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Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (242) |
Computational mathematics. Numerical analysis (123) |
SM ISO690:2012 BUJAC, Cristina. The classification of a family of cubic differential systems in terms of configurations of invariant lines of the type (3, 3). In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 2(90), pp. 79-98. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(90) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.977+517.98+519.6 | ||||||
MSC 2010: 58K45, 34C05, 34A34. | ||||||
Pag. 79-98 | ||||||
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Rezumat | ||||||
In this article we consider the class of non-degenerate real planar cubic vector fields, which possess two real and two complex distinct infinite singularities and invariant straight lines, including the line at infinity, of total multiplicity 7. In addition, the systems from this class possess configurations of the type (3, 3). We prove that there are exactly 16 distinct configurations of invariant straight lines for this class and present corresponding examples for the realization of each one of the detected configurations. |
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Cuvinte-cheie Cubic differential system, invariant straight line, multiplicity of invariant lines, infinite and finite singularities, affine invariant polynomial, Group action, configuration of invariant lines, multiplicity of singularity |
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