Canonical forms of cubic differential systems with invariant straight lines of total multiplicity seven along one direction
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2023-11-16 23:42
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REPEŞCO, Vadim. Canonical forms of cubic differential systems with invariant straight lines of total multiplicity seven along one direction. In: Conference on Applied and Industrial Mathematics: CAIM 2017, 14-17 septembrie 2017, Iași. Chișinău: Casa Editorial-Poligrafică „Bons Offices”, 2017, Ediţia 25, p. 21. ISBN 978-9975-76-247-2.
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Conference on Applied and Industrial Mathematics
Ediţia 25, 2017
Conferința "Conference on Applied and Industrial Mathematics"
Iași, Romania, 14-17 septembrie 2017

Canonical forms of cubic differential systems with invariant straight lines of total multiplicity seven along one direction


Pag. 21-21

Repeşco Vadim
 
Tiraspol State University
 
 
Disponibil în IBN: 22 septembrie 2022


Rezumat

According to [1], we can construct a Darboux rst integral for a cubic di erential system, if this system has suciently many invariant straight lines considered with their multiplicities. In this paper we obtain 27 canonical forms of cubic di erential systems which possess invariant straight lines of total multiplicity at least seven (including the invariant straight line at the in nity) along one direction.