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Preprints of the Keldysh Institute of Applied Mathematics, 2024, 061, 44 pp.
DOI: https://doi.org/10.20948/prepr-2024-61
(Mi ipmp3271)
 

This article is cited in 1 scientific paper (total in 1 paper)

Bifurcation spot on the parametric portrait of the two-dimensional version of the Aliev—Panfilov model

A. V. Moskalenko, S. A. Makhortykh
References:
Abstract: For the first time, a parametric portrait of a two-dimensional version of the Aliev—Panfilov model is presented, indicating the position of the bifurcation boundary and the bifurcation spot on it. The difference between this model and the 'classical' models of autowave processes is demonstrated. Some special cases of the behavior of an autowave vortex are presented, which have not been described in the scientific literature before. The publication is intended primarily for specialists in the fields of mathematical biology, mathematical physics of biological objects and biophysics.
Keywords: mathematical modeling, nonlinear dynamics, bifurcation theory, bifurcation memory, autowave processes.
Document Type: Preprint
Language: Russian
Citation: A. V. Moskalenko, S. A. Makhortykh, “Bifurcation spot on the parametric portrait of the two-dimensional version of the Aliev—Panfilov model”, Keldysh Institute preprints, 2024, 061, 44 pp.
Citation in format AMSBIB
\Bibitem{MosMak24}
\by A.~V.~Moskalenko, S.~A.~Makhortykh
\paper Bifurcation spot on the parametric portrait of the two-dimensional version of the Aliev—Panfilov model
\jour Keldysh Institute preprints
\yr 2024
\papernumber 061
\totalpages 44
\mathnet{http://mi.mathnet.ru/ipmp3271}
\crossref{https://doi.org/10.20948/prepr-2024-61}
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  • https://www.mathnet.ru/eng/ipmp/y2024/p61
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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