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Canonical forms for cubic differential systems with affine real invariant straight lines of total parallel multiplicity six and configurations (2(m), 2(n), 1, 1)

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dc.contributor.author PUȚUNTICĂ, Vitalie
dc.date.accessioned 2020-11-02T18:28:39Z
dc.date.available 2020-11-02T18:28:39Z
dc.date.issued 2018
dc.identifier.citation PUȚUNTICĂ, Vitalie. Canonical forms for cubic differential systems with affine real invariant straight lines of total parallel multiplicity six and configurations (2(m), 2(n), 1, 1). In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, pp. 39-40. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/11002
dc.description Only Abstract en_US
dc.description.abstract The classification of all cubic systems with the maximum number of invariant straight lines, including the line at infinity, and taking into account their geometric multiplicities, is given in [1], [4], [5]. The cubic systems with exactly eight and exactly seven distinct affine invariant straight lines have been studied in [4], [5]; with invariant straight lines of total geometric (parallel) multiplicity eight (seven) - in [2], [3], [8], and with six real invariant straight lines along two (three) directions – in [6], [7]. In [9] it was shown that in the class of cubic differential systems the maximal multiplicity of an affine real straight line is seven. In this paper are obtained canonical forms for cubic differential systems with affine real invariant straight lines of total parallel multiplicity six and configurations (2(m), 2(n), 1, 1). en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject cubic differential systems en_US
dc.subject canonical forms en_US
dc.subject invariant straight lines en_US
dc.title Canonical forms for cubic differential systems with affine real invariant straight lines of total parallel multiplicity six and configurations (2(m), 2(n), 1, 1) en_US
dc.type Article en_US


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