Geodesic
Cubic differential systems with two affine real non-parallel invariant straight lines of maximal multiplicity
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2015), pp. 79-101

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In this article we classify all differential real cubic systems possessing two affine real non-parallel invariant straight lines of maximal multiplicity. We show that the maximal multiplicity of each of these lines is at most three. The maximal sequences of multiplicities: $m(3,3;1)$, $m(3,2;2)$, $m(3,1;3)$, $m(2,2;3)$, $m_\infty(2,1;3)$, $m_\infty(1,1;3)$ are determined. The normal forms and the corresponding perturbations of the cubic systems which realize these cases are given. 
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     author = {Olga Vacara\c{s}},
     title = {Cubic differential systems with two affine real non-parallel invariant straight lines of maximal multiplicity},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {79--101},
     publisher = {mathdoc},
     number = {3},
     year = {2015},
     language = {en},
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}
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Olga Vacaraş. Cubic differential systems with two affine real non-parallel invariant straight lines of maximal multiplicity. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2015), pp. 79-101. http://geodesic.mathdoc.fr/item/BASM_2015_3_a6/