Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On rational bases of GL(2,R)-comitants of planar polynomial systems of differential equations. (English)
Authors: Calin Iurie
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Abstract
The linear transformations of autonomous planar polynomial systems of differential equations which reduce these systems to the canonical forms with coefficients expressed as rational functions of GL(2,R)-comitants and GL(2,R)-invariants are established. Such canonical forms for general quadratic and cubic systems are constructed in concrete forms. Using constructed canonical forms for polynomial systems some rational bases of GL(2,R)-comitants depending on the coordinates of one vector are obtained.Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., Chisinau,
MD-2028, Moldova
E-mail:
Academy of Sciences of Moldova
5 Academiei str., Chisinau,
MD-2028, Moldova
E-mail:
Fulltext
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Contents
- Academician C.S.Sibirsky as organizer and head of the Seminar on Qualitative Theory on Differential equations.
- On Strong Stability of Linear Poisson Actions. (English)
- Algebraic equations with invariant coefficients in qualitative study of the polynomial homogeneous differential systems. (English)
- Studying stability of the equilibrium solutions in the restricted Newton's problem of four bodies. (English)
- The centre-focus problem for analytical systems of Lienard form in degenerate case. (English)
- On initial value problem in theory of the second order differential equations. (English)
- About some equations of the third order with six poles. (English)
- On rational bases of GL(2,R)-comitants of planar polynomial systems of differential equations. (English)
- Ergodic sets and mixing extensions of topological transformation semigroups. (English)
- Linear singular perturbations of hyperbolic-parabolic type. (English)
- Numerical investigation of the process of detonation waves interaction with an elastoplastic target. (English)
- Mediateca for the scientists of Moldova: results and prospects. (English)
