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 SM ISO690:2012CALIN, Iurie. On rational bases of GL(2,R)-comitants of planar polynomial systems of differential equations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 2(42), pp. 69-86. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(42) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 69-86 | ||||||
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The linear transformations of autonomous planar polynomial systems of
differential equations which reduce these systems to the canonical forms with coeffi-
cients 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 sys-
tems some rational bases of GL(2, R)-comitants depending on the coordinates of one
vector are obtained. |
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| Cuvinte-cheie differential system, comitant, invariant, transformation, canonical form |
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