DESIR Version 2.0(Draft)
Differential Equations Systems Integrator and Researcher
V.N. and Bereshpalov A.
of Computational Mathematics and Mathematical Physics.
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
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,
If you get DESIR package please send some information about you
to Vasiliy Govorukhin.
Get file desir2.zip (zip-archive)
Make desir dirrectory
Unzip archive with path
Please communicate any comments or suggestions to
will be very thankfull to all users for questions and comments!!!