Classification of cubic systems with invariant straight lines along one direction of total multiplicity at least seven
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2022-02-22 12:47
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REPEŞCO, Vadim. Classification of cubic systems with invariant straight lines along one direction of total multiplicity at least seven. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 138-141. ISBN 978-9975-68-378-4.
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Proceedings IMCS-55 2019
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 28 septembrie - 1 octombrie 2019

Classification of cubic systems with invariant straight lines along one direction of total multiplicity at least seven


Pag. 138-141

Repeşco Vadim
 
Tiraspol State University
 
 
Disponibil în IBN: 28 noiembrie 2019


Rezumat

The Darboux integrability of a polynomial differential system depends on the multiplicities of its invariant curves. We show that there are 34 canonical forms of cubic systems which have real or complex invariant straight lines of total multiplicity seven along one direction including the straight line at the infinity.

Cuvinte-cheie
invariant straight lines, canonical forms