One new class of cubic systems with maximum number of invariant lines omitted in the classification of J. Llibre and N.Vulpe
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517.928 (1)
Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (242)
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BUJAC, Cristina. One new class of cubic systems with maximum number of invariant lines omitted in the classification of J. Llibre and N.Vulpe. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 2(75), pp. 102-105. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(75) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322

One new class of cubic systems with maximum number of invariant lines omitted in the classification of J. Llibre and N.Vulpe
CZU: 517.928

Pag. 102-105

Bujac Cristina
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 24 octombrie 2014


Rezumat

We present a new class of cubic systems with invariant lines of total multiplicity 9, including the line at infinity endowed with its own multiplicity. This class is different from the 23 classes included in the classification given in [4] by J. Llibre and N.Vulpe.

Cuvinte-cheie
Cubic differential system, configuration of invariant straight lines, multiplicity of an invariant straight line, Group action, affine invariant polynomial

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