"Computer Algebra Support for Dynamical System Study"
V. Govorukhin (*), V. Tsybulin
Rostov State University, Faculty of Mechanics and Mathematics
Dept. of Comput. Mathematics
Zorge str. 5
Rostov-on-Don, 344090
Russia
E-mail:vgov@ms.math.rsu.ru
In this talk the application of computer algebra system Maple for the
support of nonlinear dynamic teaching is presented. We combine Maple and
DESIR program (dynamical systems researching tool). The result of this
approach is rather successful. The students were capable to execute all
research works and master both packages. Moreover, we find that separate
learning of dynamical systems theory and advanced computer tools takes
more time and efforts than combined approach.
Firstly, we formulate a number of research works on nonlinear dynamics
and list the demands to computer algebra system. Then we explain the
necessity of combined using of special program for dynamical system
investigation and briefly describe a package Desir created by
V.Govorukhin. Finally we present application of Maple and Desir to study
one-dimensional polynomial map and nonlinear ordinary differential
equations systems.