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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 1, Pages 102–119
(Mi basm192)
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This article is cited in 2 scientific papers (total in 2 papers)
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
Abstract:
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.
Keywords and phrases:
quadratic differential system, invariant line, phase portrait, limit cycle.
Received: 30.12.2002
Citation:
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
Linking options:
https://www.mathnet.ru/eng/basm192 https://www.mathnet.ru/eng/basm/y2003/i1/p102
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Abstract page: | 325 | Full-text PDF : | 73 | References: | 76 | First page: | 1 |
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