Mathematical Problems in Engineering 
Volume 2004 (2004), Issue 5, Pages 411-451
doi:10.1155/S1024123X04406036

Asymptotic-group analysis of algebraic equations

A. D. Shamrovskii,1 I. V. Andrianov,2 and J. Awrejcewicz3

 1Zaporoshye State Engineering Academy, Department of Software for Automatic Systems, pr. Lenina 226, Zaporoshye UA-69006, Ukraine
2Institut für Allgemeine Mechanik der RWTH Aachen, Templergraben 64, Aachen 52062, Germany
3Department of Automatics and Biomechanics, Technical University of Łódź, Łódź 90-924, Poland
Received 15 June 2004

Abstract

Both the method of asymptotic analysis and the theory of extension group are applied to study the Descates equation. The proposed algorithm allows to obtain various variants of simplification and can be easily generalized to their algebraic and differential equations.