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SM ISO690:2012 VULPE, Nicolae, LUPAN, Mircea. Classification of quadratic systems with a symmetry center and simple infinite singular points. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 1(41), pp. 102-119. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(41) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 102-119 | ||||||
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We classify the family of planar quadratic differential systems with a center of symmetry and two invariant straight lines according to the topology of their phase portraits. The case of the existence of simple infinite singular points is only considered. For each of the obtained distinct topological classes we give necessary and sufficient conditions in terms of algebraic invariants and comitants. The program was implemented for computer calculations. |
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Cuvinte-cheie quadratic differential system, invariant line, phase portrait, limit cycle. |
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