.
      Journal of Nonlinear Science
      RIV/47813059:19610/20:A0000078 Article in a journal. English. United States of America.
      Hasík, Karel (203 Czech Republic, belonging to the institution) -- Kopfová, Jana (703 Slovakia, belonging to the institution) -- Nábělková, Petra (203 Czech Republic, belonging to the institution) -- Trofimchuk, Sergei (804 Ukraine, guarantor)
      Keywords in English: Non-local equation; Nonlinear determinacy; Delay; Wavefront; Existence; Uniqueness
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 13:52.
      More: https://is.slu.cz/publication/49260/en
Displayed: 4/4/2025 15:53