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An algebraic approach to a study of two-dimensional affine differential system
Authors: E.Naidenova
Keywords: Differential equation, Lie algebra, affine invariant, Aff(2, ℜ)-orbit.
Mathematics Subject Classification 2000: 34C14, 34C05, 58F14
– 0.18 Mb
Keywords: Differential equation, Lie algebra, affine invariant, Aff(2, ℜ)-orbit.
Abstract
In a present paper a problem of classification of Aff(2, ℜ)-orbits' dimensions is considered on example of an autonomous two-dimensional affine differential system of first order. Methods of Lie algebras are used in the work, as well as methods of group analysis. Computer algebra systems "Bergman" and "Mathematica 5.0" are widely used.Mathematics Subject Classification 2000: 34C14, 34C05, 58F14
E.Naidenova
Institute of Mathematics and Computer Science,
5 Academiei str.
Chişinău, MD-2028, Moldova.
E-mail:
Institute of Mathematics and Computer Science,
5 Academiei str.
Chişinău, MD-2028, Moldova.
E-mail:
Fulltext
– 0.18 Mb
Contents
- Introduction
- A New Attempt On The F5 Criterion
- Some Remarks on Blowing-Ups in a Computer Algebra System
- Computing one of Victor Moll's irresistible integrals with computer algebra
- An algebraic approach to a study of two-dimensional affine differential system
- A zero-dimensional approach to compute real radicals
- Grobner Bases for Nonlinear DAE Systems of Analog Circuits
- Private Key Extension of Polly Cracker Cryptosystems
- On the Cancellation Rule in the Homogenization
- Approaches to automated construction of graphical shells for computer algebra systems
- Congratulations
