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Matematicheskaya Biologiya i Bioinformatika, 2006, Volume 1, Issue 1, Pages 27–40 (Mi mbb3)  

This article is cited in 16 scientific papers (total in 16 papers)

Mathematical Modeling

Autowave processes

Yu. E. El'kin

Institute of Mathematical Problems of Biology, Russian Academy of Sciences
References:
Abstract: The article describes in popular manner the basic concepts of the theory of autowaves. A review of the literature on certain mathematical methods of autowaves investigation is given. The article expands the previously published review.
Received 17.05.2006, Published 25.05.2006
Document Type: Article
UDC: 577.352
Language: Russian
Citation: Yu. E. El'kin, “Autowave processes”, Mat. Biolog. Bioinform., 1:1 (2006), 27–40
Citation in format AMSBIB
\Bibitem{Elk06}
\by Yu.~E.~El'kin
\paper Autowave processes
\jour Mat. Biolog. Bioinform.
\yr 2006
\vol 1
\issue 1
\pages 27--40
\mathnet{http://mi.mathnet.ru/mbb3}
Linking options:
  • https://www.mathnet.ru/eng/mbb3
  • https://www.mathnet.ru/eng/mbb/v1/i1/p27
  • This publication is cited in the following 16 articles:
    1. A. V. Moskalenko, S. A. Makhortykh, “Bifurkatsionnoe pyatno na parametricheskom portrete dvumernoi versii modeli Alieva—Panfilova”, Preprinty IPM im. M. V. Keldysha, 2024, 061, 44 pp.  mathnet  crossref
    2. G. I. Strelkova, V. S. Anishchenko, “Spatio-temporal structures in ensembles of coupled chaotic systems”, Phys. Usp., 63:2 (2020), 145–161  mathnet  crossref  crossref  adsnasa  isi  elib
    3. Bukh V A., Strelkova I G., Anishchenko V.S., “Synchronization Features of Target Wave Structures With An Incoherent Center”, Chaos Solitons Fractals, 139 (2020), 110002  crossref  mathscinet  isi  scopus
    4. Bukh V A., Anishchenko V.S., “Spiral, Target, and Chimera Wave Structures in a Two-Dimensional Ensemble of Nonlocally Coupled Van der Pol Oscillators”, Tech. Phys. Lett., 45:7 (2019), 675–678  crossref  mathscinet  isi  scopus
    5. Sidorova A.E., Levashova N.T., Malyshko E.V., Tverdislov V.A., “Autowave Self-Organization in the Folding of Proteins”, Mosc. Univ. Phys. Bull., 74:3 (2019), 213–226  crossref  isi  scopus
    6. O. V. Gavrilova, “Numerical study of a mathematical model of an autocatalytic reaction with diffusion in a tubular reactor”, J. Comp. Eng. Math., 5:3 (2018), 24–37  mathnet  crossref  mathscinet  elib
    7. Guchenko S.A., Eremin E.N., Yurov V.M., Laurinas V.Ch., Kasimov S.S., Zavatskaya O.N., “Autovole Processes in Deprivation Plasma Coatings”, Bull. Univ. Karaganda-Phys., 4:92 (2018), 8–18  isi
    8. N. T. Levashova, A. A. Melnikova, D. V. Lukyanenko, A. E. Sidorova, S. V. Bytsyura, “Modelirovanie urboekosistem kak protsessov samoorganizatsii”, Matem. modelirovanie, 29:11 (2017), 40–52  mathnet  elib
    9. A. E. Sidorova, N. T. Levashova, A. A. Melnikova, A. E. Semina, “Model strukturoobrazovaniya urboekosistem kak protsess avtovolnovoi samoorganizatsii v aktivnykh sredakh”, Matem. biologiya i bioinform., 12:1 (2017), 186–197  mathnet  crossref
    10. Shepelev I.A., Vadivasova T.E., “Evolution of Traveling Waves in Bistable Medium With Periodic Boundary Conditions”, Tech. Phys. Lett., 41:9 (2015), 828–831  crossref  isi  elib  scopus
    11. A. V. Slepnev, T. E. Vadivasova, “Dva vida avtokolebanii v aktivnoi srede s periodicheskimi granichnymi usloviyami”, Nelineinaya dinam., 8:3 (2012), 497–505  mathnet
    12. Zaspa Yu.P., “Autowave Friction and Nonequilibrium Dynamic Tribosystem Self-Regulation”, J. Frict. Wear, 33:5 (2012), 396–405  crossref  isi  elib  elib  scopus
    13. M. V. Neshchadim, “Conservation laws for a system of diffusion reaction type with one spatial variable”, J. Appl. Industr. Math., 5:3 (2011), 400–405  mathnet  crossref  mathscinet
    14. V. D. Lakhno, N. S. Fialko, “Mekhanizm ostanovki dvizhuschegosya solitona v odnorodnoi molekulyarnoi tsepochke”, Kompyuternye issledovaniya i modelirovanie, 1:1 (2009), 93–99  mathnet  crossref
    15. M. V. Neschadim, “Zakony sokhraneniya dlya sistemy tipa reaktsiya-diffuziya”, Sib. zhurn. industr. matem., 11:4 (2008), 125–135  mathnet  mathscinet
    16. Yu. E. El'kin, A. V. Moskalenko, Ch. F. Starmer, “Spontaneous halt of spiral wave drift in homogeneous excitable media”, Mat. Biolog. Bioinform., 2:1 (2007), 1–9  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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