"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.