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517.925.41 (2) |
Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (242) |
SM ISO690:2012 SUBA, Alexandru, REPEŞCO, Vadim. Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 3(82), pp. 38-56. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(82) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.925.41 | ||||||
MSC 2010: 34C05 | ||||||
Pag. 38-56 | ||||||
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Rezumat | ||||||
In this paper cubic systems which have degenerate infinity and invariant straight lines of total multiplicity five are classified. It is proved that, modulo affine transformations and time rescaling, there are 24 classes of such systems. For every class the qualitative investigation was carried out in the Poincar´e disc. |
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Cuvinte-cheie Cubic differential system, invariant straight line, phase portrait |
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