|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, номер 2, страницы 69–86
(Mi basm199)
|
|
|
|
Эта публикация цитируется в 13 научных статьях (всего в 13 статьях)
Research articles
On rational bases of $GL(2,\mathbb{R})$-comitants of planar polynomial systems of differential equations
Iurie Calin Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Republic of Moldova
Аннотация:
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 $GL(2,\mathbb{R})$-comitants and $GL(2,\mathbb{R})$-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 $GL(2,\mathbb{R})$-comitants depending on the coordinates of one vector are obtained.
Ключевые слова и фразы:
differential system, comitant, invariant, transformation, canonical form, rational basis.
Поступила в редакцию: 31.12.2002
Образец цитирования:
Iurie Calin, “On rational bases of $GL(2,\mathbb{R})$-comitants of planar polynomial systems of differential equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 2, 69–86
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm199 https://www.mathnet.ru/rus/basm/y2003/i2/p69
|
|