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IMCS/Publications/BASM/Issues/BASM n.3(82), 2016/

Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five

Authors: Şubă Alexandru, Vadim Repeșco

Abstract

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.

Alexandru Șubă
Institute of Mathematics
and Computer Science ASM
Chișinău, Republic of Moldova
E-mail:

Vadim Repeșco
State University of Tiraspol
Chișinău, Republic of Moldova
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