DESIR Version 2.0(Draft) 

Differential Equations Systems Integrator and Researcher

Authors: Govorukhin V.N. and Bereshpalov A.
Department of Computational Mathematics and Mathematical Physics.
Rostov-on-Don State University

  • Application package DESIR (Differential Equations Systems Integrator & Research) for investigation of differential equations systems. This package is devoted to the numerical investigation of ordinary differential equations and maps on IBM compatible PC (MS-DOS).
  • The system under study should be given in the form: dY/dt= F(t,Y,P) , where Y is the vector of N components (system's dimensionality, maximum value of which equals 8) and P is the vector of parameters. Besides the system itself, the matrix of linearized system (Jacobi matrix) should be introduced.
  • The main features of the program are the following:



    1. Construction of the trajectory of the given system starting from the initial point in different projections in the graphic windows of the screen.

    2. Assignment of graphic windows (quantity, demensions, coordinate axes) and of the regime of reflecting the trajectory on the screen (color, step, visibility, etc.).

    3. Assignment and change of the initial point and of any parameter of the system.

    4. Choice of the numeric method of solving the system of differential equations, of solving the eigenvalues and eigenvectors of matrix etc.

    5. Search of equilibrium points (its eigenvalues, analysis of criticals cases) of the given system.

    6. Saving of the current state to the disk with further continuation of the research starting from the saved spot.

    7. Storing information about all systems studied previonsly and their states.

    DESIR package can be used in research connected with ordinary differential equations (mathematical modeling in mechanics, physics, chemistry, biology, ecology) and in teaching students courses of differential equations, bifurcation theory, mathematical modeling, chaotic dynamics, etc.

    Download DESIR Version 2.0

    Installation instruction:
    1.  Get file (zip-archive)
    2.  Make desir dirrectory
    3.  Unzip archive with path
    If you get DESIR package please send some information about you to Vasiliy Govorukhin.

    1) Name:

    2) Institution:

    3) E-Mail:

    Please communicate any comments or suggestions to V. Govorukhin.
     Authors will be very thankfull to all  users for questions and comments!!!