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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, номер 1, страницы 102–119
(Mi basm192)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Research articles
Classification of quadratic systems with a symmetry center and simple infinite singular points
Mircea Lupana, Nicolae Vulpeb a Department of Mathematics, "Gh. Asachi" Technical University of Iasi, Iasi, Romania
b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Republic of Moldova
Аннотация:
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.
Ключевые слова и фразы:
quadratic differential system, invariant line, phase portrait, limit cycle.
Поступила в редакцию: 30.12.2002
Образец цитирования:
Mircea Lupan, Nicolae Vulpe, “Classification of quadratic systems with a symmetry center and simple infinite singular points”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 1, 102–119
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm192 https://www.mathnet.ru/rus/basm/y2003/i1/p102
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