Russian Journal of Nonlinear Dynamics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Russian Journal of Nonlinear Dynamics, 2019, Volume 15, Number 1, Pages 13–19
DOI: https://doi.org/10.20537/nd190102 (Mi nd636) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear physics and mechanics

On Integrability of the FitzHugh – Rinzel Model

N. A. Kudryashov

Department of Applied Mathematics, National Research Nuclear University MEPHI, Kashirskoe sh. 31, Moscow, 115409 Russia
Full-text PDF (191 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.20537/nd190102
Abstract: The integrability of the FitzHugh – Rinzel model is considered. This model is an example of the system of equations having the expansion of the general solution in the Puiseux series with three arbitrary constants. It is shown that the FitzHugh – Rinzel model is not integrable in the general case, but there are two formal first integrals of the system of equations for its description. Exact solutions of the FitzHugh – Rinzel system of equations are given.
Keywords: FitzHugh – Rinzel model, Painlevé test, first integral, general solution, exact solution.
Funding agency Grant number
Russian Science Foundation 18-11-00209
This research was supported by the Russian Science Foundation under Grant No 18-11-00209 “Development of methods for investigation of nonlinear mathematical models”.
Received: 03.03.2019
Accepted: 17.03.2019
Bibliographic databases:
Document Type: Article
MSC: 37D40
Language: English
Citation: N. A. Kudryashov, “On Integrability of the FitzHugh – Rinzel Model”, Rus. J. Nonlin. Dyn., 15:1 (2019), 13–19
Citation in format AMSBIB
\Bibitem{Kud19}
\by N. A. Kudryashov
\paper On Integrability of the FitzHugh – Rinzel Model
\jour Rus. J. Nonlin. Dyn.
\yr 2019
\vol 15
\issue 1
\pages 13--19
\mathnet{http://mi.mathnet.ru/nd636}
\crossref{https://doi.org/10.20537/nd190102}
\elib{https://elibrary.ru/item.asp?id=37293018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064531968}
Linking options:
  • https://www.mathnet.ru/eng/nd636
  • https://www.mathnet.ru/eng/nd/v15/i1/p13
    • 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
    		Russian Journal of Nonlinear Dynamics
    Statistics & downloads:
    Abstract page:272
    Full-text PDF :90
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024