RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik SamU. Estestvenno-Nauchnaya Ser.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik SamU. Estestvenno-Nauchnaya Ser., 2018, Issue 24, Issue 3, Pages 41–52 (Mi vsgu582)  

Mathematic Modeling

PhaPl web application for automatic building and research of phase portraits on plane

A. A. Cherepanov

Department of Higher Mathematics, Plekhanov Russian University of Economics, 36, Stremyanny lane, Moscow, 117997, Russian Federation

Abstract: The article aims to document PhaPl that’s a teaching web application to plot and research phase portraits of autonomous systems of 2 differential equations on a plane. The web application is very different compared with previously known programs: it has very easy graphical user interface and it gives clarity because it demonstrates all steps of solution. To get the full solution, it is enough to just enter a system to research. Initial conditions to plot phase trajectories are chosen automatically. Graphical representation of the phase plane is interactive. The web application is based on popular Free Software (SymPy, PyPy.js, MathJax, LZMA-JS). The web application is portable and works in web browsers that support JavaScript and canvas element of HTML5. The web application can be downloaded and used offline without connection to the Internet. The article describes advantages, disadvantages and peculiar properties of the web application. The software is deployed in Plekhanov Russian University of Economics since 2018.

Keywords: phase plane, SymPy, Free Software, PyPy.js, MathJax, LaTeX, web application, educational software, linear system, non-linear system, phase portrait.

DOI: https://doi.org/10.18287/2541-7525-2018-24-3-41-52

Full text: PDF file (476 kB)
Full text: http://www.journals.ssau.ru/.../6452 (published under the terms of the Creative Commons Attribution 4.0 International License)
References: PDF file   HTML file

Document Type: Article
UDC: 517.9
Received: 20.09.2018

Citation: A. A. Cherepanov, “PhaPl web application for automatic building and research of phase portraits on plane”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:3 (2018), 41–52

Citation in format AMSBIB
\Bibitem{Che18}
\by A.~A.~Cherepanov
\paper PhaPl web application for automatic building and research of phase portraits on plane
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2018
\vol 24
\issue 3
\pages 41--52
\mathnet{http://mi.mathnet.ru/vsgu582}
\crossref{https://doi.org/10.18287/2541-7525-2018-24-3-41-52}
\elib{http://elibrary.ru/item.asp?id=36731742}


Linking options:
  • http://mi.mathnet.ru/eng/vsgu582
  • http://mi.mathnet.ru/eng/vsgu/v24/i3/p41

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Вестник Самарского государственного университета. Естественнонаучная серия
    Number of views:
    This page:26
    Full text:7
    References:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019